# How do you factor 2x³-3x²-2x+3?

Dec 30, 2015

See the following solution

#### Explanation:

$2 {x}^{3}$ - $3 {x}^{2}$ - 2x + 3
= ${x}^{2}$(2x - 3) - 1(2x - 3)
= (${x}^{2}$ - 1)(2x - 3)
= (x + 1)(x - 1)(2x - 3)