# How do you factor the expression x^2 - 6x + 5?

Mar 4, 2018

#### Answer:

$\left(x - 5\right) \left(x - 1\right)$

#### Explanation:

The corresponding equation is ${x}^{2} - 6 x + 5 = 0$
$D = 36 - 20$
$D = 16$

${x}_{1} = \frac{6 + \sqrt{16}}{2} = \frac{10}{2} = 5$
${x}_{2} = \frac{6 - \sqrt{16}}{2} = \frac{2}{2} = 1$

So the expression becomes: $\left(x - 5\right) \left(x - 1\right)$