# Given the rational expression (3x+14)/(x^2-6x-16) find the values of x for which it is undefined. If there are more than one value, enter them in increasing order with commas in between to separate them.

Given the rational expression $\frac{3x+14}{{x}^{2}-6x-16}$ find the values of x for which it is undefined. If there are more than one value, enter them in increasing order with commas in between to separate them.
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Krystal Dillon
Solution:
$\frac{3x+14}{{x}^{2}-6x-16}$
Th rational function is underfind when denominator equal to 0
${x}^{2}-6x-16=0$
Consider the form ${x}^{2}+bx+c$ find a
Write the factored form using these integers
$\left(x-8\right)\left(x+2\right)=0$
The entire expression will be equal to 0
$x-8=0\phantom{\rule{0ex}{0ex}}x+2=0\phantom{\rule{0ex}{0ex}}x=8\phantom{\rule{0ex}{0ex}}x=-2\phantom{\rule{0ex}{0ex}}x=-2,8$