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If (x + 2) and (x - 1) are factors of the expression \(Lx^{3} +...

Mathematics
JAMB 1983

If (x + 2) and (x - 1) are factors of the expression \(Lx^{3} + 2kx^{2} + 24\), find the values of L and k.

  • A. 1 = -6, k = -9
  • B. 1 = -2, k = 1
  • C. k = -1, 1 = -2
  • D. 1 = 0, k = 1
  • E. k = 0,1 = 6
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Correct Answer: Option A
Explanation

f(x) = Lx3 + 2kx2 + 24

f(-2) = -8L + 8k = -24

4L - 4k = 12

f(1):L + 2k = -24

L - 4k = 3

3k = -27

k = -9

L = -6

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