Use synthetic division to find the expression for the area of the base of a rectangular prism with height $x+4$ and volume $x^3+2 x^2-17 x-36$.
A$x^2+6 x-24$
B$-4 x^2+8 x+36$
C$x^2-2 x-9$
D$2 x^2-9 x$
A$x^2+6 x-24$
B$-4 x^2+8 x+36$
C$x^2-2 x-9$
D$2 x^2-9 x$