# How do you factor y= 5x^2 + 22x + 8 ?

Jan 19, 2016

Ok write the quadratic using factors, you may try
$\left(5 x + 2\right) \left(x + 4\right)$multiply out and test...
Key is to think of the quadratic as
$\left(a x + h\right) \left(x + k\right)$ multiply long form

$a {x}^{2} + h x + a k x + h k$
$a {x}^{2} + \left(h + a k\right) x + h k$

Now see a = 5; h=2 ; k=4
So tha h+ak = 2+20=22; and kh= 8