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Ch 15: Polynomials: NBPTS Math - Adolescence & Young Adult

About This Chapter

This chapter on polynomials is comprised of highly-accessible video lessons taught by professional instructors. These brief lessons can help you prepare for relevant questions on the NBPTS Math (Adolescence & Young Adult) exam.

NBPTS Math - Adolescence & Young Adult: Polynomials - Chapter Summary

The lessons in this chapter define and demonstrate numerous terms and operations concerning the function of polynomials in mathematics, fleshing out all of the following topics:

  • Differentiating polynomials, binomials, and quadratics
  • Short and long-run behavior of polynomials
  • Factoring polynomial expressions
  • Higher degree polynomials
  • Adding, subtracting, and multiplying polynomials
  • Using long and synthetic division to divide polynomials
  • Operations with polynomials across several variables
  • Basic polynomial graphs
  • Polynomial functions and the terminology involved in them

Within each of these lessons you'll have the option of reviewing the content through a video or transcript of the material, depending on the method of learning you prefer. You'll easily be able to spot the bolded key terms within the transcript, and if you opt for the video, the timeline feature will enable you to jump around the lesson's main points.

10 Lessons in Chapter 15: Polynomials: NBPTS Math - Adolescence & Young Adult
Test your knowledge with a 30-question chapter practice test
What are Polynomials, Binomials, and Quadratics?

1. What are Polynomials, Binomials, and Quadratics?

What do polynomials, binomials, and quadratics have in common? What are their differences? How can you identify each of them? Watch this video lesson to find the answers.

Short Run & Long Run Behavior of Polynomials: Definition & Examples

2. Short Run & Long Run Behavior of Polynomials: Definition & Examples

Watch this video lesson to learn how you can use the graph of a polynomial to help you explain the polynomial function. Learn how to explain the behavior of the polynomial at the origin and at the far ends.

Factoring Polynomial Expressions

3. Factoring Polynomial Expressions

When it comes to factoring polynomials, there are several methods to choose from depending on what kind of polynomial you are looking at. Watch this video lesson to learn how to identify and use the appropriate method.

Solving Higher Degree Polynomials

4. 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.

How to Add, Subtract and Multiply Polynomials

5. 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!

Dividing Polynomials with Long and Synthetic Division: Practice Problems

6. 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

7. 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.

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.

Terminology of Polynomial Functions

9. Terminology of Polynomial Functions

After watching this video lesson, you will be able to understand and use the words associated with polynomial functions like a pro. You will see words, such as leading coefficient, and you will immediately know what it is referring to.

Polynomial Functions: Properties and Factoring

10. Polynomial Functions: Properties and Factoring

Everything from projectile motion to trigonometric functions can be described by polynomials. Review factoring, polynomials and quadratic functions in this lesson.

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 National Board Certification Exam - Mathematics/Adolescence & Young Adulthood: Practice & Study Guide course

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