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Mathematics GATE 2018 EE: 34

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The number of roots of the polynomial, $s^{7} + s^{6} + 7s^{5} + 14s^{4} + 31s^{3} + 7s^{2}+ 25s + 200$, in the open left half of the complex plane is

  1. $3$
  2. $4$
  3. $5$
  4. $6$
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