SOLUTION: Okay, I was supposed to divide x^2+2x-15/4x^2 divided by x^2-25/2x-10. My answer is x+3/2x^2 Did I solve this correctly?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Okay, I was supposed to divide x^2+2x-15/4x^2 divided by x^2-25/2x-10. My answer is x+3/2x^2 Did I solve this correctly?       Log On


   

Question 86005: Okay, I was supposed to divide x^2+2x-15/4x^2 divided by x^2-25/2x-10. My answer is x+3/2x^2 Did I solve this correctly?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Almost!
Divide:
%28%28x%5E2%2B2x-15%29%2F4x%5E2%29%2F%28%28x%5E2-25%29%2F%282x-10%29%29 Invert the 2nd fraction and multiply.
%28%28x%5E2%2B2x-15%29%2F4x%5E2%29%28%282x-10%29%2F%28x%5E2-25%29%29%29 Factor the numerators and denominators where possible.
Cancel the like-factors as indicated leaving you with:
2%28x-3%29%2F4x%5E2 Cancel 2's
%28x-3%29%2F2x%5E2
Notice that in your answer, the numerator has the opposite sign but was otherwise correct!