5.0 - Course General Information
  • Instructor Introduction
  • Course Curriculum
  • Road Map
  • How to Best Use This course
  • Feedback
  • Legal Disclaimer
5.1 - Quadratic Functions
  • Course and Section Introduction
  • Recognizing Characteristics of Parabolas
  • Identifying the Characteristics of a Parabola - Example
  • Parabola Graphs and their formulas - Part 1
  • Parabola Graphs and their formulas - Part 2
  • Writing the Equation of a Quadratic Function From a Graph
  • Finding the Vertex of a Quadratic Function - Solution 1
  • Finding the Vertex of a Quadratic Function - Solution 2
  • Writing a Quadratic Equation in Standard and General Form - Solution 1
  • Writing a Quadratic Equation in Standard and General Form - Solution 2
  • Finding the Domain and Range of Quadratic Functions - Part 1
  • Finding the Domain and Range of Quadratic Functions - Part 2
  • Finding the Domain and Range of a Quadratic Function - Example
  • Finding the Domain and Range of a Quadratic Function - Example
  • Determining the Minimum and Maximum of a Quadratic Function
  • Finding the Maximum Value of a Quadratic Function - Example
  • Finding Maximum Revenue - Example - Part 1
  • Finding Maximum Revenue - Example - Part 2
  • Finding the x and y-intercepts of a Quadratic Function
  • How to Factorize a Quadratic Function
  • Finding the x-intercepts of a Parabola
  • Finding the x and y-intercepts of a Quadratic Function - Example
  • Applying the x-intercept and Vertex of a Parabola - Example
5.2 - Power Functions and Polynomial Functions
  • Power Functions and Polynomial Functions - Introduction
  • Identifying Power Functions
  • Identifying End Behavior of Power Functions - Part 1
  • Identifying End Behavior of Power Functions - Part 2
  • Identifying the End Behavior of a Power Function - Example
  • Identifying Polynomial Functions
  • Identifying Polynomial Functions - Example
  • Identifying the Degree and Leading Coefficient of a Polynomial Function
  • Identifying the Degree and Leading Coefficient of a Polynomial Function -Example
  • Identifying End Behavior of Polynomials - Part 1
  • Identifying End Behavior of Polynomials - Part 2
  • Identifying End Behavior and Degree of a Polynomial Function - Example
  • Identifying End Behavior and Degree of a Polynomial Function - Example
  • Identifying End Behavior and Degree of a Polynomial Function - Example
  • Identifying Local Behavior of Polynomial Functions
  • Determine the Intercepts of a Polynomial Function - Example
  • Determining the Intercepts of a Polynomial Function With Factoring - Example
  • Determining the Intercepts of a Polynomial Function - Example
  • Comparing Smooth and Continuous Graphs
  • Number of Intercepts and Turning Points - Example
  • Drawing Conclusions about a Polynomial from the Graph - Example
  • Drawing Conclusions about a Polynomial from the Factors - Example
  • Drawing Conclusions about a Polynomial from the Factors - Example
5.3 - Graphs of Polynomial Functions
  • Graphs of Polynomial Functions - Introduction
  • Characteristics of Graphs of Polynomial Functions
  • Recognizing Polynomial Functions - Example
  • Using Factoring to Find Zeros of Polynomial Functions
  • Finding the x-intercepts of a Polynomial Function by Factoring - Example
  • Finding the x-intercepts of a Polynomial Function by Factoring - Example
  • Finding the y and x-intercepts of a Polynomial in Factored Form - Example
  • Finding the x-intercepts of a Polynomial Function Using a Graph - Example
  • Finding the x-intercepts of a Polynomial Function Using a Graph - Example
  • Identifying Zeros and Their Multiplicities
  • Identifying Zeros and Their Multiplicities - Example
  • Determining the End Behavior of Polynomial Functions
  • Relationship Between Degree and Turning Points in Polynomials
  • Finding the Maximum Number of Turning Points of a Polynomial
  • Graphing Polynomial Functions
  • Sketching the Graph of a Polynomial Function - Example
  • Sketching the Graph of a Polynomial Function - Example
  • Intermediate Value Theorem
  • Using the Intermediate Value Theorem - Example
  • Using the Intermediate Value Theorem - Example
  • Writing Formulas for Polynomial Functions
  • Writing a Formula for a Polynomial Function from the Graph - Example
  • Writing a Formula for a Polynomial Function from the Graph - Example
  • Local and Global Extrema of Polynomial Functions
  • Using Local Extrema to Solve Applications - Example
5.4 - Dividing Polynomials
  • Dividing Polynomials
  • Long Division Algorithm Modeling
  • Comparing Long Division Model with a Long Division Example
  • Dividing Two Polynomials Using Long Division Algorithm
  • Division Algorithm - Formal Statement
  • Polynomial Long Division - Example
  • Polynomial Long Division - Example
  • Polynomial Long Division - Example
  • Using Synthetic Division to Divide Polynomials
  • Using Synthetic Division to Divide Polynomials - Example
  • Using Synthetic Division to Divide Polynomials - Example
  • Using Synthetic Division to Divide Polynomials - Example
  • Using Polynomial Division to Solve Application Problems
  • Using Synthetic Division to Divide Polynomials - Example
5.5 - Zeros of Polynomial Functions
  • Section 5.5 Introduction
  • Remainder Theorem
  • Remainder Theorem - Example