Ch 19: Factoring & Graphing Polynomials

About This Chapter

If you need to review polynomial factoring and graphing concepts, look no further than this convenient math chapter. Watch fun lessons and take practice quizzes to strengthen your math skills for homework assignments, exams or just for fun.

Factoring & Graphing Polynomials - Chapter Summary

Get practice factoring and graphing polynomials with this convenient online math chapter. As you work through these short lessons at your own pace, you'll evaluate polynomial function properties and theorems, as well as the methods that are used to graph and factor polynomials. When you're finished with the chapter, you'll be equipped to:

  • Recognize the properties of polynomial functions
  • Understand basic polynomial graphs
  • Use long division to divide polynomials and quadratic form to factor polynomials
  • Explain the remainder theorem, factor theorem and fundamental theorem of algebra
  • Graph cubics, quartics and quintics
  • Factor polynomials over complex numbers

The chapter is available at any time that fits your schedule, and you can access it using your computer or smartphone. Be sure to take the accompanying self-assessment quizzes to check your understanding of the polynomial terms, formulas and theorems. If you get stuck or need any extra help, our instructors are available to answer your questions.

8 Lessons in Chapter 19: Factoring & Graphing Polynomials
Test your knowledge with a 30-question chapter practice test
Polynomial Functions: Properties and Factoring

1. Polynomial Functions: Properties and Factoring

Everything from projectile motion to trigonometric functions can be described by polynomials. Review factoring, polynomials and quadratic functions in this lesson.

Understanding Basic Polynomial Graphs

2. 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.

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!

Remainder Theorem & Factor Theorem: Definition & Examples

4. 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.

Fundamental Theorem of Algebra: Explanation and Example

5. 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.

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!

Factoring Polynomials Using Quadratic Form: Steps, Rules & Examples

7. 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.

Factorization of Polynomials Over Complex Numbers

8. Factorization of Polynomials Over Complex Numbers

In this lesson we show show how to factor polynomials when the factors contain complex numbers. Using examples, we show how this is an extension of cases where the factors are purely real.

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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