# How do you factor 39x^5+13x^3-78x^2?

Aug 30, 2016

$13 {x}^{2} \left(3 {x}^{3} + x - 6\right)$

#### Explanation:

Consider the $\textcolor{b l u e}{\text{common factors}}$ of the expression.

13 is a factor of all 3 coefficients and ${x}^{2}$ is common to all 3 terms.

$\Rightarrow \textcolor{b l u e}{\text{common factor}} = \textcolor{red}{13 {x}^{2}}$

$\Rightarrow \textcolor{red}{13 {x}^{2}} \left(3 {x}^{3} + x - 6\right) \text{ is factored form}$