# How do you factor a^2 + 7a - 30?

May 16, 2018

$\left(a + 10\right) \left(a - 3\right)$

#### Explanation:

You have to find two factors ($x$ and $y$), where

$x + y = + 7 \text{ }$ and where $\text{ } x \cdot y = 30$

${a}^{2} + 10 a - 3 a + 30$

Then take the common factor out.

$a \left(a + 10\right) - 3 \left(a + 10\right)$

$\left(a - 3\right) \left(a + 10\right)$