Determine the zeros (if any) of the rational function $f ( x ) = \frac { x ^ { 2 } - 64 } { x + 5 }$.
A) $x = - 5$
B) $x = - \frac { 8 } { 5 } , x = \frac { 8 } { 5 }$
C) $x = - 64 , x = 64$
D) $x = - 8 , x = 8$
E) no zeros

Question

Quizplus · Accepted Answer

The zeros of the function are the values of $x$ for which the numerator is zero, so we solve $x^2 - 64 = 0$. Factoring gives $(x - 8)(x + 8) = 0$, leading to $x = 8$ and $x = -8$.

Determine the Zeros (If Any) of the Rational Function f(x)=x2−64x+5f ( x ) = \frac { x ^ { 2 } - 64 } { x + 5 }f(x)=x+5x2−64​

Determine the Zeros (If Any) of the Rational Function $f ( x ) = \frac { x ^ { 2 } - 64 } { x + 5 }$