Control Systems
For a transfer function H (s) = P(s) / Q(s), where P (s) and Q (s) are polynomials in s. Then

 the degree of P (s) is always greater than the degree of Q (s).
  degree of P (s) is independent of degree of Q (s).
 maximum degree of P (s) and Q (s) differ at most by one.
 the degree of P (s) and Q (s) are same.

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Control Systems
When deriving the transfer function of linear element

 initial conditions are assumed to be zero and the element is assumed to be not loaded.
 both initial conditions and loading are taken into account.
 initial conditions are assumed to be zero but loading is taken into account.
 initial conditions are taken into account but the element is assumed to be not loaded.

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