The characteristic equation of a closed loop system is \(s(s+1)(s+3)+K(s+2)=0\); \(\mathrm{K}>0\). Which of the following statements is true?

(a) The roots are always real.

(b) The break away point can not lie in the range \(-1<\operatorname{Re}[s]<0\).

(c) Two of its roots tend to \(\infty\) along the asymptotes \(\operatorname{Re}[s]=-1\).

(d) It may have complex roots in the rhp.