SOLUTION: {{{(6-x-x^2)/(3x^2-10x+8)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: {{{(6-x-x^2)/(3x^2-10x+8)}}}      Log On


   

Question 65401: %286-x-x%5E2%29%2F%283x%5E2-10x%2B8%29
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

     %286-x-x%5E2%29%2F%283x%5E2-10x%2B8%29

Rearrange the numerator in descending powers

     %28-x%5E2-x%2B6%29%2F%283x%5E2-10x%2B8%29

Since the leading term is negative in the numerator,
factor out -1 first:

     %28-1%28x%5E2%2Bx-6%29%29%2F%283x%5E2-10x%2B8%29

Now we factor the parentheses in the numerator 
as %28x%2B3%29%28x-2%29 and the denominator as
%283x-4%29%28x-2%29

     %28-1%28x%2B3%29%28x-2%29%29%2F%28%283x-4%29%28x-2%29%29

Next we cancel the %28x-2%29's, and
all that's left is

     %28-1%28x%2B3%29%29%2F%28%283x-4%29%29

Now you can bring the negative sign out
front and erase the 1, and have:


     -%28%28x%2B3%29%29%2F%28%283x-4%29%29

and then you can erase the parentheses,
and have

     +++-%28x%2B3%29%2F%283x-4%29+++

Edwin