# How do you factor x^5 + 2x^4 - 3x^3?

Mar 23, 2016

${x}^{3} \left(x + 3\right) \left(x - 1\right)$

#### Explanation:

To factor ${x}^{5} + 2 {x}^{4} - 3 {x}^{3}$ completely begin by factoring out the common factor ${x}^{3}$

${x}^{3} \left({x}^{2} + 2 x - 3\right)$
now factor the trinomial using
$\left(3\right) \left(- 1\right) = - 3$
$3 - 1 = 2$
$\left(x + 3\right) \left(x - 1\right)$

${x}^{3} \left(x + 3\right) \left(x - 1\right)$