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