# How do you factor the trinomial x^2+8x+12?

Apr 6, 2018

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

#### Explanation:

$2 + 6 = 8$

$2 \cdot 6 = 12$

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

Check:
$= {x}^{2} + 6 x + 2 x + 12$
$= {x}^{2} + 8 x + 12$

Apr 6, 2018

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

#### Explanation:

$12 = 6 \cdot 2$; where $6 + 2 = 8$

$12 = 3 \cdot 4$; where $3 + 4 = 7$

$12 = 12 \cdot 1$, where $12 + 1 = 13$

So we will take $6$ and $2$.

Now;

${x}^{2} + 8 x + 12$

${x}^{2} + 6 x + 2 x + 12$

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

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