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 the function, we set the numerator equal to zero and solve for $x$: $$x^2-64=0$$ $$(x-8)(x+8)=0$$ $$x=8, -8$$ Since neither of these values make the denominator equal to zero, they are the zeros of the function. Therefore, the answer is D.

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