# How do you factor 10m^3+2m^2-36m?

Mar 10, 2018

See a solution process below:

#### Explanation:

First, factor a common term of $2 m$ out of each individual term:

$\left(2 m \cdot 5 {m}^{2}\right) + \left(2 m \cdot m\right) - \left(2 m \cdot 18\right) \implies$

$2 m \left(5 {m}^{2} + m - 18\right)$

Next, factor the quadratic as:

$2 m \left(5 m - 9\right) \left(m + 2\right)$

Mar 10, 2018

$2 m \left(m + 2\right) \left(5 m - 9\right)$

#### Explanation:

$10 {m}^{3} + 2 {m}^{2} - 36 m = 2 m \left(5 {m}^{2} + m - 18\right)$

$= 2 m \left(5 {m}^{2} + 10 m - 9 m - 18\right)$

$= 2 m \left\{5 m \left(m + 2\right) - 9 \left(m + 2\right)\right\}$

$= 2 m \left(m + 2\right) \left(5 m - 9\right)$ [ Ans]