SOLUTION: Simplify. If possible work must me shown. (2x^2-21x+40)/(4x^2-4x-15)

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Simplify. If possible work must me shown. (2x^2-21x+40)/(4x^2-4x-15)      Log On


   



Question 1113270: Simplify. If possible work must me shown.
(2x^2-21x+40)/(4x^2-4x-15)

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%5E2-21x%2B40%29%2F%284x%5E2-4x-15%29

Factor numerator and denominator:

%28%282x-5%29%28x-8%29%29%2F%28%282x%2B3%29%282x-5%29%29

As long as 2x-5 does not equal 0
which means x is not 5/2 or 2.5,
then the above equals to

%28%28cross%282x-5%29%29%28x-8%29%29%2F%28%282x%2B3%29%28cross%282x-5%29%29%29

or

matrix%281%2C3%2C%0D%0A%0D%0A%28x-8%29%2F%282x%2B3%29%2C%22%2C%22%2Cx%3C%3E5%2F2%29%29

Edwin