Question

10. The factors of 9x2 - 22x + 8 are
a) (3x – 4)(3x + 2)
b) (9x – 4)(x - 2)
c) (9x – 2)(x - 4)
d) (3x + 4)(3x - 2)​

Answer 1

Step-by-step explanation:

$9 {x}^{2} - 22x + 8$

$= 9 {x}^{2} - (18 + 4)x + 8$

$= 9 {x}^{2} - 18x - 4x + 8$

$= 9x(x - 2) - 4(x - 2)$

$= (x - 2)(9x - 4)$