# How do you factor 8x^2-17x+2?

May 3, 2015

$8 {x}^{2} - 17 x + 2$

Look for integer factoring:
$\text{Factors (ignoring signs) of } 8 = \left\{\begin{matrix}1 & 8 \\ 2 & 4\end{matrix}\right\}$
$\text{Factors (ignoring signs) of } 2 = \left\{\left(1 , 2\right)\right\}$

Checking for a combination that adds up to $17$
quickly gives
$\left(8 x - 1\right) \left(x - 2\right)$
as the required factors