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If \(2x^2 + kx - 14 = (x+2)(2x-7)\), find the value of K

Mathematics
WAEC 2001

If \(2x^2 + kx - 14 = (x+2)(2x-7)\), find the value of K

  • A. -3
  • B. 5
  • C. 9
  • D. 11
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Correct Answer: Option A
Explanation

\(2x^2 + kx - 14 = (x+2)(2x-7)\)
∴2\(x^2 + kx - 14 = 2x^2 - 3x - 14\)
equating coefficient K = -3

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