Output of Deconv function Matlab

When you type the command deconv([1 -3 -52],[1 -4]) the answer is 1 1 which I did not expect since (x+1)(x-4) is not (x^2-3x-52). Can someone explain why?

>> deconv([1 -3 -52],[1 -4])

ans =

     1     1

>> conv([1 1],[1 -4])

ans =

     1    -3    -4

Answer 1

[David Goodmanson]

Hi Aleem,

[1 -4] does not divide evenly into [1 -3 -52] so there is a remainder:

[a b] = deconv([1 -3 -52],[1 -4])    % b is the remainder

a =  1     1
b =  0     0   -48

conv(a,[1 -4]) + b

ans =  1    -3   -52