Determine a formula for a polynomial f of degree 8 whose zeros are x = −8 (multiplicity 1), x = −2 (multiplicity 3), x = 1 (multiplicity 2), and x = 3 (multiplicity 2) such that f satisfies f(0) = −4.

Determine a formula for a polynomial f of degree 8 whose zeros are x = −8 (multiplicity 1), x = −2 (multiplicity 3), x = 1 (multiplicity 2), and x = 3 (multiplicity 2) such that f satisfies f(0) = −4.

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 3E: A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is...

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Question

Determine a formula for a polynomial f of degree 8 whose zeros are x = −8 (multiplicity 1), x = −2 (multiplicity 3), x = 1 (multiplicity 2), and x = 3 (multiplicity 2) such that f satisfies f(0) = −4.

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