3. Polynomial and Rational Functions

Use Synthetic Division to Divide Polynomials

Dividing Polynomials, Remainder and Factor Theorems

How to do Synthetic Division

The Remainder Theorem - Example 1

Comprehensive Graph of a Polynomial Function

❖ Long Division of Polynomials ❖

Divide a polynomial by a binomial using long division

Using the remainder theorem to evaluate a polynomial

Divide polynomials with a missing term

❖ Synthetic Division - A Shortcut for Long Division! ❖

Solving Higher Degree Polynomials by Synthetic Division and the Rational Roots Test

Apply the Remainder Theorem to simple division problems

Using the Remainder Theorem to Evaluate a Polynomial Video

Find solutions to polynomial equations where the polynomial's remainder is zero

The Remainder Theorem - Example 2

Synthetic Division

Relate factors and zeros using the Factor Theorem

Divide polynomials using long division

Find the roots of a polynomial using a graphing calculator

Long Division of Polynomials - A slightly harder example

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

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1. Fundamental Concepts of Algebra

2. Functions and Graphs

4. Exponential and Logarithmic Functions

5. Trigonometric Functions

6. Analytic Trigonometry

7. Additional Topics in Trigonometry

8. Systems of Equations and Inequalities

9. Matrices and Determinants

10. Conic Sections and Analytic Geometry

11. Sequences, Induction, and Probability

12. Introduction to Calculus

Identify Polynomial Functions

Recognize Characteristics of Graphs of Polynomial Functions

Determine End Behavior

Use Factoring to Find Zeros of Polynomial Functions

Identify Zeros and Their Multiplicities

Use the Intermediate Value Theorem

Understand the Relationship Between Degree and Turning Points

Graph Polynomial Functions

Polynomial Functions and Their Graphs

Solve Polynomial Inequalities

Solve Rational Inequalities

 Problems Modeled by Polynomial or Rational Inequalities

Polynomial and Rational Inequalities

Add and Subtract Complex Numbers

Multiply Complex Numbers

Divide Complex Numbers

Perform Operations with Square Roots of Negative Numbers

Solve Quadratic Equations with Complex Imaginary Solutions

Complex Numbers

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

Use Long Division to Divide Polynomials

Evaluate a Polynomial Using the Remainder Theorem

Use the Factor Theorem to Solve a Polynomial Equation

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

Solve Direct Variation Problems

Solve Inverse Variation Problems

Solve Combined Variation Problems

Solve Problems Involving Joint Variation

Modeling Using Variation

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

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How To Influence & Persuade

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Mistakes To Avoid When Resolving Conflict

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Secrets Of Effective Prioritization

Strategies To Build Up Your Creativity

Tools For Decision Making

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Winning Collaboration: How To Work More Effectively With Different Personalities

Writing Emails People Want To Read

Critical Thinking

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Introduction to Python

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Agile Project and Product Management

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Data Analysis Fundamentals with Excel

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Learn Enough JavaScript to be Dangerous: A Tutorial Introduction to Programming with JavaScript