# Ch 12: Calculating & Graphing Polynomials

Make use of our video lessons to guide your study of polynomial calculations and graphs. By completing the short, self-assessment quiz that goes with each lesson, you can discover any topics that might require additional review.

## Calculating & Graphing Polynomials - Chapter Summary and Learning Objectives

You can explore a wide variety of topics related to polynomials in this comprehensive collection of lessons. Learn all about evaluating, graphing and performing basic functions with polynomials, while gaining a clear understanding of Pascal's Triangle and the Binomial Theorem. Refer to the written lesson transcript anytime that you'd like and take each lesson's short quiz to mark your progress. As you near the end of these lessons, you'll find that you have a solid grasp on the following topics and concepts:

• Polynomials in function notation
• Polynomial graphs and transformations
• Adding, subtracting, multiplying and dividing polynomials
• Long and synthetic division of polynomials

Video Objective
How to Evaluate a Polynomial in Function Notation Find out how to substitute values for the variables of functions.
Understanding Basic Polynomial Graphs Discover how leading coefficients and exponents can change the behavior of graphs.
Basic Transformations of Polynomial Graphs Learn the four types of polynomial graph transformations.
How to Graph Cubics, Quartics, Quintics and Beyond Review basic graphs and find out what it means to sketch for class.
How to Add, Subtract and Multiply Polynomials Find out the simple method for performing the basic operations with a variable included.
Pascal's Triangle: Definition and Use with Polynomials Examine how Pascal's Triangle can help you expand polynomial powers.
The Binomial Theorem: Defining Expressions Learn how to expand binomial expressions with this theorem.
How to Divide Polynomials with Long Division Examine two easy steps to repeat as often as needed for dividing polynomials with long division.
How to Use Synthetic Division to Divide Polynomials When dividing by a monomial, find out how this short-cut can be a fun diversion.
Dividing Polynomials with Long and Synthetic Division Let the expert instructor help you review and then guide you through some more complicated examples.
Operations with Polynomials in Several Variables Discover the steps for working with polynomials having more than one variable.

11 Lessons in Chapter 12: Calculating & Graphing Polynomials
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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