Question

Full process to find HCF of x^3 -1 and x^4+ x^2 + 1​

Answer 1

Explanation:

Factor of x^3-1= (x-1)(X^2+X+1)

Apply the formula of a^3-b^3=(a-b)(a^2+b^2+1)

X^4+x^2+1=(x^2+X+1)(x^2-x+1)

H.c.f is (x^2+X+1)