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GATE ECE 2013 | Question: 20

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A polynomial $f(x) = a_{4}x^{4} + a_{3}x^{3} + a_{2}x^{2} + a_{1}x - a_{0}$ with all coefficients positive has

  1. no real roots
  2. no negative real root
  3. odd number of real roots 
  4. at least one positive and one negative real root 

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