# How do you factor 5x^2 - 31x + 6?

Jul 17, 2016

$\left(5 x - 1\right) \left(x - 6\right)$

#### Explanation:

Find the factors of 5 and 6 which add to 31.
The signs are both minus.

Choose factors and find the cross-product until a sum of 31 is found.

$\text{5 1 } \Rightarrow 1 \times 1 = 1$
$\text{1 6 " rArr 5 xx 6 = 30" 30+ 1=31}$

Top row is the first factor, bottom row is the second.

$\left(5 x - 1\right) \left(x - 6\right)$