SOLUTION: Divide and Simplify: 2x^2+x-6 4x^2-6x -------- / ------- x^2+4x-5 x^3-3x^2+2x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide and Simplify: 2x^2+x-6 4x^2-6x -------- / ------- x^2+4x-5 x^3-3x^2+2x       Log On


   

Question 552935: Divide and Simplify: 2x^2+x-6 4x^2-6x
-------- / -------
x^2+4x-5 x^3-3x^2+2x
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Dividing is multiplying by the inverse;
%282x%5E2%2Bx-6%29%2F%28x%5E2%2B4x-5%29/%284x%5E2-6x%29%2F%28x%5E3-3x%5E2%2B2x%29 = %28%282x%5E2%2Bx-6%29%2F%28x%5E2%2B4x-5%29%29%28%28x%5E3-3x%5E2%2B2x%29%2F%284x%5E2-6x%29%29 = %28%282x%5E2%2Bx-6%29%28x%5E3-3x%5E2%2B2x%29%29%2F%28%28x%5E2%2B4x-5%29%284x%5E2-6x%29%29
Factoring, you can simplify
%28%282x%5E2%2Bx-6%29%28x%5E3-3x%5E2%2B2x%29%29%2F%28%28x%5E2%2B4x-5%29%284x%5E2-6x%29%29 = = = %28x%5E3-4x%29%2F%282x%5E2%2B10x%29