# How do you factor 10x^2 + 15x - 10?

Jun 13, 2015

The factors are 5, (x+2), (2x−1)
$10 {x}^{2} + 15 x - 10$
$= 10 {x}^{2} + 20 x - 5 x - 10$
$= 10 x \left(x + 2\right) - 5 \left(x + 2\right)$
$= \left(10 x - 5\right) \left(x + 2\right)$
$= 5 \left(x + 2\right) \left(2 x - 1\right)$