SOLUTION: Find the completely factored of: f(x)=2x^4-x^3-13x^2-6x if (x+2) is one of the factors

Algebra ->  Functions -> SOLUTION: Find the completely factored of: f(x)=2x^4-x^3-13x^2-6x if (x+2) is one of the factors      Log On


   

Question 1004802: Find the completely factored of:
f(x)=2x^4-x^3-13x^2-6x if (x+2) is one of the factors
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=2x%5E4-x%5E3-13x%5E2-6x
x%282x%5E3-x%5E2-13x-6%29

Synthetic Division instead of Polynomial Division
     -2    |    2    -1    -13    -6
           |
           |         -4     10    6
           |_________________________________
                2    -5     -3     0

The quotient means quadratic factor 2x%5E2-5x-3,
%282x%2B1%29%28x-3%29
for the completely factored function
highlight%28f%28x%29=x%28x%2B2%29%28x-3%29%282x%2B1%29%29