Applying the Remainder Theorem Practice Test

If the remainder when $p(x)=x^4+mx^2-2x+1$ is divided by $(x-2)$ is $9$, what is $m$? (Use: remainder $=p(2)$.)

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 $p(a)=0$).​