Is this the correct form of computing "GCD" ?

Neda
65 ●5 ●10 ●20

calc314
4191 ●22 ●48 ●113

I want to compute the following GCD,

GCD(x^4+x^2+1,x^4-x^2-2*x, x^3 - x^2-4 * x+4 )

I wrote it as

R.< x, y ,z>=PolynomialRing(QQ,3); 
f=x^4+x^2+1;
g=x^4-x^2-2*x;
h=x^3-1;

k= f.gcd(g)
w=k.gcd(h)
w

Is it the correct form? or I should try any other commands?

1 Answer

Sort by » oldest newest most voted

Faster way that is documented in the function gcd

sage: R.<x> = PolynomialRing(QQ,'x')
sage: f = x^4+x^2+1
sage: g = x^4-x^2-2*x
sage: h = x^3-1
sage: gcd([f,g,h])
1

Please start posting anonymously - your entry will be published after you log in or create a new account.

Asked: 2013-04-04 13:36:27 +0200

Seen: 230 times

Last updated: Apr 05 '13