If x + 1 is a factor of x3 + 3x2 + kx + 4, find the value of k

A.

6

B.

-6

C.

8

D.

-8

View answer & explanation

Correct answer is A

x + 1 is a factor of x3 + 3x2 + kx + 4

Let f(x) = x3 + 3x2 + kx + 4

∴ f(-1) = (-1)3 + 3(-1)2 + k(-1) + 4 = 0

-1 + 3 - k + 4 = 0

∴ k = 6

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