Question

Find the factors of Polynomial given below
1. 9x² - 625
2. 3x²+ x - 2
3. 9x² - 15x + 6

Answer 1

Answer:

1.

$= 9 {x}^{2} - 625$

$= (3x + 25)(3x - 25)$

2.

$= 3 {x}^{2} + x - 2$

$= 3 {x}^{2} + 3x - 2x - 2$

$= 3x(x + 1) - 2(x + 1)$

$= (3x - 2)(x + 1)$

3.

$9 {x}^{2} - 15x + 6$

$= 3(3 {x}^{2} - 5x + 2)$

$= 3(3 {x}^{2} - 3x - 2x + 2)$

$= 3(3x(x - 1) - 2(x - 1))$

$= 3(3x - 2)(x - 1)$