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Roots with Multiplicity?

  1. Jun 29, 2004 #1
    I'm reading a chapter on recurrence relations and they have a problem with the phrase: ...if r is a root with multiplicity 2. What does it mean for a root to have multiplicity? This is the first time I've heard of this and the book assumes I would know what they mean already.
     
  2. jcsd
  3. Jun 29, 2004 #2

    Hurkyl

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    If f(x) is a polynomial, and a is a root of f, then (x - a) is a factor of f(x).

    If (x - a) is a repeated factor, that is (x - a)^k is a factor of f(x), then a is a root with multiplicity k.
     
  4. Jun 29, 2004 #3
    I'd figured it be something like that. Thanks for clearing that up.
     
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