# How do you factor 6x^2+9x+4x+6?

Oct 27, 2016

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

#### Explanation:

There are 4 terms and there is no common factor.
Group them to create a common factor and put in brackets.
There MUST be a PLUS sign between the brackets.

$\left(6 {x}^{2} + 9 x\right) + \left(4 x + 6\right)$

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

Now there is a common bracket. $\left(2 x + 3\right) \left(3 x + 2\right)$