The world's largest telescope is located in Hawaii. The primary mirror has a diameter of 11 m and consists of a mosaic of 35 hexagonal segments with orientation of each segment actively controlled. This unity feedback system for the mirror segments has the loop transfer function:

L(S) = G(s)G(s) = K / s(s² + 5s + 21)

(a) Find the asymptotes of root locus plot and draw them in the s-plane.