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Euclidian remainder : rem

rem takes as arguments two polynomials A and B with coefficients in $ \mathbb {Z}$/p$ \mathbb {Z}$, where A and B are list polynomials or symbolic polynomials with respect to x or to an optionnal third argument.
rem returns the remainder of the euclidian division of A by B in $ \mathbb {Z}$/p$ \mathbb {Z}$[x].
Input :
Or :
Indeed x3 + x2 +1 = (2x2 +4)($\displaystyle {\frac{{x+1}}{{2}}}$) + $\displaystyle {\frac{{5x-4}}{{4}}}$ and -3*4 = - 6*2 = 1  mod 13.

giac documentation written by Renée De Graeve and Bernard Parisse