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Factorize 6x2 - 14x - 12

Mathematics
JAMB 1984

Factorize 6x2 - 14x - 12

  • A. 2(x + 3)(3x - 2)
  • B. 6(x - 2)(x + 1)
  • C. 2(x - 3)(3x + 2)
  • D. 6(x + 2)(x - 1)
  • E. (3x - 4)(2x + 3)
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Correct Answer: Option C
Explanation

6x2 - 14x - 12 = 6x2 - 18x + 4x - 12

(3x + 2)(2x - 6)

= 3x(2x - 6) + 2(2x - 6)

= (3x + 2) 2(x - 3)

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