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Very strange about the zero degree polynomial

  1. Oct 12, 2010 #1
    Hi everybody

    f(x) = aX0 is the form of any constant polynomial... right??
    eg: f(x) = 3 is actually f(x) =3X0 where X belongs to R... ok??

    since 00 is an unspecified quantity.. therefore on graphing a constant.. it should exists a hole on y-axis... and the y-intercept should not satisfy the function ie: excluded from the solution set. am I right.. HELP
  2. jcsd
  3. Oct 12, 2010 #2


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    Homework Helper

    00 was for a long time considered indeterminate or for some it was simply undefined. You have given one of a few reasons why 00 is conventionally given the value of 1 rather than 0 (there was much debate in the past over these two values specifically).
  4. Oct 12, 2010 #3
    Even if 0^0 is considered undefined, polynomials are considered to be defined at 0. If you want to consider 0^0 undefined in general, then you will just have to get used to this convention. Also used for power series.
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