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Ch 13: NMTA Essential Academic Skills Math: Calculating Polynomial Functions

About This Chapter

The NMTA Essential Academic Skills Mathematics exam has been replaced by the NES Essential Academic Skills Subtest III: Mathematics. As you study for this NES exam, review the material in this chapter to improve your understanding of mathematical operations with polynomials.

NMTA Essential Academic Skills Math: Calculating Polynomial Functions - Chapter Summary

The material of this chapter can help you review the steps taken when solving mathematical operations with polynomials. Start by watching the videos by our professional instructors to refresh your knowledge about higher degree polynomials, polynomial operations and theorems about polynomials. After watching these videos you should have a better understanding of:

  • Solving higher degree polynomials
  • Addition, subtraction and multiplication of polynomials
  • Using quadratic form when factoring polynomials
  • Long and synthetic division of polynomials
  • The remainder, factor and fundamental theorems of algebra
  • Using the rational zeros theorem with synthetic division

Reinforce your retention of the information presented in this chapter by completing lesson quizzes to find areas you have not mastered. Use video tags to return the locations in the videos where these areas were discussed to reinforce your mastery of these topics. Also try reading over the text transcripts for an alternative review of the material.

NMTA Essential Academic Skills Math: Calculating Polynomial Functions Objectives

The National Evaluation Series (NES) Essential Academic Skills Subtest III: Mathematics is a subtest of a the NES Essential Academic Skills series. Educators take this subtest to demonstrate their mastery over essential mathematical knowledge. When you take this subtest you will complete 45 multiple-choice questions in a one hour testing session. Of the material covered by these questions, some belong to the competency area of fundamental principles of algebra, including some questions on identifying linear equations. The purpose of this chapter is to prepare yourself for these questions by showing you how to complete calculations with polynomial functions.

5 Lessons in Chapter 13: NMTA Essential Academic Skills Math: Calculating Polynomial Functions
Test your knowledge with a 30-question chapter practice test
Solving Higher Degree Polynomials

1. 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

2. 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!

Factoring Polynomials Using Quadratic Form: Steps, Rules & Examples

3. 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.

How to Divide Polynomials with Long Division

4. 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

5. 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!

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 NMTA Essential Academic Skills Subtest Math (003): Practice & Study Guide course

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