Assuming \( 0 \leq K<\infty \) sketch the root locus for the dynamic system in a negative unity feedback configuration as shown in Fig. 1: Figure 1 where system loop transfer function is given as follows: \[ G(s)=\frac{s^{2}+4 s+8}{s^{2}(s+1)} \] Verify your sketches with Matlab.

Given: The open loop transfer function is given by G(s)=s2+4s+8s2(s+1) Solution: Poles and Zeros The numerator polynomial has 2 zeros (m =2). Marked a

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