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

Sep 1, 2016

$\left(x - 1\right) \left({x}^{2} + 2\right)$

#### Explanation:

There are 4 terms, there is no common factor in all 4, so group them to make common factors. Make sure there is a + sign between the groups.

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

=${x}^{2} \left(x - 1\right) + 2 \left(x - 1\right) \leftarrow$ there is a common bracket.

=$\left(x - 1\right) \left({x}^{2} + 2\right)$