SOLUTION: {{{(x^2+7x+12)/(2x^2-6x-36)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: {{{(x^2+7x+12)/(2x^2-6x-36)}}}      Log On


   

Question 862077: %28x%5E2%2B7x%2B12%29%2F%282x%5E2-6x-36%29
Answer by ben720(159) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2%2B7x%2B12%29%2F%282x%5E2-6x-36%29
Factor out a 2 on the bottom
%28x%5E2%2B7x%2B12%29%2F%282%28x%5E2-3x-18%29%29
To factor (x^2-3x-18), find the numbers that multiply to -18 and add to -3. These numbers are -6 and 3.
%28x%5E2%2B7x%2B12%29%2F%282%28x-6%29%28x%2B3%29%29
To factor (x^2+7x+12), find the numbers that multiply to 12 and add to 7. These numbers are 3 and 4.
%28x%2B3%29%28x%2B4%29%2F2%28x-6%29%28x%2B3%29
Because x+3 is on both sides of the fraction, you can cancel those out.
%28x%2B4%29%2F2%28x-6%29
This equation is now fully factored.