Automatic Controls Hw help please

Problem $3$

For the control system represented in the block diagram below, consider the root locus of the closed$-$loop transfer function poles as the gain $K$ is varied from $K=0$ to $K.$ Sketch the root locus and determine the following properties: segments of the real axis in the root locus; number of asymptotes; angle of the asymptotes; centroid of the asymptotes. Indicate, with arrowheads, the direction of increasing gain.

a$)G(s)=4\frac{(s+1+j)(s+1-j)}{s(s+3)(s+2)}$

$D_a=\frac{(2k+1)180}{\text{\#}\text{F}\text{i}\text{n}\text{a}\text{t}\text{P}\text{u}\text{l}\text{e}\text{s}-\frac{?}{?}\text{\#}\text{F}\text{i}\text{n}\text{i}\text{s}\text{t}\text{e}\text{Z}\text{e}\text{r}\text{e}\text{s}}$

b$)G(s)=\frac{(s+1)(s+3)}{s(s+2)(s+3+3j)(s+3-3j)}$

c$)G(s)=2\frac{(s+3)}{s(s+1)(s+2)(s+4)(s+5)}$

${}_a=\frac{{\displaystyle \underset{?}{\overset{?}{}}}\text{F}\text{i}\text{n}\text{i}\text{t}\text{e}\text{P}\text{i}\text{l}\text{e}\text{s}-{\displaystyle \underset{?}{\overset{?}{}}}\text{F}\text{i}\text{n}\text{i}\text{t}\text{e}\text{Z}\text{e}\text{r}\text{o}\text{s}}{\text{\#}\text{F}\text{i}\text{n}\text{i}\text{t}\text{e}\text{B}\text{r}\text{e}\text{s}-\text{\#}\text{F}\text{i}\text{n}\text{i}\text{t}\text{e}\text{z}\text{e}\text{r}\text{o}\text{s}}$

d$)G(s)=3\frac{(s+2+3j)(s+2-3j)}{s(s+1)(s+2)(s+3+3j)(s+3-3j)}$