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TIFR ECE 2013 | Question: 19

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Which of the following is true for polynomials defined over real numbers $\mathbb{R}$.

  1. Every odd degree polynomial has a real root.
  2. Every odd degree polynomial has at least one complex root.
  3. Every even degree polynomial has at least one complex root.
  4. Every even degree polynomial has a real root.
  5. None of the above

     

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