{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-06T14:01:22.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-06T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":42692,"title":"Polynomial Evaluation","description":"Create a routine that takes a list of coefficients of a polynomial in order of increasing powers of x; together with a value of x to compute its value at, and return the value of the polynomial at that value using \u003chttp://www.physics.utah.edu/~detar/lessons/c++/array/node1.html Horner's Rule\u003e.\r\n\r\nFor example:\r\nA fast scheme for evaluating a polynomial such as:\r\n\r\n\u003c\u003chttp://rosettacode.org/mw/images/math/9/e/b/9eb10505118ec312428f2a4fb8b05d1f.png\u003e\u003e\r\n\r\nwhen\r\n\r\n\u003c\u003chttp://rosettacode.org/mw/images/math/2/6/6/2663fd4ac67a9a044457d845268cd7ce.png\u003e\u003e\r\n\r\nis to arrange the computation as follows:\r\n\r\n\u003c\u003chttp://rosettacode.org/mw/images/math/f/1/2/f1267a46eea12e7c046cfc7fcb859cc2.png\u003e\u003e\r\n\r\nN.B. Problem has been taken from \u003chttp://rosettacode.org/wiki/Rosetta_Code Rosetta Code\u003e","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 292px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 146px; transform-origin: 407px 146px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 382px 8px; transform-origin: 382px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCreate a routine that takes a list of coefficients of a polynomial in order of increasing powers of x; together with a value of x to compute its value at, and return the value of the polynomial at that value using\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"/#null\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eHorner's Rule\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 202.5px 8px; transform-origin: 202.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example: A fast scheme for evaluating a polynomial such as:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 25.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 12.75px; text-align: center; transform-origin: 384px 12.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16.5px 8px; transform-origin: 16.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhen\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: center; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAOBAMAAABN+VgMAAAAMFBMVEX///8AAAC2trZ0dHRiYmJAQEDm5uYwMDDMzMwiIiIWFhZQUFCenp6KiooMDAwEBASQHDlWAAAApklEQVR42mNmwAJOPwg7gk2cyYAhnoEJiwTzMYaiC9gkOFYxMHxgwA5ARim7pphj6JnMwMLBe8T7bEMDA0NUAEjoWQGQ4LG7x8DAwsC1AdOi6QxMTAzfBf5hSLxyABIHMfyRwMD4gIWB4ScD2y8GZDvq+RkYBFiY/n1kiJ0LFFq2DKbjnT9DQgPT+Q5LhruoRk39wPDvA7P8mjuMahdQJP5dnft6KgABWy0b9cYVLwAAAABJRU5ErkJggg==\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 127px 8px; transform-origin: 127px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis to arrange the computation as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 26.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 13.25px; text-align: center; transform-origin: 384px 13.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 108px 8px; transform-origin: 108px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN.B. Problem has been taken from\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"/#null\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eRosetta Code\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 122px 8px; transform-origin: 122px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eUse of polyval and regexp is prohibited\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = your_fcn_name(x,coefficients)\r\n  y = x;\r\nend","test_suite":"%%\r\nfiletext = fileread('your_fcn_name.m');\r\nassert(isempty(strfind(filetext, 'regexp'))\u0026(isempty(strfind(filetext, 'polyval'))))\r\n\r\n%%\r\nx = 3;\r\ncoefficients = [-19, 7, -4, 6];\r\ny_correct = 128;\r\nassert(isequal(your_fcn_name(x,coefficients),y_correct))\r\n\r\n%%\r\nx = 21;\r\ncoefficients = [5, -4, 7, -2];\r\ny_correct = -15514;\r\nassert(isequal(your_fcn_name(x,coefficients),y_correct))\r\n\r\n%%\r\nx = [11:15];\r\na = [-10:-6];\r\nb = [6:2:14];\r\nc = [-14:2:-6];\r\nd = [2:-1:-2];\r\ny_correct = [1024, 87 -1568 -4151 -7896];\r\nfor i = 1:5\r\n    coefficients = [a(i) b(i) c(i) d(i)];\r\n    assert(isequal(your_fcn_name(x(i),coefficients),y_correct(i)))\r\nend","published":true,"deleted":false,"likes_count":2,"comments_count":4,"created_by":58612,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":68,"test_suite_updated_at":"2021-05-09T07:49:07.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2015-11-27T23:26:16.000Z","updated_at":"2026-03-02T12:48:37.000Z","published_at":"2015-11-27T23:43:15.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCreate a routine that takes a list of coefficients of a polynomial in order of increasing powers of x; together with a value of x to compute its value at, and return the value of the polynomial at that value using\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eHorner's Rule\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example: A fast scheme for evaluating a polynomial such as:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"center\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhen\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"center\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eis to arrange the computation as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"center\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId3\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eN.B. Problem has been taken from\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eRosetta Code\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUse of polyval and regexp is prohibited\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image2.png\",\"relationshipId\":\"rId2\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image3.png\",\"relationshipId\":\"rId3\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null},{\"partUri\":\"/media/image2.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAOBAMAAABN+VgMAAAAMFBMVEX///8AAAC2trZ0dHRiYmJAQEDm5uYwMDDMzMwiIiIWFhZQUFCenp6KiooMDAwEBASQHDlWAAAApklEQVR42mNmwAJOPwg7gk2cyYAhnoEJiwTzMYaiC9gkOFYxMHxgwA5ARim7pphj6JnMwMLBe8T7bEMDA0NUAEjoWQGQ4LG7x8DAwsC1AdOi6QxMTAzfBf5hSLxyABIHMfyRwMD4gIWB4ScD2y8GZDvq+RkYBFiY/n1kiJ0LFFq2DKbjnT9DQgPT+Q5LhruoRk39wPDvA7P8mjuMahdQJP5dnft6KgABWy0b9cYVLwAAAABJRU5ErkJggg==\",\"relationship\":null},{\"partUri\":\"/media/image3.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":42692,"title":"Polynomial Evaluation","description":"Create a routine that takes a list of coefficients of a polynomial in order of increasing powers of x; together with a value of x to compute its value at, and return the value of the polynomial at that value using \u003chttp://www.physics.utah.edu/~detar/lessons/c++/array/node1.html Horner's Rule\u003e.\r\n\r\nFor example:\r\nA fast scheme for evaluating a polynomial such as:\r\n\r\n\u003c\u003chttp://rosettacode.org/mw/images/math/9/e/b/9eb10505118ec312428f2a4fb8b05d1f.png\u003e\u003e\r\n\r\nwhen\r\n\r\n\u003c\u003chttp://rosettacode.org/mw/images/math/2/6/6/2663fd4ac67a9a044457d845268cd7ce.png\u003e\u003e\r\n\r\nis to arrange the computation as follows:\r\n\r\n\u003c\u003chttp://rosettacode.org/mw/images/math/f/1/2/f1267a46eea12e7c046cfc7fcb859cc2.png\u003e\u003e\r\n\r\nN.B. Problem has been taken from \u003chttp://rosettacode.org/wiki/Rosetta_Code Rosetta Code\u003e","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 292px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 146px; transform-origin: 407px 146px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 382px 8px; transform-origin: 382px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCreate a routine that takes a list of coefficients of a polynomial in order of increasing powers of x; together with a value of x to compute its value at, and return the value of the polynomial at that value using\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"/#null\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eHorner's Rule\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 202.5px 8px; transform-origin: 202.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example: A fast scheme for evaluating a polynomial such as:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 25.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 12.75px; text-align: center; transform-origin: 384px 12.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16.5px 8px; transform-origin: 16.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhen\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: center; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAOBAMAAABN+VgMAAAAMFBMVEX///8AAAC2trZ0dHRiYmJAQEDm5uYwMDDMzMwiIiIWFhZQUFCenp6KiooMDAwEBASQHDlWAAAApklEQVR42mNmwAJOPwg7gk2cyYAhnoEJiwTzMYaiC9gkOFYxMHxgwA5ARim7pphj6JnMwMLBe8T7bEMDA0NUAEjoWQGQ4LG7x8DAwsC1AdOi6QxMTAzfBf5hSLxyABIHMfyRwMD4gIWB4ScD2y8GZDvq+RkYBFiY/n1kiJ0LFFq2DKbjnT9DQgPT+Q5LhruoRk39wPDvA7P8mjuMahdQJP5dnft6KgABWy0b9cYVLwAAAABJRU5ErkJggg==\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 127px 8px; transform-origin: 127px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis to arrange the computation as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 26.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 13.25px; text-align: center; transform-origin: 384px 13.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 108px 8px; transform-origin: 108px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN.B. Problem has been taken from\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"/#null\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eRosetta Code\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 122px 8px; transform-origin: 122px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eUse of polyval and regexp is prohibited\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = your_fcn_name(x,coefficients)\r\n  y = x;\r\nend","test_suite":"%%\r\nfiletext = fileread('your_fcn_name.m');\r\nassert(isempty(strfind(filetext, 'regexp'))\u0026(isempty(strfind(filetext, 'polyval'))))\r\n\r\n%%\r\nx = 3;\r\ncoefficients = [-19, 7, -4, 6];\r\ny_correct = 128;\r\nassert(isequal(your_fcn_name(x,coefficients),y_correct))\r\n\r\n%%\r\nx = 21;\r\ncoefficients = [5, -4, 7, -2];\r\ny_correct = -15514;\r\nassert(isequal(your_fcn_name(x,coefficients),y_correct))\r\n\r\n%%\r\nx = [11:15];\r\na = [-10:-6];\r\nb = [6:2:14];\r\nc = [-14:2:-6];\r\nd = [2:-1:-2];\r\ny_correct = [1024, 87 -1568 -4151 -7896];\r\nfor i = 1:5\r\n    coefficients = [a(i) b(i) c(i) d(i)];\r\n    assert(isequal(your_fcn_name(x(i),coefficients),y_correct(i)))\r\nend","published":true,"deleted":false,"likes_count":2,"comments_count":4,"created_by":58612,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":68,"test_suite_updated_at":"2021-05-09T07:49:07.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2015-11-27T23:26:16.000Z","updated_at":"2026-03-02T12:48:37.000Z","published_at":"2015-11-27T23:43:15.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCreate a routine that takes a list of coefficients of a polynomial in order of increasing powers of x; together with a value of x to compute its value at, and return the value of the polynomial at that value using\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eHorner's Rule\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example: A fast scheme for evaluating a polynomial such as:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"center\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhen\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"center\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eis to arrange the computation as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"center\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId3\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eN.B. Problem has been taken from\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eRosetta Code\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUse of polyval and regexp is prohibited\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image2.png\",\"relationshipId\":\"rId2\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image3.png\",\"relationshipId\":\"rId3\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null},{\"partUri\":\"/media/image2.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAOBAMAAABN+VgMAAAAMFBMVEX///8AAAC2trZ0dHRiYmJAQEDm5uYwMDDMzMwiIiIWFhZQUFCenp6KiooMDAwEBASQHDlWAAAApklEQVR42mNmwAJOPwg7gk2cyYAhnoEJiwTzMYaiC9gkOFYxMHxgwA5ARim7pphj6JnMwMLBe8T7bEMDA0NUAEjoWQGQ4LG7x8DAwsC1AdOi6QxMTAzfBf5hSLxyABIHMfyRwMD4gIWB4ScD2y8GZDvq+RkYBFiY/n1kiJ0LFFq2DKbjnT9DQgPT+Q5LhruoRk39wPDvA7P8mjuMahdQJP5dnft6KgABWy0b9cYVLwAAAABJRU5ErkJggg==\",\"relationship\":null},{\"partUri\":\"/media/image3.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"term":"tag:\"polynomial 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