Use MATLAB to find the inverse transform and plot the poles and zeros of the following function: [ F(s)=frac{500left(s^{3}+2 s^{2}+s+2 ight)}{sleft(s^{3}+4 s^{2}+4 s+16 ight)} ]

Use MATLAB to find the inverse transform and plot the poles and zeros of the following function:

\[
F(s)=\frac{500\left(s^{3}+2 s^{2}+s+2\right)}{s\left(s^{3}+4 s^{2}+4 s+16\right)}
\]