Let c1xn + c2xn1 ++ cnx+cn+1 be a polynomial with a root

Chapter , Problem 3.21

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Let c1xn + c2xn1 ++ cnx+cn+1 be a polynomial with a root at x = x0. Let cmax be the largest absolute value of a ci. Show that|x0| < (n + 1)cmax |c1|.

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