4. Polynomial and Rational Functions

Identify Zeros and Their Multiplicities

Polynomial Functions and Their Graphs

Finding zeros and their multiplicities of a polynomial in factored form

Identify polynomial extrema

Use Factoring to Find Zeros of Polynomial Functions

Determine when a polynomial function changes sign

Finding all the Zeros of a Polynomial - Example 2

 Definition of a Polynomial Function

Intermediate value theorem to prove a root in an interval (KristaKingMath)

Finding Maximum Number of Turning Points

Polynomial... or NOT?! Recognizing Polynomials, the degree and some Terminology

How to use the Intermediate Value Theorem

Characteristics of Polynomial Functions - with graph

How to Find all Zeros of Polynomial

Local and Absolute Maximum and Minimum from a Graph

Determine the end behavior of a polynomial function

Intermediate Value Theorem

 End Behavior of a Polynomial Function

Determine end behavior of polynomials by exploring patterns

Definition of Multiplicity of Zeros in Polynomial Functions

Finding Critical Numbers 

Determining the Zeros (and Their Multiplicity) of a Polynomial Graphically

 Identifying Polynomials

Relative Extrema In Polynomial Functions

Characteristics of Polynomial Functions

Determine polynomial end behavior

 What Is a Polynomial?

Graphing Higher-Degree Polynomials: The Leading Coefficient Test and Finding Zeros

 Even and Odd Symmetries

 Degrees and Leading Coefficients in Polynomials

Graph a polynomial by finding the x-intercepts

Intermediate Value Theorem Examples

❖ Finding all the Zeros of a Polynomial - Example 3 ❖

Factor Polynomial Given a Complex / Imaginary Root

Finding all the Zeros of a Polynomial - Example 1

Attributes of Polynomial Functions

Sketch the graph of a higher degree polynomial

Graph polynomials by finding the zeros through factoring

Find Key Information about a Given Polynomial Function

Learn the toughest concepts covered in Algebra with step-by-step video tutorials and practice problems by world-class tutors

College Algebra

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Laurie Hailer

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Professor Dave Explains

Ann Cary

Derek Owens

Let's Tute

LeeAnn Christensen

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AlRichards314

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Mr. G

Krista King

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1. Fundamental Concepts of Algebra

2. Equations and Inequalities

3. Functions and Graphs

5. Exponential and Logarithmic Functions

6. Systems of Equations and Inequalities

7. Matrices and Determinants

8. Conic Sections

9. Sequences, Induction, and Probability

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Use Long Division to Divide Polynomials

Use Synthetic Division to Divide Polynomials

Evaluate a Polynomial Using the Remainder Theorem

Use the Factor Theorem to Solve a Polynomial Equation

Dividing Polynomials

Identify Polynomial Functions

Recognize Characteristics of Graphs of Polynomial Functions

Determine End Behavior

Use the Intermediate Value Theorem

Understand the Relationship Between Degree and Turning Points

Graph Polynomial Functions

Solve Polynomial Inequalities

Solve Rational Inequalities

 Problems Modeled by Polynomial or Rational Inequalities

Polynomial and Rational Inequalities

Find the Domains of Rational Functions

Use Arrow Notation

Identify Vertical Asymptotes

Identify Horizontal Asymptotes

Use Transformations to Graph Rational Functions

Graph Rational Functions

Identify Slant Asymptotes

Solve Applied Problems Involving Rational Functions

Rational Functions and Their Graphs

Recognize Characteristics of Parabolas

Graph Parabolas

Determine a Quadratic Function's Minimum or Maximum

Problems Involving a Quadratic Function's Minimum or Maximum

Quadratic Functions

Solve Direct Variation Problems

Solve Inverse Variation Problems

Solve Combined Variation Problems

Solve Problems Involving Joint Variation

Modeling Using Variation

Use Rational Zero Theorem to Find Possible Rational Zeros

Find Zeros of a Polynomial Function

Solve Polynomial Equations

Use the Linear Factorization Theorem to Find Polynomials With Given Zeros

Use Descartes's Rule of Signs

Zeros of Polynomial Functions

General Chemistry

Jules

Study the key concepts of Physics with descriptive videos, questions, and more

Physics

Patrick

General Biology

Jason

Financial Accounting

Brian

Dive deep into Psychology with videos, practice problems, and more.

Psychology

Microeconomics

The first in a two-course sequence introduces the basic structure and functions of the human body

Anatomy & Physiology

College Algebra covers algebraic topics and skills necessary to succeed in college-level math

Organic Chemistry

Johnny

Genetics

Kylia

GOB Chemistry

Microbiology

Cell Biology

Analytical Chemistry

Study topics incliding trogonometric functions, identities and equations, solutions of triangles, complex numbers, and other topics as time permits

Trigonometry

Learn the toughest concepts covered in Precalculus with step-by-step video tutorials and practice problems by world-class tutors

Precalculus

Biochemistry

Macroeconomics

Chemistry

Biology

Math

Business

Social Sciences

Michelle Barry Franco

Building Great Presentations

Eric Zackrison, PhD

Critical Thinking And Problem Solving

Sam Bennett

Embracing Times Of Uncertainty

Nicole Tetreault, PhD

Emotional Intelligence Basics

Eugene Choi, PharmD

Enhancing Your Critical Thinking Skills

Jason Richardson, PsyD

Habits To Win Every Day

Alyssa Lowery, PhD

Having Powerful Advanced Conversations

Don Gilman, EdD

How To Influence & Persuade

Amy Matthews

Leadership Skills For Rising Stars

Listening To Lead

Michael Shermer, PhD

Making Decisions Under Uncertainty

Lynne Hurdle

Mistakes To Avoid When Resolving Conflict

Michael Veltri

Overcoming Decision Making Traps

Mike Vardy

Prioritizing Effectively

Secrets Of Effective Prioritization

Strategies To Build Up Your Creativity

Tools For Decision Making

Tutti Taygerly

Unleash And Advance Your Creativity

Winning Collaboration: How To Work More Effectively With Different Personalities