Any linear time-invariant continuous or discrete system can be represented either in the terms of characteristic algebraic polynomial or in the form of open-loop transfer function. The open-loop transfer function will consists of numerator polynomial and denominator polynomial. To understand the transient characteristics of the system, the denominator polynomial is analysed for its roots. Any nth order polynomial will have n/2 quadratics if n is even, there will be (n-1)/2 quadratics if n is odd. Various procedures are available for extracting quadratics, each having its own merits and limitations. In this paper, a simple-novel scheme is proposed for extracting quadratics for even order polynomial. This scheme is found to be simple in application and illustrated with examples.
