Chapter 6, Problem 46P

a.

To determine

The location of poles for given $G(s)$ : -

  $G(s)=\frac{1.3s^7+90.5s^6+1970s^5+15000s^4+3120s^3-41,300s^2-5000s-1840}{s^8+103s^7+1180s^6+4040s^5+2150s^4+8960s^3-10600s^2-1550s-415}$

b.

To determine

The stability behavior for the $G(s)$ : -

  $G(s)=\frac{1.3s^7+90.5s^6+1970s^5+15000s^4+3120s^3-41,300s^2-5000s-1840}{s^8+103s^7+1180s^6+4040s^5+2150s^4+8960s^3-10600s^2-1550s-415}$