Which of the following is a factor of x^3 + x^2 + x + 1... – Algebra

Algebramedium · Past Paper

Which of the following is a factor of x^3 + x^2 + x + 1?

Ax - 1

Bx + 1

Cx + 2

Dx - 2

✓ Correct Answer: B — x + 1

P(-1) = (-1)^3 + (-1)^2 + (-1) + 1 = -1 + 1 - 1 + 1 = 0. By factor theorem, x+1 is a factor.

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