suivant: Division in /p or
monter: Computing in /p or
précédent: Euclidian remainder : rem
Table des matières
Index
Euclidian quotient and euclidian remainder : quorem
quorem takes as arguments
two polynomials A and B with coefficients in
/p, where
A and B are list polynomials or symbolic polynomials with
respect to x or to an optionnal third argument.
quorem returns the list of the quotient and remainder of the
euclidian division of A by B in
/p[x]
(see also 1.6.12 and 1.25.6).
Input :
quorem((x^
3+x^
2+1)%13,(2*x^
2+4)%13)
Or :
quorem((x^
3+x^
2+1,2*x^
2+4)%13)
Output:
[(-6%13)*x+-6%13,(-2%13)*x+-1%13]
Indeed
x3 + x2 +1 = (2x2 +4)() +
and
-3*4 = - 6*2 = 1 mod 13.
giac documentation written by Renée De Graeve and Bernard Parisse