# How do you factor #x^2+7x+12?

$\left(x + 3\right) \left(x + 4\right)$
$\text{the factors of + 12 which sum to + 7 are + 3 and + 4}$
$\Rightarrow {x}^{2} + 7 x + 12 = \left(x + 3\right) \left(x + 4\right)$