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Max/Min of Polynomial Functions

  1. Apr 10, 2008 #1
    1. The problem statement, all variables and given/known data
    Does anyone know a possible equation or way to solve for the Max and Min of a Polynomial Function without Calculus or the Derivative test??


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 10, 2008 #2

    Dick

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    I do if it's a quadratic. Complete the square. You can do similar tricks with some other special polynomials. Otherwise it's using derivatives.
     
  4. Apr 10, 2008 #3
    What if you are given the zeroes and the multiplicity of the zeroes???
     
  5. Apr 10, 2008 #4

    Dick

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    It will tell you that the maxs and mins that aren't at zero are between the zeros, but it won't tell you much more about them. If you have, for example, a double zero at a, (x-a)^2 is a factor of the polynomial and you can say x=a is a max or a min depending on the sign of the rest of the terms, that is true.
     
    Last edited: Apr 10, 2008
  6. Apr 10, 2008 #5
    ooo alright thanks a lot!
     
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