The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by

A. $$G\left( s \right)H\left( s \right) = K\frac{{s\left( {s + 1} \right)}}{{\left( {s + 2} \right)\left( {s + 3} \right)}}$$

B. $$G\left( s \right)H\left( s \right) = K\frac{{\left( {s + 1} \right)}}{{s\left( {s + 2} \right){{\left( {s + 3} \right)}^2}}}$$

C. $$G\left( s \right)H\left( s \right) = K\frac{1}{{s\left( {s - 1} \right)\left( {s + 2} \right)\left( {s + 3} \right)}}$$

D. $$G\left( s \right)H\left( s \right) = K\frac{{\left( {s + 1} \right)}}{{s\left( {s + 2} \right)\left( {s + 3} \right)}}$$

Answer: Option B