Algebramedium · Past Paper

If x + 2 is a factor of x^3 + 2x^2 - x + k, find k.

A2
B-2
C0
D1

✓ Correct Answer: B-2

By Factor Theorem, P(-2) = 0. (-2)^3 + 2(-2)^2 - (-2) + k = -8 + 8 + 2 + k = 0, so k = -2.

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