# PreCalculus

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I'm trying to find the x-intercepts of a polynomial function = 4x^4-3x^3-6x^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 x-intercepts, I'm lost.

• PreCalculus -

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?

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