Question: Let c 1 x n + c 2 x n1 + + c n x+c n+1 be a polynomial with a root at x

Let c1xn + c2xn−1 +· · ·+ cnx+cn+1 be a polynomial with a root at x = x0. Let cmax be the largest absolute value of a ci. Show that

 Cmax |xo| < (n + 1)

Cmax |xo| < (n + 1)

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