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Date: 2007-10-25 15:49:08

PROBLEM-SOLVING MASTERCLASS WEEK 4 1. Let p(z) be a polynomial of degree n, all of whose zeros have absolute value 1 in the complex plane. Put g(z) = p(z)/zn/2 . Show that all zeros of g 0 (z) = 0 have absolute value 1.

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