Applying the Remainder Theorem Practice Test

Is $(x+2)$ a factor of $p(x)=x^3+3x^2-4x-12$? Use the Remainder Theorem/Factor Theorem (i.e., $(x-a)$ is a factor iff $p(a)=0$).

Verify the claim using the Remainder Theorem: When dividing $p(x)=x^4-3x^2+2x+1$ by $(x-1)$, the remainder is $1$.