# How do you factor the expression x^2 + 4x - 12?

Jul 22, 2018

$\left(x - 2\right) \left(x + 6\right)$

#### Explanation:

Let's do a little thought experiment:

What two numbers sum up to $4$ and have a product of $- 12$?

After some trial and error, we arrive at $- 2$ and $6$. This allows us to factor this as

$\left(x - 2\right) \left(x + 6\right)$

Hope this helps!

Jul 23, 2018

$\left(x + 6\right) \cdot \left(x - 2\right)$

#### Explanation:

${x}^{2} + 4 x - 12$

=${x}^{2} + 4 x + 4 - 16$

=${\left(x + 2\right)}^{2} - {4}^{2}$

=$\left(x + 2 + 4\right) \cdot \left(x + 2 - 4\right)$

=$\left(x + 6\right) \cdot \left(x - 2\right)$