SOLUTION: Could someone please show me how to divide this equation {{{(16x^3-8x^2-60x-36)/(4x+4)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Could someone please show me how to divide this equation {{{(16x^3-8x^2-60x-36)/(4x+4)}}}      Log On


   



Question 152231: Could someone please show me how to divide this equation
%2816x%5E3-8x%5E2-60x-36%29%2F%284x%2B4%29

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
divide this equation
%2816x%5E3-8x%5E2-60x-36%29%2F%284x%2B4%29
First factor out 4 in both the numerator and denominator:
%284%284x%5E3-2x%5E2-15x-9%29%29%2F%284%28x%2B1%29%29
Cancel 4
%28%284x%5E3-2x%5E2-15x-9%29%29%2F%28%28x%2B1%29%29
Now you can use synthetic division
:
......___________
-1 |4 - 2 - 15 - 9
............-4 + 6 + 9
......---------------
......4 - 6 - 9 + 0
:
Which is: 4x^2 - 6x - 9
:
you can say: (16x^3-8x^2-60x-36) / (4x+4) = 4x^2 - 6x - 9, no remainder