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Find a polynomial p(x) such that p(x) + 1 is divisible by (x – 1)4 and p(x) – 1 is divisible by (x + 1)*.

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 1E: The polynomial P(x)=5x2(x4)3(x+7) has degree ___________. It has zeros 0, 4, and ______________. The...

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Find a polynomial p(x) such that p(x) + 1 is divisible by (x – 1)ª and p(x) – 1 is divisible by
-
(x+ 1)4.

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