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Ch 6: Prentice Hall Algebra 2 Chapter 6: Polynomials and Polynomial Functions

About This Chapter

The Polynomials and Polynomial Functions chapter of this Prentice Hall Algebra 2 textbook companion course helps students learn the essential algebra lessons of polynomials and polynomial functions. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Polynomials and Polynomial Functions textbook chapter.

How it works:

  • Identify the lessons in the Prentice Hall Algebra 2 Polynomials and Polynomial Functions chapter with which you need help.
  • Find the corresponding video lessons within this companion course chapter.
  • Watch fun videos that cover the polynomials and polynomial functions topics you need to learn or review.
  • Complete the quizzes to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

Students will learn:

  • Basic polynomial graphs
  • Use of rational and complex zeros to write polynomial equations
  • How to divide polynomials with long division
  • Factoring of polynomials using quadratic form
  • Use of the Rational Zeros Theorem and synthetic division to find rational zeros
  • How to calculate permutations
  • Pascal's Triangle

Prentice Hall Algebra 2 is a registered trademark of Pearson Education, Inc., which is not affiliated with Study.com.

17 Lessons in Chapter 6: Prentice Hall Algebra 2 Chapter 6: Polynomials and Polynomial Functions
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.

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.

Remainder Theorem & Factor Theorem: Definition & Examples

3. 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.

Using Rational & Complex Zeros to Write Polynomial Equations

4. 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.

How to Divide Polynomials with Long Division

5. 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

6. 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!

Dividing Polynomials with Long and Synthetic Division: Practice Problems

7. Dividing Polynomials with Long and Synthetic Division: Practice Problems

Let's look at some more polynomial division problems. We will use long division and synthetic division, but this time we will have a couple of more involved problems. So, get out some paper and a pencil and let's begin!

Polynomial Functions: Properties and Factoring

8. 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.

Factoring By Grouping: Steps, Verification & Examples

9. Factoring By Grouping: Steps, Verification & Examples

How do you factor an expression if all the terms don't share a common factor? Grouping! In this lesson, we'll learn how to use grouping to help factor expressions.

Factoring Polynomials Using Quadratic Form: Steps, Rules & Examples

10. 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.

Finding Rational Zeros Using the Rational Zeros Theorem & Synthetic Division

11. 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

12. 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.

What Is a Factorial?

13. What Is a Factorial?

Maybe it's because I'm a math teacher, but when I watched the Olympics I found myself thinking about how many different ways the swimmers could have finished the race. In this video, you'll learn the answer to this question, why it's important and how it lead to the invention of the mathematical operation called the factorial.

How to Calculate a Permutation

14. How to Calculate a Permutation

A permutation is a method used to calculate the total outcomes of a situation where order is important. In this lesson, John will use permutations to help him organize the cards in his poker hand and order a pizza.

Math Combinations: Formula and Example Problems

15. Math Combinations: Formula and Example Problems

Combinations are an arrangement of objects where order does not matter. In this lesson, the coach of the Wildcats basketball team uses combinations to help his team prepare for the upcoming season.

Pascal's Triangle: Definition and Use with Polynomials

16. 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

17. 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.
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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