Given the open loop transfer function G(s), draw the root locus plot and show calculations for the listed characteristics of the closed loop system with C(s)=K.
G(s)= (s−3)(s+4)/s(s²+s+3)
1. The root loci locations on the real axis
2. Asymptote angle
3. Break-away and break-in points
4. The value of controller gain K at the break-in/break-away points
5. The angle of departure for the poles
