# How do you factor 2x^3 + 10x^2 + 4x + 20?

Jul 20, 2016

$2 \left(x + 5\right) \left({x}^{2} + 2\right)$

#### Explanation:

There are 4 terms and there is a common factor of 2 in all of them. We can also group the term in pairs to create other common factors:

$\left(2 {x}^{3} + 10 {x}^{2}\right) + \left(4 x + 20\right)$

=$2 {x}^{2} \left(x + 5\right) + 4 \left(x + 5\right) \text{ }$
We now have a common bracket and a common factor of 2

=$2 \left(x + 5\right) \left({x}^{2} + 2\right)$