SOLUTION: Solve the polynomial equation by factoring and using the zero product principle. I have solved simpiler versions but I'm having a hard time understanding how to attack this one.

Question 237943: Solve the polynomial equation by factoring and using the zero product principle. I have solved simpiler versions but I'm having a hard time understanding how to attack this one.
X^3-2X^2-X+2=0
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
X^3-2X^2-X+2=0
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Factor the 1st two and the last two terms separately.
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x^2(x-2)-(x-2) = 0
(x-2)(x^2-1) = 0
(x-2)(x-1)(x+1) = 0
x = 2 or x = 1 or x = -1
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Cheers,
Stan H.
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