# Is it possible to factor y=5x^2-9x-2 ? If so, what are the factors?

Jun 7, 2018

$y = \left(5 x + 1\right) \cdot \left(x - 2\right)$

#### Explanation:

$y = 5 {x}^{2} - 9 x - 2$

$= 5 {x}^{2} + x - 10 x - 2$

$= x \cdot \left(5 x + 1\right) - 2 \cdot \left(5 x + 1\right)$

=$\left(5 x + 1\right) \cdot \left(x - 2\right)$