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

To find the zeros of a rational function, set the numerator to 0 and solve for x. We have:

$$x^2-64=0$$
$$(x-8)(x+8)=0$$

So the zeros are $x=-8$ and $x=8$. Note that $x=-5$ is not a zero since it makes the denominator zero, causing the function to be undefined at that point.

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 $f ( x ) = \frac { x ^ { 2 } - 64 } { x + 5 }$