'Zeros theorem' diaporamas de présentation

College Algebra Sixth Edition James Stewart ? Lothar Redlin ? Saleem Watson

College Algebra Sixth Edition James Stewart ? Lothar Redlin ? Saleem Watson. Polynomial and Rational Functions. 3. Complex Zeros and the Fundamental Theorem of Algebra. 3.6. Introduction. We have already seen that an n th-degree polynomial can have at most n real zeros.

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College Algebra Fifth Edition James Stewart ? Lothar Redlin ? Saleem Watson

College Algebra Fifth Edition James Stewart ? Lothar Redlin ? Saleem Watson. Polynomial and Rational Functions. 4. Complex Zeros and the Fundamental Theorem of Algebra. 4.5. Introduction. We have already seen that an n th-degree polynomial can have at most n real zeros.

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COLLEGE ALGEBRA

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Chapter 3: Polynomial Functions

Chapter 3: Polynomial Functions. 3.1 Complex Numbers 3.2 Quadratic Functions and Graphs 3.3 Quadratic Equations and Inequalities 3.4 Further Applications of Quadratic Functions and Models 3.5 Higher-Degree Polynomial Functions and Graphs

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Chapter 3: Polynomial Functions

Chapter 3: Polynomial Functions. 3.1 Complex Numbers 3.2 Quadratic Functions and Graphs 3.3 Quadratic Equations and Inequalities 3.4 Further Applications of Quadratic Functions and Models 3.5 Higher-Degree Polynomial Functions and Graphs

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Do Now

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Every polynomial P(x) of degree n>0 has at least one zero in the complex number system.

N Zeros Theorem. Every polynomial P(x) of degree n>0 can be expressed as the product of n linear factors. Hence, P(x) has exactly n zeros, not necessarily distinct. The Fundamental Theorem of Algebra. Every polynomial P(x) of degree n>0 has at least one zero in the complex number system.

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