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

If x100 + 2x99 + k is divisible by (x + 1), then the value of k is:

Option:
A. 1
B. -3
C. 2
D. -2
Answer: A . 1

Justification:

Since (x + 2) is a factor, x = -2 will make the given expression zero.
.`. - 8 - 20 + 4p = 0  ↔  p = 7. 

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