hello everyone....im really hoping someone can help me, im in somewhat of a fix.

the problem is: x^{3}+2x^{2}-x-2

i have to:

find where f(x) is increasing/decreasing

where it is concave up/concave down

local max/min

and then finally sketch the curve of the graph

my first step is to take the derivative, which is : f'(x)=3x^{2}+4x-1

im a bit lost as to what i should do after this. i know i have to find the critical points where x=0 and is undefined.

when the whole equation =0, x= -4/3? the derivative cant be further factored, right?

i cant get past this point, so any guidance is highly appreciated. thanks.