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Help with factoring cubic polynomials and find the zeros of the function

Yikes! I spent hours on this problem w/o any result.

f(x) = x^3 - x^2 - 2x + 2 = 0

My first step was to plug in some numbers and see if any of them would result in a zero.

f(x) = 0

I plugged in 1 and it resulted in a zero. So I figured that (x+1) is one of my factors. I proceeded to do synthetic division and that's when things got crazy.

How do I figure out the remaining factors? Please help!

Please see the attached. Thanks!