# How do you factor 3n^2-8n+5?

Mar 31, 2018

$\left(n - 1\right) \left(3 n - 5\right)$

#### Explanation:

1.) write $- 8 n$ as a sum or difference
$\implies 3 {n}^{2} - 3 n - 5 n + 5$

2.) factor out $3 n$ and $- 5$ from the expression:
$\implies 3 n \left(n - 1\right) - 5 \left(n - 1\right)$

3.) factor out $\left(n - 1\right)$ from the expression
$\implies \left(n - 1\right) \left(3 n - 5\right)$

Mar 31, 2018

$\left(3 n - 5\right) \left(n - 1\right)$
$3 {n}^{2}$ only has two factors, $3 n \mathmr{and} n$