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Ch 19: CEOE Middle Level/Intermediate Math: Polynomial Functions

About This Chapter

The collections of lessons in this chapter have been prepared by Study.com instructors as an aid for your upcoming Certification Examinations for Oklahoma Educators (CEOE) Middle Level/Intermediate Math test. The subject matter of these lessons is polynomial functions.

CEOE Middle Level/Intermediate Math: Polynomial Functions - Chapter Summary

This series of lessons can help you prepare for the CEOE Math test. Our study guide will help you answer test questions on things like:

  • Evaluating polynomials in function notation
  • Using long division to evaluate polynomials
  • Dividing polynomials with synthetic division
  • Factoring polynomials using the rules and steps of quadratic form
  • Writing polynomial equations using rational and complex zeros
  • Looking at remainder theorem and factor theorem
  • Explaining the fundamental theorem of algebra
  • Working with polynomial graphs and basic transformations of polynomial graphs

Our subject matter experts keep the videos short and focused. They end each lesson with a quiz to validate your understanding of material. If the quiz indicates you need to look back over anything, use the video transcript or the unique timeline tool that will take you right to the sector of the video you need to watch again. You can also utilize a link that lets you ask a direct question to our experts.

10 Lessons in Chapter 19: CEOE Middle Level/Intermediate Math: 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.
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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 OSAT Middle Level/Intermediate Mathematics (CEOE) (125): Practice & Study Guide course

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