Find all numbers for which the rational expression is not defined.
-$\frac { x ^ { 2 } - 16 } { x ^ { 2 } - 3 x - 10 }$
A) $x = 0$
B) $x = 5$ and $x = - 2$
C) $x = - 5$ and $x = 2$
D) $x = 4$ and $x = - 4$

Question

Quizplus · Accepted Answer

The rational expression is undefined when the denominator is equal to zero. Factoring the denominator $x^2 - 3x - 10$ gives $(x - 5)(x + 2) = 0$, so the expression is undefined for $x = 5$ and $x = -2$.

Find All Numbers for Which the Rational Expression Is Not x2−16x2−3x−10\frac { x ^ { 2 } - 16 } { x ^ { 2 } - 3 x - 10 }x2−3x−10x2−16​

Find All Numbers for Which the Rational Expression Is Not $\frac { x ^ { 2 } - 16 } { x ^ { 2 } - 3 x - 10 }$