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The characteristic equation of a system is 2s^5+s^4+4s^3+2s^2+2s+1=0 . Which one of the following is correct?

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The characteristic equation of a system is 2s^5+s^4+4s^3+2s^2+2s+1=0 . Which one of the following is correct?

(a) Stable

(b) Marginally stable

(c) Unstable

(d) Oscillatory

The question was posed to me during an online interview.

My question is based upon Compensation Techniques topic in section Digital Control Systems of Control Systems

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Correct option is (c) Unstable

To explain: The solution is obtained by using the Routh-Hurwitz table in which with the conventional method the number of sign changes are seen in the first row of the table and number of sign changes is equal to the number of the roots on the right half of s plane.

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