# How do you factor x^ { 2} + 3x - 54?

Oct 20, 2016

$\left(x - 6\right) \left(x + 9\right)$ are the factors of the quadratic.

#### Explanation:

${x}^{2} + 3 x - 54$ is called a quadratic trinomial.

Find factors of 54 which differ by +3

= ${x}^{2} - 6 x + 9 x - 54$

= $x \left(x - 6\right) + 9 \left(x - 6\right)$

=$\left(x - 6\right) \left(x + 9\right)$

These are the factors of the expression.