Ch 28: MTEL Math: Polynomial Functions Basics

About This Chapter

Refresh your knowledge of the fundamentals of polynomial functions as you view these quick video lessons. Let this comprehensive refresher course help you enhance your ability to choose correct answers on the MTEL Mathematics exam.

MTEL Math: Polynomial Functions Basics - Chapter Summary

Brush up on your skills and increase your mastery of polynomial functions, graphs and more in these brief video lessons. The videos contain the material in the list below:

  • Explanation of polynomial function terminology
  • Evaluating polynomials in function notation
  • How to understand basic polynomial graphs
  • How to find intervals of polynomial functions
  • Behavior of polynomials: short and long run
  • Graphing quintics, quartics, cubics and more
  • Definition and use of Pascal's Triangle
  • Explanation of the binomial theorem

One of the most convenient features that characterize this study guide is its mobility. You can work from any location that provides online access, and from a variety of electronic devices including your smartphone, laptop, notebook or tablet computer. As long as you can gain access to the internet, you have access to the lessons in this study guide.

MTEL Math: Polynomial Functions Basics Chapter Objectives

The MTEL Mathematics exam is a criterion-referenced and competency-based test required for content-area endorsement or teacher licensure. This is a computer-based exam consisting of six total subareas. The Polynomial Functions Basics chapter of our MTEL Math test prep study guide is aligned to competencies falling under Subarea I: Number Sense and Operations. There are between 14 and 16 questions in this subarea, and it accounts for 12% of the overall exam.

Altogether, you have 100 multiple-choice questions to answer and two open-ended response assignments to complete. Topics for the open-ended assignments may be drawn from any of the subareas, and will require you to develop a composition of between 150 and 300 words. You must complete both of the assignments.

8 Lessons in Chapter 28: MTEL Math: Polynomial Functions Basics
Test your knowledge with a 30-question chapter practice test
Terminology of Polynomial Functions

1. 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.

How to Evaluate a Polynomial in Function Notation

2. How to Evaluate a Polynomial in Function Notation

This lesson will review how to evaluate polynomials in function notation. Along with an analogy to explain the process, examples will be given and worked during the lesson.

Understanding Basic Polynomial Graphs

3. 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.

Finding Intervals of Polynomial Functions

4. Finding Intervals of Polynomial Functions

Watch this video lesson to learn how you can find the intervals of a polynomial function. Also learn how to find out whether each interval is negative or positive.

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

5. 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.

How to Graph Cubics, Quartics, Quintics and Beyond

6. How to Graph Cubics, Quartics, Quintics and Beyond

Finding the graph of a polynomial isn't too hard. If you can graph, you already know the major steps! With a couple rules and helpful memorizing tools, you will be graphing polynomials in no time!

Pascal's Triangle: Definition and Use with Polynomials

7. Pascal's Triangle: Definition and Use with Polynomials

Pascal's Triangle is defined and discussed briefly. Following the introduction to the triangle, its use in expanding polynomial powers is elaborated with examples.

The Binomial Theorem: Defining Expressions

8. 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.
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Other Chapters

Other chapters within the MTEL Mathematics (09): Practice & Study Guide course

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