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

  • Thread starter math8
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  • #1
math8
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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?
 

Answers and Replies

  • #2
WlfordBrimley
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have you tried induction on the degree of the polynomial?
 
  • #3
mathwonk
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e.g. can you do it for degree one polynomials?
 

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