Find any numbers for which the rational expression is undefined.
-$\frac { x ^ { 2 } - 100 } { x ^ { 2 } + 12 x + 27 }$
A)x = 10, x = -10
B)x = 3, x = -9
C)x = -3, x = -9
D)x = 0

Question

Quizplus · Accepted Answer

The expression is undefined when the denominator equals zero. Factoring the denominator gives $x^2 + 12x + 27 = (x + 3)(x + 9)$. Setting each factor equal to zero gives the solutions $x = -3$ and $x = -9$.

Find Any Numbers for Which the Rational Expression Is Undefined x2−100x2+12x+27\frac { x ^ { 2 } - 100 } { x ^ { 2 } + 12 x + 27 }x2+12x+27x2−100​

Find Any Numbers for Which the Rational Expression Is Undefined $\frac { x ^ { 2 } - 100 } { x ^ { 2 } + 12 x + 27 }$