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

Jun 12, 2017

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

#### Explanation:

We factor by grouping the first term:

${x}^{3} - 2 {x}^{2}$

Which is:

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

Then factor the second term:

$\left(x - 2\right)$

Which is:

$1 \left(x - 2\right)$

Then combine the like factors:

${\textcolor{b l u e}{x}}^{2} \left(x - 2\right) + \textcolor{b l u e}{1} \left(x - 2\right)$

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