I want to find the bezout coefficient for those 2 polynomials :
f=1+x−x2−x4+x5 and g=−1+x2+x3−x6 when I use the gcd function in sage the output is :
sage: gcd(f,g)
sage: 1but when I use xgcd(f,g) it gives me the following :
(−27, $9x^5 - 18x^2 - 9x - 9,9x^4 - 9x^3 - 18x + 18$)
I want xgcd to give me 1 instead of -27 so the polynomials will be the bezout coefficients
P.S: I can't divide the polynomials by -27 because i'm working in ZZ
