Algebramedium · Past Paper

If P(x) = x^3 - kx^2 + 2x - 4 is exactly divisible by x - 2, find k.

A1
B2
C3
D0

✓ Correct Answer: B2

P(2) = 2^3 - k(2^2) + 2(2) - 4 = 8 - 4k + 4 - 4 = 8 - 4k. 8-4k=0 => k=2.

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