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Factorize 2x\(^2\) - 21x + 45

Mathematics
WAEC 1993

Factorize 2x\(^2\) - 21x + 45

  • A. (2x - 9)(x - 5)
  • B. (2x-15)(x + 3)
  • C. (2x +15)(x - 3)
  • D. (2x -15(x - 3)
  • E. (2x - 9)(x + 5)
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Correct Answer: Option D
Explanation

2x\(^2\) - 21x + 45

= 2x\(^2\) - 15x - 6x + 45

= x(2x - 15) - 3(2x - 15)

= (x - 3)(2x - 15)


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