SOLUTION: Help find the vertical asymptotes of the rational function R(x)=-3x^2\x^2+8x-20

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Question 242702: Help find the vertical asymptotes of the rational function
R(x)=-3x^2\x^2+8x-20
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
R%28x%29=%28-3x%5E2%29%2F%28x%5E2%2B8x-20%29
Vertical asymptotes of a rational function occur for x values which make the denominator zero, if any. So to find them we will find the solutions to:
x%5E2%2B8x-20+=+0 if any.

Since this is a quadratic equation we can either factor it or use the Quadratic Formula. It factors pretty easily:
%28x%2B10%29%28x-2%29+=+0
According to the Zero Product Property this product can be zero only if one (or more) factors is zero. So:
x + 10 = 0 or x - 2 = 0
Solving each of these we get:
x = -10 or x = 2

Therefore, the vertical asymptotes of R(x) are: x = -10 and x = 2