SOLUTION: What values for x must be excluded in the fraction: x+2/x^-9x+14

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Question 187468: What values for x must be excluded in the fraction:
x+2/x^-9x+14
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the excluded values of x, these are the values of x that would make the denominator zero:
%28x%2B2%29%2F%28x%5E2-9x%2B14%29 I'm assuming that you forgot to type in the exponent on the first term! Factor the denominator.
%28x%2B2%29%2F%28x-2%29%28x-7%29 Now set the denominator equal to zero.
%28x-2%29%28x-7%29+=+0 Apply the zero product rule.
x-2+=+0 or x-7+=+0 which means that...
highlight%28x+=+2%29 or highlight%28x+=+7%29
These are the values of x that would make the denominator equal zero so these are the excluded values of x.