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5.34.6  Euclidean remainder : rem

rem takes as arguments two polynomials A and B with coefficients in ℤ/pℤ, where A and B are list polynomials or symbolic polynomials with respect to x or to an optional third argument.
rem returns the remainder of the euclidean division of A by B in ℤ/pℤ[x].
Input :


or :




Indeed x3+x2+1=(2x2+4)(x+1/2)+5x−4/4 and −3*4=−6*2=1 mod13.

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