The transfer function of a plant is $$T\left( s \right) = \frac{5}{{\left( {s + 5} \right)\left( {{s^2} + s + 1} \right)}}.$$ The second-order approximation of T(s) using dominant pole concept is
A. $$\frac{1}{{\left( {s + 5} \right)\left( {s + 1} \right)}}$$
B. $$\frac{5}{{\left( {s + 5} \right)\left( {s + 1} \right)}}$$
C. $$\frac{5}{{{s^2} + s + 1}}$$
D. $$\frac{1}{{{s^2} + s + 1}}$$
Answer: Option D

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