If p(z) is a polynomial of degree n and that if α is a root of...

If p(z) is a polynomial of degree n and that if α is a root of p(z) = 0, then p(z) factors as p(z) = (z−α)q(z) where q(z) has degree (n − 1). Use this and induction to show that a polynomial of degree n has at most n roots.

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Colby Messinger answered 1 month ago

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If p(z) is a polynomial of degree n and that if α is a root of...

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