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Is this the correct form of computing "GCD" ?

Hi

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?

click to hide/show revision 2
No.2 Revision

Is this the correct form of computing "GCD" ?

Hi

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;

h=x^3-1; k= f.gcd(g)

k= f.gcd(g)

w=k.gcd(h)

w=k.gcd(h)

w

w

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

click to hide/show revision 3
No.3 Revision

Is this the correct form of computing "GCD" ?

Hi

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    .< R.< x, y ,z>       =PolynomialRing(QQ,3); ,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?