SOLUTION: Hello, can you please help me understand step by step how to divide this kind of problem: Divide: 2x^2+5x-12 over 9x^2 divided by 2x^2-7x+6 over 3x^2-x-4 To my understanding, we

Algebra ->  Radicals -> SOLUTION: Hello, can you please help me understand step by step how to divide this kind of problem: Divide: 2x^2+5x-12 over 9x^2 divided by 2x^2-7x+6 over 3x^2-x-4 To my understanding, we       Log On


   

Question 117924: Hello, can you please help me understand step by step how to divide this kind of problem: Divide:
2x^2+5x-12 over 9x^2 divided by 2x^2-7x+6 over 3x^2-x-4
To my understanding, we are to rewrite the problem as multiplication, and then factor out the polynomials. When I did this, my answer was incorrect and I am not sure what the correct steps to take are. Any help is greatly appreciated.
Thank you
Patti
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%282x%5E2%2B5x-12%29%2F%289x%5E2%29%29%2F%28%282x%5E2-7x%2B6%29%2F%283x%5E2-x-4%29%29 Start with the given expression

Multiply the first fraction by the reciprocal of the second fraction


%28%28%28x%2B4%29%282x-3%29%29%2F%289x%5E2%29%29%28%283x%5E2-x-4%29%2F%282x%5E2-7x%2B6%29%29 Factor 2x%5E2%2B5x-12 to get %28x%2B4%29%282x-3%29

Factor 9x%5E2 to get 9%28x%5E2%29

Factor 3x%5E2-x-4 to get %283x-4%29%28x%2B1%29

Factor 2x%5E2-7x%2B6 to get %28x-2%29%282x-3%29


%28x%2B4%29%282x-3%29%283x-4%29%28x%2B1%29%2F9%28x%5E2%29%28x-2%29%282x-3%29 Combine the fractions



Cancel like terms



%28x%2B4%29%283x-4%29%28x%2B1%29%2F9x%5E2%28x-2%29 Simplify