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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 
in Calculus retagged by
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