SOLUTION: Hi! I have been struggling with this question. It is : Completely factor x^3-3x^2-6x+8 and then set it to zero and solve for x. Thank you so much for your help.

Question 983562: Hi!
I have been struggling with this question.
It is :
Completely factor x^3-3x^2-6x+8 and then set it to zero and solve for x.
Thank you so much for your help.

Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
Find the roots of the polynomial. Use synthetic division to test the roots, -1,-2,-4,-8,1,2,4,8. You should find remainders to be 0 when you test for -2, or 1, or 4. Finding any one of these through synthetic division gives a resulting quadratic factor as the quotient, easily solved through factoring.

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