Determine the zeros (if any)of the rational function $$f ( x ) = \frac { x ^ { 2 } - 4 } { x - 4 }$$ .
A)x = -4,x = 4
B)no zeros
C)x = -3
D) $$x = - \frac { 2 } { 3 } , x = \frac { 2 } { 3 }$$
E)x = -2,x = 2

Question

Quizplus · Accepted Answer

The zeros of the function are found by setting the numerator equal to zero and solving for $x$. The numerator is $x^2 - 4$, which factors to $(x - 2)(x + 2) = 0$. Thus, the zeros are $x = 2$ and $x = -2$.

Determine the Zeros (If Any)of the Rational Function f(x)=x2−4x−4f ( x ) = \frac { x ^ { 2 } - 4 } { x - 4 }f(x)=x−4x2−4​

Determine the Zeros (If Any)of the Rational Function $f ( x ) = \frac { x ^ { 2 } - 4 } { x - 4 }$