For each of the following, if it is true prove it and if it is not true give a specific example for which the statement is false.(b) If rr is a zero of polynomial P(x)P(x), then r2r2 is a zero of polynomial P(x2)P(x2). For each of the following, if it is true prove it and if it is not true give a specific examplefor which the statement is false.(b) If r is a zero of polynomial P(x), then ² is a zero of polynomial P(x²).

Statement is true and counter example follows

Answered: If r is a zero of polynomial P(x), then…

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If r is a zero of polynomial P(x), then ² is a zero of polynomial P(x²).

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra

Problem 4E

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Question

For each of the following, if it is true prove it and if it is not true give a specific example for which the statement is false.

(b) If rr is a zero of polynomial P(x)P(x), then r2r2 is a zero of polynomial P(x2)P(x2).

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