'Linear factors' presentation slideshows

1.21k views • 88 slides

Higher Unit 2

Higher Unit 2. What is a polynomials. Evaluating / Nested / Synthetic Method . Factor Theorem. Factorising higher Orders. Factors of the form (ax + b). Finding Missing Coefficients. Finding Polynomials from its zeros. Credit Quadratic Theory. Completing the square. Discriminant.

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Chapter 3

Chapter 3. Polynomial and Rational Functions. 3.1 Polynomial Functions and Their Graphs. A polynomial function P is given by where the coefficients are real numbers and the exponents are whole numbers. The leading term is , the leading coefficient is . Behavior of Graphs of Functions.

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Warm-Up: January 9, 2012

Warm-Up: January 9, 2012. Homework Questions?. Zeros of Polynomial Functions. Section 2.5. Rational Zero Theorem. If f(x) is a polynomial with integer coefficients, then every possible rational zero is given by:. Factors of the constant term . Possible rational zeros = .

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Hawkes Learning Systems: College Algebra

Hawkes Learning Systems: College Algebra. Section 5.1: Introduction to Polynomial Equations and Graphs. Objectives. Zeros of polynomials and solutions of polynomial equations. Graphing factored polynomials. Solving polynomial inequalities. Zeros of a Polynomial.

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Decomposition of Fractions

Decomposition of Fractions. Integration in calculus is how we find the area between a curve and the x axis.

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Solving for the Discontinuities of Rational Equations

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Partial Fractions

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Warm-up

Warm-up. Answers. Precalculus Lesson. 2.5. Check: Worksheet Complex Numbers Side 37 all Side 38 (x4). 2.5. Objective: Find all real and complex zeros of a polynomial function. Quiz Wednesday 2.4-2.5. Lesson. Powerpoint 2.5 Fundamental Theorem of Algebra

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Chapter 2: Polynomial, Power, and Rational Functions

Section 2-5: Complex Zeros and the Fundamental Theorem of Algebra. Chapter 2: Polynomial, Power, and Rational Functions. Objectives. You will learn about: Two major theorems Complex conjugate zeros Factoring with real coefficients Why?

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Unit 6

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Do Now

Do Now. Solve: . Answers to Homework. Answers to Homework. Answers to Homework. Answers to Homework. Answers to Homework. Unit 5: Polynomials. Day 12 : Solving Polynomials. Homework. Need Help? Textbook: Section 6.4: Solving Polynomial Equations Homework: Solving Worksheet.

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Do Now

Do Now. Factor. Answers to Homework. :quintic binomial : quintic polynomial of 6 terms : linear binomial : cubic polynomial of 4 terms : quintic polynomial of 4 terms : quintic polynomial of 4 terms

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Polynomials, Linear Factors, Zeros

Polynomials, Linear Factors, Zeros. 1. Definitions. 2. Relative Minimum/Maximum. 3. Factors & Zeros. Definitions. Factor Each term in the completely factored form of a polynomial Can have r epeated factors Zeros Values found when each factor is set equal to zero and solved

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Do Now

Do Now. Factor: Solve:. Unit 5: Polynomials. Day 10 : Solving Polynomials. Homework. Need Help? Textbook: Section 6.4: Solving Polynomial Equations Homework: Solving Worksheet. Objective. To solve polynomial equations using any method. Factoring v. Solving.

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Decomposition of Fractions

Decomposition of Fractions. Integration in calculus is how we find the area between a curve and the x axis.

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Precalculus

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3.5 Complex Zeros & the Fundamental Theorem of Algebra

3.5 Complex Zeros & the Fundamental Theorem of Algebra. Fundamental Theorem of Algebra. An nth degree polynomial has exactly n zeros in the complex number system. . Find all the zeros and factor completely. P(x) = x 3 + x 2 + 81x + 81. Find all the zeros and factor completely.

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ZEROS

Given a zero of the polynomial, determine all other zeros and write the polynomial as the product of linear factors. Given a zero of the polynomial, determine all other zeros and write the polynomial as the product of linear factors.

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Partial Fractions 7.4

Partial Fractions 7.4. JMerrill , 2010. Decomposing Rational Expressions. We will need to work through these by hand in class. . Guidelines.

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