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Intermediate Value Theorem

  1. Feb 13, 2009 #1
    Use the Intermediate Value Theorem and synthetic division to determine whether or not the following polynomials have a real zero between the numbers given.

    P(x) = x3 - 3x2 + 2x - 5; Is there a real zero between 2 and 3?

    P(x) = x4 + 2x3 + 2x2 - 5x + 3; Is there a real zero between 0 and 1?

    P(x) = x3 - 2x2 - 5; Is there a real zero between -1 and -2?

    Find the upper and lower bounds for the following polynomials.

    P(x) = x3 - x2 + x - 2

    P(x) = x3 + 2x2 - 4
  2. jcsd
  3. Feb 13, 2009 #2


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    Science Advisor

    That looks very much like homework and I see no attempt on your part to do these problems!

    (Odd degree polynomials do NOT have upper and lower bounds on the real numbers.)
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