# How do you factor completely x²+3x+4x+12?

Nov 17, 2015

${x}^{2} + 3 x + 4 x + 12 = \left(x + 3\right) \left(x + 4\right)$

#### Explanation:

${x}^{2} + 3 x + 4 x + 12$

Factor out common terms from both pairs of terms.

$x \left(x + 3\right) + 4 \left(x + 3\right)$

Factor out the common term $\left(x + 3\right)$.

$\left(x + 3\right) \left(x + 4\right)$