Consider the open loop transfer function of \$\frac K{s^3+2s^2+2s}\$.
In a negative feedback system, that has three poles \$0, -1+i ,-1-i\$.
Is there any break-in or break-away point because only one real pole is here? If we solve the derivative of denominator then we get \$s=-0.67\pm 0.47\$ but the points do not lie on real axis.
Please ensure if my approach is correct or not.