1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    mathwonk

    User Avatar
    Science Advisor
    Homework Helper

    e.g. can you do it for degree one polynomials?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?