Hello, all.

I need to find the zeros of the following polynomial so that I can graph it:

$\displaystyle f(x)=3x^2-x^4-2x$

First I factored out x and got:

$\displaystyle x(-x^3+3x-2)$

I used synthetic division to find another zero (-2) and so I now have:

$\displaystyle x(x+2)(-x^2+2x-1)$

I'm not sure how I can go any further. Can $\displaystyle -x^2+2x-1$ be factored out?

Thanks!