Ch 14: Algebra II: Polynomials Overview

About This Chapter

With these lessons, students can learn more about the tools they will need to enhance their understanding of polynomials. Working with this chapter can help students study for upcoming exams, prepare for discussions in class, and earn higher grades.

Algebra II: Polynomials Overview - Chapter Summary

High school students need to read and understand a great deal of information both before they graduate and as they move on in college or the professional world. This chapter provides students with focused training on polynomials.

Instead of an endless chapter of information, the chapter has been divided into short, individualized lessons. Students have the option to review all of the lessons in order, but they can also pick and choose lesson topics in which they need the most assistance. The chapter menu provides a list of all lessons available, and since each lesson is only focused on a single topic, students can easily find what they need. After completing this chapter, students will be ready to:

  • Understand basic polynomial graphs and their basic transformations
  • Evaluate a polynomial in function notation
  • Define Pascal's Triangle and use it with polynomials
  • Use the binomial theorem to expand binomial expressions
  • Explain the remainder theorem and factor theorem
  • Outline the process of using the rational roots theorem

7 Lessons in Chapter 14: Algebra II: Polynomials Overview
Test your knowledge with a 30-question chapter practice test
Understanding Basic Polynomial Graphs

1. 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 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.

Basic Transformations of Polynomial Graphs

3. 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.

Pascal's Triangle: Definition and Use with Polynomials

4. 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

5. 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.

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.

How to Use the Rational Roots Theorem: Process & Examples

7. How to Use the Rational Roots Theorem: Process & Examples

When it comes to solving polynomials, it can sometimes be easier to begin with a list of possible solutions to try. This video lesson tells you how to form a list of possible solutions by using the rational roots theorem.

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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