The transfer function of a system is 2s2 + 6s + 5(s + 1)2(s

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The transfer function of a system is
2s² + 6s + 5
(s + 1)²(s + 2)

The characteristic equation of the system is—

1. 2s² + 6s + 5 = 0
2. (s + 1)² (s + 2) = 0
3. 2s² + 6s + 5 – (s + 1)2 (s + 2) = 0
4. 2s² + 6s + 5 – (s + 1)2 (s + 2) = 0

Correct Option: B

The given T.F. is

C(s)	=	G(s)	=	2s² + 6s + 5
R(s)	=	1 + G(s) H(s)	=	(s + 1)² (s + 2)

C.E. = 1 + G(s) H(s) = (s + 1)² (s + 2)