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The factors of 9 - (x2 - 3x - 1)2 are

The factors of 9 - (x2 - 3x - 1)2 are
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  • A -(x - 4)(x + 1) (x - 1)(x - 2)
  • B (x - 4)(x - 2) (x - 1)(x + 1)
  • C -(x - 2)(x + 1) (x - 2) (x - 1)
  • D (x - 2)(x + 2) (x - 1)(x + 1)
Correct Answer: Option A
Explanation:
9 - (x2 - 3x - 1)2 = [3 - (x2 - 3x - 1)] [3 + (x2 - 3x - 1)]
= (3 - x2 + 3x + 1)(3 + x2 - 3x - 1)
= (4 + 3x - x2)(x2 - 3x + 2)
= (4 - x)(1 + x)(x - 1)(x - 2)
= -(x - 4)(x + 1) (x - 1)(x - 2)

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