# How do you factor x^2+10x+3?

May 22, 2015

You can find its roots and then turn them into factors.

$\frac{- 10 \pm \sqrt{100 - 4 \left(1\right) \left(3\right)}}{2}$
${x}_{1} = - 5 - \sqrt{22}$
${x}_{2} = - 5 + \sqrt{22}$
$\left(x + 5 + \sqrt{22}\right) \left(x + 5 - \sqrt{22}\right)$