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!