5.0 - Course General Information
• Instructor Introduction
• Course Curriculum
• How to Best Use This course
• Feedback
• Legal Disclaimer
• 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