PreCalculus
posted by Manny on .
I'm trying to find the xintercepts of a polynomial function = 4x^43x^36x^2+2x+6.
I don't want anyone to solve it, could someone please just tell me how to start factoring this so I can find the xintercepts, I'm lost.

Well, if you factor it, you have solved it.
However, if you want just a hint, recall that if there are rational roots, the numerator must be a factor of 6, and the denominator must be a factor of 4
So, start doing a little synthetic division, trying easy values first. Homework assignments are usually not *too* complicated.
Hmmm. It seems I was wrong. There are no real roots at all.
Factoring quartics is a complicated business. You sure there are no typos?