SOLUTION: Divide x^2+3x-40 by x-5 and show work.. I know its x+8 but don't know how to get the answer

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide x^2+3x-40 by x-5 and show work.. I know its x+8 but don't know how to get the answer      Log On


   

Question 636163: Divide x^2+3x-40 by x-5 and show work.. I know its x+8 but don't know how to get the answer
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You can show this by factoring the numerator to get %28x-5%29%28x%2B8%29 and then cancelling the "x-5" terms

So...

%28x%5E2%2B3x-40%29%2F%28x-5%29

%28%28x-5%29%28x%2B8%29%29%2F%28x-5%29

%28highlight%28%28x-5%29%29%28x%2B8%29%29%2F%28highlight%28%28x-5%29%29%29

%28cross%28%28x-5%29%29%28x%2B8%29%29%2F%28cross%28%28x-5%29%29%29

%281%2A%28x%2B8%29%29%2F%281%29

%281%2Ax%2B1%2A8%29%2F%281%29

%28x%2B8%29%2F%281%29

x%2B8

So %28x%5E2%2B3x-40%29%2F%28x-5%29 simplifies to x%2B8 where x%3C%3E5