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Basic operations, simple factors, factor Theorem, Remainder Theorem, Division of polynomials.

If x3 + 6x+ 4x + k is exactly divisible by (x + 2), then the value of k is :

Option:
A. - 6
B. - 7
C. - 8
D. - 10
Answer: C . - 8

Justification:

Since (x + 2) is a factor, x = -2 will make it zero
.`. (-2)3 + 6(-2)2 + 4(-2) + k = 0  or  k = -8.

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