Chapter 6, Problem 13P

Given the unity feedback system of Figure P6.3 with

$G\left(s\right)=\frac{84}{s\left(s^7+5s^6+12s^5+25s^4+45s^3+50s^2+82s+60\right)}$

tell how many poles of the closed-loop transfer function lie in the right half-plane. In the left half-plane, and on the $j\omega -\text{axis}$ . [Section: 6.3]