SOLUTION: I need help learning the steps to this problem. Completely factor the polynomial ((( x^3-2x^2-5x+6 ))) given that x-1 is a factor

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: I need help learning the steps to this problem. Completely factor the polynomial ((( x^3-2x^2-5x+6 ))) given that x-1 is a factor      Log On

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Question 54095: I need help learning the steps to this problem.
Completely factor the polynomial
((( x^3-2x^2-5x+6 ))) given that x-1 is a factor
Answer by stanbon(48569) About Me  (Show Source):
You can put this solution on YOUR website!
Factor x^3-2x^2-5x+6 given that x-1 is a factor
If you know synthetic division you can find the
quadratic factor which is x^2 -x -6.
This quadratic factor reduces to (x-3)(x+2)
So the factored form of your problem is (x-1)(x-3)(x_2)
Cheers,
Stan H.