Ch 20: MTLE Mathematics: Polynomial Functions

About This Chapter

This chapter on polynomial functions is intended to expand your knowledge base of the subject to the scope necessary for acing the related sections of the MTLE Mathematics exam.

MTLE Mathematics: Polynomial Functions - Chapter Summary

This chapter touches on all the mathematic functions of polynomials that you'll want to be versed in come test day, with lessons covering the following topics:

  • Evaluating a polynomial in function notation
  • Dividing polynomials with long division
  • Using synthetic division to divide polynomials
  • Factoring polynomials using quadratic form
  • Using rational and complex zeros to write polynomial equations
  • Remainder theorem and factor theorem
  • Finding rational zeros using the rational zeros theorem and synthetic division
  • The fundamental theorem of algebra
  • Basic polynomial graphs and their transformations

By taking the practice quizzes at the end of each lesson, you'll be able to make sure you received the content correctly, while simultaneously familiarizing yourself with the sort of questions you'll be answering on the exam. If you'd like to use these quizzes to study more offline, you can also print them as worksheets.

10 Lessons in Chapter 20: MTLE Mathematics: Polynomial Functions
Test your knowledge with a 30-question chapter practice test
How to Evaluate a Polynomial in Function Notation

1. 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.

How to Divide Polynomials with Long Division

2. 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

3. 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!

Factoring Polynomials Using Quadratic Form: Steps, Rules & Examples

4. 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.

Using Rational & Complex Zeros to Write Polynomial Equations

5. Using Rational & Complex Zeros to Write Polynomial Equations

In this lesson, you will learn how to write a polynomial function from its given zeros. You will learn how to follow a process that converts zeros into factors and then factors into polynomial functions.

Remainder Theorem & Factor Theorem: Definition & Examples

6. 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

7. 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

8. 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

9. 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

10. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
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 MTLE Mathematics: Practice & Study Guide course

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