'Positive real zeros' diaporamas de présentation

PRECALCULUS I

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Chapter 4 More Nonlinear Functions and Equations

Chapter 4 More Nonlinear Functions and Equations. Book cover will go here. Real Zeros of Polynomial Functions. 4.4. Understand the factor theorem Factor higher degree polynomials Analyze polynomials having multiple zeros Solve higher degree polynomial equations

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Rational Root Theorem

Rational Root Theorem. Possible Rational Roots What are the possible rational roots of Factors of the constant term, 6 , are Factors of the lead coefficient, are Possible rational roots are . Possible Rational Roots. What are the possible rational roots of .

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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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3.4 Zeros of Polynomial Functions

3.4 Zeros of Polynomial Functions. The Fundamental Theorem of Algebra. If f(x) is a polynomial of degree n , where n>0, then f has at least one zero in the complex number system. Linear Factorization Theorem.

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3.4 Zeros of Polynomial Functions

3.4 Zeros of Polynomial Functions. The Fundamental Theorem of Algebra. If f(x) is a polynomial of degree n , where n>0, then f has at least one zero in the complex number system. Linear Factorization Theorem.

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And the zeros are x = - 3, x = -1 , and x = 2

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Zeros of Polynomial Functions

Zeros of Polynomial Functions. The Rational Zero Theorem.

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The Rational Zero Theorem

The Rational Zero Theorem.

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The Rational Zero Theorem

The Rational Zero Theorem.

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Remainder Theorem

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7.5 Roots and Zeros of a Function

7.5 Roots and Zeros of a Function. Zeros, Factors & Roots Summary:. c is a zero of f(x) x - c is a factor of f(x) c is a root/solution of f(x) = 0 If c is real, (c,0) is an x- intercept. Fundamental Theorem of Algebra.

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2.5 Real Zeros of Polynomial Functions

2.5 Real Zeros of Polynomial Functions. Descartes Rule of Signs. The number of positive real zeros of f is either equal to the number of sign changes of f(x) or is less by an even integer. The number of negative real zeros of f is either equal to the number of sign changes of

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Real Zeros of Polynomial Functions

Real Zeros of Polynomial Functions. Descartes Rule of Signs. The number of positive real zeros of f is either equal to the number of sign changes of f(x) or is less by an even integer. The number of negative real zeros of f is either equal to the number of sign changes of

184 views • 7 slides