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

math8

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?

WlfordBrimley

have you tried induction on the degree of the polynomial?

mathwonk

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

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math8	show a polynomial of degree n has at most n distint roots 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?

WlfordBrimley	have you tried induction on the degree of the polynomial?

mathwonk Recognitions: Homework Help Science Advisor	e.g. can you do it for degree one polynomials?