The system represented by the transfer function \(G(s)=\frac{s^{2}+10 s+24}{s^{4}+6 s^{3}-39 s^{2}+18 s+84}\) has
(a) 2 poles in the right half \(s\)-plane
(b) 4 poles in the left half s-plane
(c) 3 poles in the right half s-plane
(d) 3 poles in the left half \(s\)-plane.