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Hint for polynomial

  1. May 27, 2013 #1
    1. The problem statement, all variables and given/known data

    Prove the following

    For each real a, the function p given by p(x) = f(x+a) is a polynomial of degree n.

    2. Relevant equations
    Can I have a hint I have hard time starting.Thanks


    3. The attempt at a solution
     
  2. jcsd
  3. May 27, 2013 #2

    epenguin

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    Homework Helper
    Gold Member

    I think the hint would be to re-read the question and any material that is being assumed as background to it, as there has to be some condition or definition on f else it is not even true. That condition would be what you have to use.
     
  4. May 27, 2013 #3

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    For example, if f(x)= sin(x), then p(x)= sin(x+ a) is NOT a polynomial. Surely, you have misunderstood the question.
     
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