# How do you factor 2x^2 + x - 3 =0?

Feb 7, 2017

$\left(x - 1\right) \left(2 x + 3\right) = 0$

#### Explanation:

Given:

$2 {x}^{2} + x - 3 = 0$

Note that the sum of the coefficients is $0$. That is:

$2 + 1 - 3 = 0$

Hence $x = 1$ is a root and $\left(x - 1\right)$ a factor:

$0 = 2 {x}^{2} + x - 3 = \left(x - 1\right) \left(2 x + 3\right)$