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

Mathematics
JAMB 1992
If x + 1 is a factor of x3 + 3x2 + kx + 4, find the value of k
  • A. 6
  • B. -6
  • C. 8
  • D. -8
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Correct Answer: Option A
Explanation
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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