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 62536: Find all the roots of the polynomial x^3 -x^2 + 16x - 16.
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+x%5E3+-x%5E2+%2B+16x+-+16+
Break this into two separate pieces ....
+x%5E3+-x%5E2+ and +%2B+16x+-+16+
Factor each piece
+x%5E2%28x-1%29+ and +%2B16%28x-1%29+
Put the two pieces back together
+x%5E2%28x-1%29+%2B+16%28x-1%29+
The common factor is (x-1)
+%28x%5E2%2B16%29%28x-1%29+
done