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6.34.6  Euclidean remainder: rem

The rem command finds the remainder of the Euclidean division of two polynomials (see also Section 6.28.3).


Example.
Input:

rem((x^3+x^2+1)%13,(2*x^2+4)%13)

Output:



−2
%13
x+
−1
%13

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


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