Question

Factor completely. Rewrite the expression if it is not factorable. 32a^2 -8a - 60=

Answer 1

`3a^2-8a-60`

We will factorize using quadratic formula, like this:

`\frac{8\pm\sqrt[]{64-4\cdot3\cdot(-60)}}{2\cdot3}`
`\frac{8\pm\sqrt[]{64+720}}{6}`
`\frac{8\pm\sqrt[]{784}}{6}`
`(8\pm28)/(6)`

We have two options:

`(8-28)/(6)=(-20)/(6)=(-10)/(3)`

And

`(8+28)/(6)=(36)/(6)=6`

So, the factors of the original function are:

`3a^2-8a-60=(a-6)(3a+10)`