Answer
$-8$ and $3$
Work Step by Step
The given function is
$\Rightarrow g(x)=x^2+5x-24$
Substitute $0$ for $g(x)$.
$\Rightarrow 0=x^2+5x-24$
Factor the trinomial.
$\Rightarrow 0=(x+8)(x-3)$
Use zero product property.
$\Rightarrow x+8=0$ or $x-3=0$
Solve for $x$.
$\Rightarrow x=-8$ or $x=3$
Hence, the zeros of the function are $-8$ and $3$.
