About This Chapter
How It Works:
- Identify the lessons in the Prentice Hall Nonlinear Functions & Polynomials chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the nonlinear functions and polynomials 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 about:
- The classification of arithmetic sequences
- Geometric sequences
- Graphing absolute value
- Doing transformations
- Decay and exponential growth
- Quadratics, polynomials and binomials
- The subtraction, addition and multiplication of polynomials
- The use of the FOIL and area methods to multiply binomials
- The process of completing multiplication practice problems using the area and FOIL methods
Prentice Hall is a registered trademark of Pearson Education, which is not affiliated with Study.com.
1. How to Find and Classify an Arithmetic Sequence
Arithmetic sequences are everywhere, and with a few tricks you learn here, you could end up looking like a psychic the next time you go to a movie or a football game!
2. Working with Geometric Sequences
In this video lesson, we'll learn how to recognize when a sequence of numbers is a geometric sequence, how to find the common ratio and how to expand a sequence to as many numbers as we want!
3. What is a Parabola?
A parabola is the U shape that we get when we graph a quadratic equation. We actually see parabolas all over the place in real life. In this lesson, learn where, and the correct vocab to use when talking about them.
4. How to Graph an Absolute Value and Do Transformations
Absolute value graphs normally look like the letter 'V', but transformations can change that 'V' in a number of different ways. As well as teaching you how to graph absolute values, this video will focus on a specific group of transformations called translations. Learn all about what that means here!
5. Exponential Growth vs. Decay
How is it that it only takes four years for our computer to go from top-of-the-line to almost worthless? Well, it has something to do with what's called exponential decay, which we'll learn about here!
6. What are Polynomials, Binomials, and Quadratics?
What do polynomials, binomials, and quadratics have in common? What are their differences? How can you identify each of them? Watch this video lesson to find the answers.
7. How to Add, Subtract and Multiply Polynomials
Adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about, but this video will show you that's no problem, so no worries! This method has worked for many of my students, and I think it will work for you, too!
8. Multiplying Binomials Using FOIL and the Area Method
From the distributive property, to FOIL, to the area model, to happy faces and claws, there are many different ways to learn how to multiply binomials. In this lesson, you'll learn how to use all of them and get to pick which one you like the most.
9. Multiplying Binomials Using FOIL & the Area Method: Practice Problems
There are a few mistakes that are easy to make when multiplying binomials with FOIL and also a few ways to complicate problems like this, so why not make sure you're brushed up on your skills? You'll also learn a shortcut and how to use the area method to multiply even bigger polynomials.
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Other chapters within the Prentice Hall Pre-Algebra: Online Textbook Help course
- Prentice Hall Pre-Algebra Chapter 1: Algebraic Expressions & Integers
- Prentice Hall Pre-Algebra Chapter 2: Solving One-Step Equations & Equalities
- Prentice Hall Pre-Algebra Chapter 3: Decimals & Equations
- Prentice Hall Pre-Algebra Chapter 4: Factors, Fractions & Exponents
- Prentice Hall Pre-Algebra Chapter 5: Operation with Fractions
- Prentice Hall Pre-Algebra Chapter 6: Ratios, Proportions & Percents
- Prentice Hall Pre-Algebra Chapter 7: Solving Equations & Inequalities
- Prentice Hall Pre-Algebra Chapter 8: Linear Functions & Graphing
- Prentice Hall Pre-Algebra Chapter 9: Spatial Thinking
- Prentice Hall Pre-Algebra Chapter 10: Area & Volume
- Prentice Hall Pre-Algebra Chapter 11: Right Triangles in Algebra
- Prentice Hall Pre-Algebra Chapter 12: Data Analysis & Probability