# How do you factor 3x^3 - 9x^2?

Mar 12, 2018

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

#### Explanation:

$3 {x}^{3} - 9 {x}^{2} = x \cdot 3 {x}^{2} - 3 \cdot 3 {x}^{2} = 3 {x}^{2} \left(x - 3\right)$

$3 {x}^{3} - 9 {x}^{2}$
$3 {x}^{2} \left(x - 3\right)$

This equation Has roots x=0 and x=3
As ,at these two points the above equation is $= 0$