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Intermediate Value Theorem for Polynomials

  1. Apr 9, 2007 #1
    Prove: if P is a polynomial function and P(a) and P(b) have opposite signs, then there exists at least one value c between a and b for which P(c) = 0
     
  2. jcsd
  3. Apr 9, 2007 #2

    matt grime

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    You have the IVT, so what's the problem?
     
  4. Apr 9, 2007 #3
    I need to prove the IVT. Our professor told us there is such proof but it's not an easy one.
     
  5. Apr 9, 2007 #4

    matt grime

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    If you insert some words like;

    proof of the intermediate value theorem

    into google you get lots of proofs. All you need to do is justify that polynomials are continuous, and that is easy. Also this has nothing to do with number theory. It is analysis/calculus.
     
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