Division with negative powers

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So let's say the first polynomial is [ 1 0 1] and I divide it to [1 4 4 4 3] and the results should be [0 0 1 -4 13 -40 121 -364] the first 2 zeros are because x^0 and x^-1 have the quotient 0. How can this be done in matlab? deconv function only returns x at positive powers

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C.J. Harris
C.J. Harris 2018-3-20
u = [0 0 1 0 1];
v = [1 4 4 4 3];
Result = filter(u,v,[1, zeros(1,7)])
ans =
0 0 1 -4 13 -40 121 -364

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