SOLUTION: Hi, I was just wondering if I have the right answer for this equation. Thank you! 2x^2+7x+3 divided by 4x^2-1. The answer I have is (x+3) over (2x+1).

Algebra ->  Equations -> SOLUTION: Hi, I was just wondering if I have the right answer for this equation. Thank you! 2x^2+7x+3 divided by 4x^2-1. The answer I have is (x+3) over (2x+1).      Log On


   

Question 78009: Hi, I was just wondering if I have the right answer for this equation. Thank you!
2x^2+7x+3 divided by 4x^2-1. The answer I have is (x+3) over (2x+1).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%5E2%2B7x%2B3%29%2F%284x%5E2-1%29
Factor the numerator:

ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.
Error occurred executing solver 'quadratic_factoring' .



Now factor the denominator:

ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.
Error occurred executing solver 'quadratic_factoring' .



So after factoring we get
%28%282x%2B1%29%28x%2B3%29%29%2F%28%282x%2B1%29%282x-1%29%29
%28cross%28%282x%2B1%29%29%28x%2B3%29%29%2F%28cross%28%282x%2B1%29%29%282x-1%29%29 Cancel like terms

So %282x%5E2%2B7x%2B3%29%2F%284x%5E2-1%29 reduces to %28x%2B3%29%2F%282x-1%29
note: you were close, but had the wrong sign. You can always check your answers when you factor with this solver . Also, you can check your simplification by graphing.