SOLUTION: find all roots of the polynomial x^3-x^2+16x-16. I took the roots of -16 (+- 1,2,4,8,16) and x^3 (+-1) I used synthetic div to find roots +1 worked but none of the other

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: find all roots of the polynomial x^3-x^2+16x-16. I took the roots of -16 (+- 1,2,4,8,16) and x^3 (+-1) I used synthetic div to find roots +1 worked but none of the other      Log On


   

Question 55665This question is from textbook
: find all roots of the polynomial x^3-x^2+16x-16.
I took the roots of -16 (+- 1,2,4,8,16) and x^3 (+-1)

I used synthetic div to find roots
+1 worked but none of the others did??

Answers to choose from
1,4,-4
-1,4,-4
-1,4i,-4i
1,4i,-4i This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x^3-x^2+16x-16
If "1" worked with synthetic division you must
have gotten a quadratic quotient and zero as
the remainder.
Use the quadratic formula on the quadratic quotien
to find the two missing roots.
Cheers,
Stan H.