# How do you factor 6x^4-18x^3+15x^2?

Sep 19, 2016

$3 {x}^{2} \left(2 {x}^{2} - 6 x + 5\right)$

#### Explanation:

Always look for a common factor first:

$6 {x}^{4} - 18 {x}^{3} + 15 x \text{ } \leftarrow$ there is a common factor of $3 {x}^{2}$

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

The quadratic trinomial does not factor further.