Question: Sketch the root locus for a system with product [ mathrm{G}(s) mathrm{H}(s)=frac{mathrm{K}}{s(s+2)(s+4)(s+8)} ] and determine the location of dominant characteristic roots for damping ratio of

Sketch the root locus for a system with product

\[
\mathrm{G}(s) \mathrm{H}(s)=\frac{\mathrm{K}}{s(s+2)(s+4)(s+8)}
\]

and determine the location of dominant characteristic roots for damping ratio of 0.707.

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