Find all numbers for which the rational expression is not defined.
-$\frac { x ^ { 2 } - 25 } { x ^ { 2 } - 2 x - 35 }$
A) $x = - 5$ and $x = 7$
B) $x = 5$ and $x = - 5$
C) $x = 5$ and $x = - 7$
D) $x = 0$

Question

Quizplus · Accepted Answer

The expression is not defined when the denominator is equal to zero, since division by zero is undefined. Therefore, we need to find the values of $x$ that make $x^2-2x-35=0$. Factoring, we get $(x-7)(x+5)=0$. Therefore, the expression is undefined at $x=-5$ and $x=7$.

Find All Numbers for Which the Rational Expression Is Not x2−25x2−2x−35\frac { x ^ { 2 } - 25 } { x ^ { 2 } - 2 x - 35 }x2−2x−35x2−25​

Find All Numbers for Which the Rational Expression Is Not $\frac { x ^ { 2 } - 25 } { x ^ { 2 } - 2 x - 35 }$