SOLUTION: Hello. Is {{{(3x^5-14x^3-5x^2-14)/ (x^2-4)}}} equal to {{{3x^3-2x-5+((-8x-34)/(x^2-4))}}} ? did i got it right ?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello. Is {{{(3x^5-14x^3-5x^2-14)/ (x^2-4)}}} equal to {{{3x^3-2x-5+((-8x-34)/(x^2-4))}}} ? did i got it right ?      Log On


   

Question 818808: Hello. Is %283x%5E5-14x%5E3-5x%5E2-14%29%2F+%28x%5E2-4%29 equal to 3x%5E3-2x-5%2B%28%28-8x-34%29%2F%28x%5E2-4%29%29 ?
did i got it right ?
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
A way to check would be to multiply 3x%5E3-2x-5%2B%28%28-8x-34%29%2F%28x%5E2-4%29%29 by %28x%5E2-4%29:
%283x%5E3-2x-5%2B%28%28-8x-34%29%2F%28x%5E2-4%29%29%29%28x%5E2-4%29
Using the Distributive Property:

3x%5E5%2B%28-12x%5E3%29%2B%28-2x%5E3%29%2B8x%2B%28-5x%5E2%29%2B20%2B%28-8x%29%2B%28-34%29
3x%5E5%2B%28-14x%5E4%29%2B%28-5x%5E2%29%2B%28-14%29
So, yes, you got it right.