SOLUTION: Find the zero of the polynomial function and state the multiplicity F(x)=2x^3-x^2-8x+4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the zero of the polynomial function and state the multiplicity F(x)=2x^3-x^2-8x+4      Log On


   



Question 1128920: Find the zero of the polynomial function and state the multiplicity
F(x)=2x^3-x^2-8x+4

Found 2 solutions by josgarithmetic, Boreal:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
-2  |   2   -1   -8   4
    |
    |      -4    10   -4
    |_________________________
       2   -5    2    0


2   |   2   -5   2
    |
    |        4  -2
    |__________________
       2    -1   0


2x-1=0
2x=1
x=1%2F2

The zeros of F are system%28-2%2C1%2F2%2C2%29

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
2 2 -1 -8 4
2 3 -2 0
(x-2)(2x^2+3x-2)
=(x-2)(2x-1)(x+2)
zeros of 2 -2 and 1/2
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C2x%5E3-x%5E2-8x%2B4%29