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A Few Elementary Properties of Polynomials Adeel Khan June 21 2006 Page i CONTENTS Contents 1 Introduction 2 Vieta s Formulas 3 Tools for Finding the Roots of a Polynomial 4 Transforming Polynomials 5 Newton s Identities 6 More Problems 7 Solutions to Problems i Page 1 INTRODUCTION First we will de ne a few important terms. A polynomial P x of degree n is generally of the form P x an xn an 1 xn 1 a1 x a0 so that the coe cient of xi is ai 0 i n* We can also write P x in terms of its roots...
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