What is the HCF of x^3 - 1 and x^2 + x + 1? – Algebra

Algebrahard · Past Paper

What is the HCF of x^3 - 1 and x^2 + x + 1?

Ax - 1

Bx^2 + x + 1

Cx + 1

✓ Correct Answer: B — x^2 + x + 1

x^3 - 1 = (x - 1)(x^2 + x + 1). The second expression is already x^2 + x + 1. The HCF is x^2 + x + 1.

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