# How do you factor the expression 10x^2+7x-12?

May 9, 2016

$= \left(2 x + 3\right) \left(5 x - 4\right)$

#### Explanation:

$10 \times 12 = 120 = 15 \times 8$
15-8=7
$10 {x}^{2} + 7 x - 12$
$= 10 {x}^{2} + 15 x - 8 x - 12$
$= 5 x \left(2 x + 3\right) - 4 \left(2 x + 3\right)$
$= \left(2 x + 3\right) \left(5 x - 4\right)$