According to the Rational Root Theorem, the following are potential roots of $f(x)=2 x^2+2 x-24$:

$-4,-3,2,3,4$



Which are actual roots of $f(x)$?

A$-3 \text { and } 4$

B-4 and 3

C$-4,2 \text {, and } 3$

D$-3,2$, and 4