# How do you factor 3x^2+8x+4 by using the grouping method?

Mar 29, 2018

$\left(x + 2\right) \left(3 x + 2\right)$

#### Explanation:

1) Multiply the $a$ and $c$ terms together which in this case is $3$ and $4$.

$3 \setminus \times 4 = 12$

2) Find factors of $12$ that when added together will get you to the $b$ term, which is $8$.

Those two are $2$ and $6$.

3) Expand and factor with grouping. Closely follow the steps.

$3 {x}^{2} + 2 x + 6 x + 4$

$x \left(3 x + 2\right)$ and $2 \left(3 x + 2\right)$

$\left(x + 2\right) \left(3 x + 2\right)$