SOLUTION: How would you factor out and solve for x, given x^3-x^2-4x+4=0? Thanks

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Question 941216: How would you factor out and solve for x, given x^3-x^2-4x+4=0?
Thanks
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
x^3-x^2-4x+4=0
group terms on the left:
(x^3-x^2) - (4x-4) = 0
x^2(x-1) - 4(x-1) = 0
(x-1)(x^2-4) = 0
x={1,2}