Question

How do you factor 9h² - 6h - 8?

Answer 1

You can find its roots and then turn them into factors. Turning a root into a factor means equaling it to zero.

I'll use Bhaskara here:

`(6+-sqrt(36-4(9)(-8)))/18`
`(6+-18)/18`
`h_1=4/3`, which is the same as the factor `3h-4=0`
`h_2=-2/3`, which is the same as the factor `3h+2=0`

`9h^2-6h-8=(3h-4)(3h+2)`