SOLUTION: What values of x must be excluded in the algebraic fraction: x-5/x^2-x-12 A)3,-4 B)0,5 C)0,-5 D)-3,4

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Question 1007106: What values of x must be excluded in the algebraic fraction: x-5/x^2-x-12
A)3,-4 B)0,5 C)0,-5 D)-3,4
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The fraction means x-5%2Fx%5E2-x-12 and the value for x which must be excluded is 0 only.

Not what you meant to write for your fraction expression? Write it correctly.

Were you missing the needed grouping symbols?
(x-5)/(x^2-x-12)
Very different, and will appear rendered as %28x-5%29%2F%28x%5E2-x-12%29, which has a different set of undefined values for x than the way you wrote your expression.
The expression is undefined if the denominator is 0.

Factorize the denominator and identify the values of x which make this denominator 0. That is WHAT to do.
Undefined for x at -3 and +4.