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Ch 23: CEOE Advanced Math: Higher-Degree Polynomial Functions

About This Chapter

With these lessons you will study the processes of completing operations and transformations of polynomials as part of your review for the CEOE Advanced Math exam. We offer a variety of study aids to help you prep for test day.

CEOE Advanced Math: Higher-Degree Polynomial Functions - Chapter Summary

These lessons feature our expert instructors who will help you prepare for questions on the Certification Examinations for Oklahoma Educators (CEOE) Advanced Mathematics exam that may require you to solve problems with higher-degree polynomials. Follow along with our instructors to improve your skills:

  • Adding, subtracting, multiplying and dividing polynomials
  • Performing transformations of polynomial graphs
  • Completing operations with polynomials in several variables
  • Using the quadratic form to factor polynomials
  • Understanding and using the remainder theorem and factor theorem
  • Using the rational zeros theorem and synthetic division to find rational zeros

These lessons are mobile device-compatible so that you don't have to limit your studies to your time at your computer. Following each lesson, read its transcript to fortify your retention of the information presented in it. Then take the lesson's quiz to discover topics you don't understand, and use the video tags to return to and study the parts of the lessons that explain these topics.

CEOE Advanced Math: Higher-Degree Polynomial Functions Objectives

One of the exams used to measure the competency of math teacher candidates in the state of Oklahoma is the CEOE Advanced Math exam. When you take this computer-based exam, you will be asked to complete a series of 80 multiple-choice questions and one constructed-response question in a four-hour testing session. About 12% of the exam consists of multiple-choice questions about relations, functions and algebra and another 15% is covered by the constructed-response question, which is also about relations, functions and algebra. This chapter will aid you in your review for these questions by improving your skills in solving problems with higher-degree polynomials.

10 Lessons in Chapter 23: CEOE Advanced Math: Higher-Degree Polynomial Functions
Test your knowledge with a 30-question chapter practice test
How to Add, Subtract and Multiply Polynomials

1. How to Add, Subtract and Multiply Polynomials

Adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about, but this video will show you that's no problem, so no worries! This method has worked for many of my students, and I think it will work for you, too!

Basic Transformations of Polynomial Graphs

2. Basic Transformations of Polynomial Graphs

The basic transformations for a graph are movement up and down, left and right, pinched or stretched graphs, and flipped graphs. This lesson will review how to accomplish each of these transformations.

How to Divide Polynomials with Long Division

3. How to Divide Polynomials with Long Division

Arithmetic long division and polynomial long division are very similar. Yes, it's a long process, but once you have the rhythm you will get every problem correct!

How to Use Synthetic Division to Divide Polynomials

4. How to Use Synthetic Division to Divide Polynomials

Synthetic division is a 'short-cut' way of dividing a polynomial by a monomial. You still need to know long division, sorry, but this method is way fun when you're dividing by a monomial!

Dividing Polynomials with Long and Synthetic Division: Practice Problems

5. Dividing Polynomials with Long and Synthetic Division: Practice Problems

Let's look at some more polynomial division problems. We will use long division and synthetic division, but this time we will have a couple of more involved problems. So, get out some paper and a pencil and let's begin!

Operations with Polynomials in Several Variables

6. Operations with Polynomials in Several Variables

In this video lesson, you will learn how to handle and work with polynomials that have more than one variable. This is important because in math you sometimes have to work with several variables at the same time.

Solving Higher Degree Polynomials

7. Solving Higher Degree Polynomials

After watching this video lesson, you will be able to solve polynomials where the degree is three or higher. Learn the technique that you can use to solve any one of these polynomials.

Factoring Polynomials Using Quadratic Form: Steps, Rules & Examples

8. Factoring Polynomials Using Quadratic Form: Steps, Rules & Examples

Factoring a polynomial of degree 4 or higher can be a difficult task. However, some polynomials of higher degree can be written in quadratic form, and the techniques used to factor quadratic functions can be utilized.

Remainder Theorem & Factor Theorem: Definition & Examples

9. Remainder Theorem & Factor Theorem: Definition & Examples

In this lesson, you will learn about the remainder theorem and the factor theorem. You will also learn how to use these theorems to find remainders and factors of polynomials.

Finding Rational Zeros Using the Rational Zeros Theorem & Synthetic Division

10. Finding Rational Zeros Using the Rational Zeros Theorem & Synthetic Division

After completing this lesson, you will know what the rational zeros theorem says. You will also know how to apply this theorem to find zeros of polynomial functions.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the OSAT Advanced Mathematics (CEOE) (111): Practice & Study Guide course

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