Question

How do you factor `2x^2+11x-6`?

Answer 1

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

Let's use Bhaskara to find them.

`(-11+-sqrt(121-4(2)(-6)))/4`
`(-11+-13)/4`
`x_1=1/2`, which is the same as the factor `(2x-1)=0`
`x_2=-6`, which is the same as the factor `(x+6)=0`

Thus,

`2x^2+11x-6=(2x-1)(x+6)`