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Show a polynomial of degree n has at most n distint roots

  1. May 18, 2008 #1
    If F is a field, how do we prove that a non-zero polynomial with coefficients in F and of degree n has at most n distinct roots in F?
  2. jcsd
  3. May 18, 2008 #2
    have you tried induction on the degree of the polynomial?
  4. May 18, 2008 #3


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    e.g. can you do it for degree one polynomials?
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