Question

(2) Factorize the following polynomials.
(i) (x2 - x)2 – 8 (x2 – x) + 12
C​

Answer 1

Answer:

$( {x}^{2} - x)2 - 8( {x}^{2} - x) + 12 \\ 2 {x}^{2} - 2x - 8 {x}^{2} + 8x + 12 \\ - 6 {x}^{2} + 6x + 12 \\ - 6( {x}^{2} - x - 2) \\ {x}^{2} - x - 2 \\ {x}^{2} - 2x + x - 2 \\ x(x - 2) + 1(x - 2) \\ (x - 2)(x + 1)$