I want to find the bezout coefficient for those 2 polynomials :
$f = 1+x-x^2-x^4+x^5$ and $g = -1+x^2+x^3-x^6$ when I use the gcd function in sage the output is :
sage: gcd(f,g)
sage: 1
but 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
