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Alternate Expression (Interpolation with Polynomials)

  1. Apr 7, 2012 #1
    Difficulty : College

    1. The problem statement, all variables and given/known data

    polyinter.jpg

    3. The attempt at a solution

    I am unsure how to approach this question. I think it involves a process where you add an expression & and subtract it (or multiply & divide) in order to manipulate the equation and rearrange it or reorder it. I've already tried expanding the (x-c)^i part, but later realized x^i - c^i does not equal (x-c)^i.

    Any help would be much appreciated

    Thanks!
     
  2. jcsd
  3. Apr 7, 2012 #2
    You might need to use an induction proof - so that you can just focus on the highest-order term.
     
  4. Apr 7, 2012 #3

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Use the binomial theorem to expand (x-c)^i.
     
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