Algebrahard · Past Paper

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

Ax^2 - x + 1
Bx^2 + x + 1
Cx - 1
D1

✓ Correct Answer: Bx^2 + x + 1

x^4 + x^2 + 1 = (x^2 + x + 1)(x^2 - x + 1). Thus, HCF is x^2 + x + 1.

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