SOLUTION: Find all the roots of the polynomial x^3-x^2=16x-16.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all the roots of the polynomial x^3-x^2=16x-16.      Log On


   

Question 46197: Find all the roots of the polynomial x^3-x^2=16x-16.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
graph%28600%2C600%2C-10%2C10%2C-10%2C10%2Cx%5E3-x%5E2-16x%2B16%29
Use Synthetic Division To Get:
(x - 1)(x^2 - 16) = 0
(x + 4)(x - 4)(x - 1) = 0