Ch 16: NMTA Math: Polynomials

About This Chapter

Watch this chapter's video lessons to review polynomials, so you can be prepared to answer like questions on the NMTA Math examination. You can practice using your knowledge by taking the cumulative chapter exam.

NMTA Math: Polynomials - Chapter Summary

This chapter provides tips for performing operations with polynomials. Although you may have already learned some of the concepts in these video lessons, revisiting the strategies could help you solve polynomials on the NMTA Math examination. You'll study the definitions of basic terms and review several theories and procedures for working with polynomial graphs. Allow this chapter's lessons to assist you with:

  • Adding, subtracting and multiplying polynomials
  • Using long and synthetic division techniques to divide polynomials
  • Solving polynomials that have multiple variables
  • Describing the remainder theorem, the factor theorem, the binomial theorem and the rational zeroes theorem along with the fundamental theorem of algebra
  • Illustrating polynomial graphs and outlining different kinds of transformations in polynomial graphs

Understanding these concepts is made simpler with these informative online videos. They are presented by credentialed and experienced instructors whose goal is to help you get a handle on these topics and apply what you've learned. You'll be able to study when you have time, and you can learn anywhere as long as you've got the Web-ready technology necessary to do so. When you reach the end of a lesson, take the quizzes and determine your readiness for the NMTA Math examination.

NMTA Math - Polynomials - Chapter Objectives

When you sit for the NMTA Math examination, you'll be required to provide answers to 150 questions that are in multiple-choice format. The polynomials material in the Patterns, Algebra and Functions section of the examination reflects the topics that have been discussed in this chapter. This section is actually equal to 24% of the examination score. You'll spend about four hours and 15 minutes answering the questions and qualifying for a mathematics endorsement.

10 Lessons in Chapter 16: NMTA Math: 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 NMTA Mathematics (304): Practice & Study Guide course

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