Find the HCF of x^3 - 1, x^4 + x^2 + 1, and x^2 - 1. – Algebra

Algebrahard · Past Paper

Find the HCF of x^3 - 1, x^4 + x^2 + 1, and x^2 - 1.

Ax - 1

Bx + 1

Cx^2 + x + 1

✓ Correct Answer: D — 1

x^3-1=(x-1)(x^2+x+1). x^4+x^2+1=(x^2+x+1)(x^2-x+1). x^2-1=(x-1)(x+1). There is no common factor across all three, HCF is 1.

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