The factors of 9 - (x2 - 3x - 1)2 are
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)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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)
Source: Myschool Past Questions Archive (Record #32223)