Question

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If (x + 2) is a factor of x^3 − 6x^2 + kx + 10, k = [ ] .

Answer 1

k = -11.

Explanation:

By the Factor theorem if x + 2 is a factor of this expression then f(-2) = 0, so we have:

(-2)^3 - 6(-2)^2 - 2k + 10 = 0

-8 - 24 + 10 = 2k

k = -22/2

k = -11.