Question 21.37: Find the poles of s-2/(s²+2s+5)(s+1)....

Engineering Mathematics A Foundation for Electronic, Electrical, Communications and Systems Engineers [1040294]

Find the poles of $\frac{s-2}{\left(s^2+2 s+5\right)(s+1)}$ .

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The denominator is factorized into linear factors:

\left(s^2+2 s+5\right)(s+1)=\left(s-p_1\right)\left(s-p_2\right)\left(s-p_3\right)

when $p_1=-1+2 \mathrm{j}, p_2=-1-2 \mathrm{j}, p_3=-1 \text {. The poles are }-1+2 \mathrm{j},-1-2 \mathrm{j},-1$ .

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