In the unity$-$feedback system of Eigure P$63,$ let

$G(s)=\frac{s^{10}}{s(s^6+2s^5-3s^4-10s^3-s^2-2s+3)}$

Find out how many poles of the closed$-$loop system will be in the left half$-$plane, right half$-$plane, and on the $j-$axis. $[$Section: $63]$