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Find the quadratic equation whose roots are x = -2 or x = 7

Mathematics
WAEC 1988
Find the quadratic equation whose roots are x = -2 or x = 7
  • A. x2 + 2x - 7 = 0
  • B. x2 - 2x + 7 = 0
  • C. x2 + 5 +14 = 0
  • D. x2 - 5x - 14 = 0
  • E. x2 + 5x - 14 = 0
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Correct Answer: Option D
Explanation
x + 2 and x - 7 are factors
(x+2)(x+7) = 0

x(x-7) + 2(x-7) = 0

x2 - 7x + 2x - 14 = 0

x2 - 5x - 14 = 0
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