# How do you factor x^3+6x^2+5x+30 by grouping?

Sep 1, 2016

$\left(x + 6\right) \left({x}^{2} + 5\right)$

#### Explanation:

There are 4 terms and no common factor in all of them.

Make common factors by grouping in pairs - make sure there is a + between the groups,

${x}^{3} + 6 {x}^{2} + 5 x + 30 \text{ = } \left({x}^{3} + 6 {x}^{2}\right) + \left(5 x + 30\right)$

=${x}^{2} \left(x + 6\right) + 5 \left(x + 6\right) \leftarrow \text{ }$ there is a common bracket.

$\left(x + 6\right) \left({x}^{2} + 5\right)$