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Factorize 6×2 – 14x – 12

Factorize 6×2 – 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)
Correct Answer: Option C
Explanation

6×2 – 14x – 12 = 6×2 – 18x + 4x – 12
(3x + 2)(2x – 6)
= 3x(2x – 6) + 2(2x – 6)
= (3x + 2) 2(x – 3)