SOLUTION: Please complete the factored form of the polynomial f(x)=6x^3+2x^2-16x+8

Question 470739: Please complete the factored form of the polynomial
f(x)=6x^3+2x^2-16x+8
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Please complete the factored form of the polynomial
f(x)=6x^3+2x^2-16x+8
**
If you are allowed to use a calculator, you will find that 1 is one of the roots. The other two roots can be found by long division or synthetic division. I will use the latter method.
0).......6......2......-16.....8
1)...............6.........8....-8
..........6......8.......-8......0
f(x)=(x-1)(6x^2+8x-8)
6x^2+8x-8=0
3x^2+4x-4=0
(3x-2)(x+2)=0
3x-2=0
x=2/3
x+2=0
x=2
..
f(x)=(x-1)(3x-2)(x+2)
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