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Ch 16: OAE Mathematics: Polynomials

About This Chapter

These quick, entertaining videos provide thorough and comprehensive demonstrations of the polynomials concepts you're expected to know for the OAE Mathematics certification exam. If you have any questions about polynomials, don't hesitate to reach out to our instructors for help.

OAE Mathematics: Polynomials - Chapter Summary

This chapter presents a series of short, engaging video lessons that deconstruct and demonstrate the polynomials concepts you need to know for your OAE Math test. Lesson topics include:

  • Addition, subtraction and multiplication of polynomials
  • Several-variable polynomial operations
  • Long division and synthetic division for polynomials
  • The remainder and factor theorems
  • Using the rational zeros theorem and fundamental theorem of algebra
  • Polynomial graphs and transformations
  • The binomial theorem and defining expressions

Make sure to reach out to our instructors for help if any of the polynomials methods or ideas presented in this chapter don't make sense. Don't skip the lesson quizzes, which let you cement your understanding of polynomials by practicing the operations and techniques you've reviewed.

Objectives of the OAE Mathematics: Polynomials Chapter

The OAE Mathematics certification exam assesses your competence for teaching five areas: stats/probability and discrete math; calculus and trig; geometry and measurement; math processes and number sense; and patterns, algebra and functions. The first four areas are weighted for 19% of your score each, and the final accounts for the remaining 24% and is where yoy could find questions related to the topics in this chapter.

You'll have four and a quarter hours to work through all 150 multiple-choice questions. Get prepared for the polynomial concepts that are certain to pop up on the exam by working through this chapter, which details the concepts you need to know. Take the lesson quizzes, which are formatted after OAE tasks, to introduce yourself to the test style and practice the polynomial concepts you need.

10 Lessons in Chapter 16: OAE Mathematics: Polynomials
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!

Operations with Polynomials in Several Variables

2. 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.

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!

Remainder Theorem & Factor Theorem: Definition & Examples

5. 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

6. 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.

Fundamental Theorem of Algebra: Explanation and Example

7. Fundamental Theorem of Algebra: Explanation and Example

In this lesson, you will learn what the Fundamental Theorem of Algebra says. You will also learn how to apply this theorem in determining solutions of polynomial functions.

Understanding Basic Polynomial Graphs

8. Understanding Basic Polynomial Graphs

This lesson will cover understanding basic polynomial graphs. The lesson focuses on how exponents and leading coefficients alter the behavior of the graphs.

Basic Transformations of Polynomial Graphs

9. 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.

The Binomial Theorem: Defining Expressions

10. The Binomial Theorem: Defining Expressions

In this lesson, students will learn the binomial theorem and get practice using the theorem to expand binomial expressions. The theorem is broken down into its parts and then reconstructed.

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.
Not Taken

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Other Chapters

Other chapters within the Ohio Assessments for Educators - Mathematics (027): Practice & Study Guide course

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