GATE 2016 EC – Question 57
The transfer function of a linear time invariant system is given by
$$H(s) = 2s^4 - 5s^3 + 5s - 2$$
The number of zeros in the right half of the s-plane is ________
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Correct answer: 3
Explanation
The polynomial factors as $2s^4 - 5s^3 + 5s - 2 = (s^2 - 1)(2s^2 - 5s + 2) = (s - 1)(s + 1)(2s - 1)(s - 2)$. Its roots are $1$, $-1$, $\frac{1}{2}$ and $2$. Three of them, $1$, $\frac{1}{2}$ and $2$, are in the right half plane.