# How do you factor x^2 + 33x - 108?

Mar 3, 2018

${x}^{2} + 33 x - 108 = \left(x + 36\right) \left(x - 3\right)$

#### Explanation:

Find a pair of factors of $108$ which differ by $33$.

The pair $36 , 3$ works in that $36 \cdot 3 = 108$ and $36 - 3 = 33$

Hence:

${x}^{2} + 33 x - 108 = \left(x + 36\right) \left(x - 3\right)$