Answer
Zeros: $5,-5$
$x$-intercepts: $5,-5$
Work Step by Step
To find the zeros of a function $g$, solve the equation $g(x)=0$
The zeros of the function are also the $x-$intercepts.
$$x^2-25=0$$
Solve the equation by factoring:
$$x^2=25$$
$$(x-5)(x+5)=0$$
$$x = \pm 5$$
Use the Zero-Product Property by equating each factor to zero, then solve each equation to obtain:
\begin{align*}
x-5&=0 &\text{or}& &x+5=0\\
x&=5 &\text{or}& &x=-5
\end{align*}
