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## Main Question or Discussion Point

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?

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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?

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have you tried induction on the degree of the polynomial?

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mathwonk

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

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