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ISI2017-MMA-23

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What is the smallest degree of a polynomial with real coefficients and having root $2\omega , 2 + 3\omega , 2\omega^{2} , -1 -3\omega$ and $2-\omega - \omega^{2}?$ [Here $\omega\neq$1 is a cube root of unity.]

  1. $5$
  2. $7$
  3. $9$
  4. $10$
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