SOLUTION: If x ≠ 2, - 2, which of the following is equivalent to (x³ + 3x² - 10x) / (2x² - 8)?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: If x ≠ 2, - 2, which of the following is equivalent to (x³ + 3x² - 10x) / (2x² - 8)?      Log On


   

Question 975945: If x ≠ 2, - 2, which of the following is equivalent to (x³ + 3x² - 10x) / (2x² - 8)?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E3+%2B+3x%5E2+-+10%29+%2F%282x%5E2+-+8%29

%28x%28x%5E2+%2B+3x++-+10x%29%29+%2F+%28+2%5E%22%22%28x%5E2+-+4%29%29

%28+x%28x%2B5%29%28x-2%29+%29+%2F+%28+2%5E%22%22%28x-2%29%28x%2B2%29+%29

As long as x≠2, we can cancel the (x-2)'s



%28+x%28x%2B5%29+%29+%2F+%28+2%28x%2B2%29+%29

or

%28+x%5E2%2B5x+%29+%2F+%28+2%28x%2B2%29+%29

or

%28+x%5E2%2B5x+%29+%2F+%28+2x%2B4+%29

or

%28+x%28x%2B5%29+%29+%2F+%28+2x%2B4+%29

depending on what is left factored and what is multiplied out.

Edwin