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State the necessary and sufficient conditions of Routh’s criterion. (around 70 words)

State the necessary and sufficient conditions of Routh’s criterion. (around 70 words)

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Necessary Condition for Routh's Criterion

1. The coefficients of all the polynomials of the equation should be of a similar sign.

2. Also, all the coefficients must be present, this means that any of the power of ‘s’ from ‘n’ to 0 must not be absent.

Sufficient Condition for Routh's Criterion

The sufficient condition is that all the elements of the first column of the Routh array should have the same sign. This means that all the elements of the first column of the Routh array should be either positive or negative.

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