About This Chapter
How It Works:
- Identify the lessons in the Prentice Hall Polynomials and Factoring chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the algebra 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:
- Polynomials, binomials and quadratics
- Adding, subtracting and multiplying polynomials
- Factoring in algebra
- Factoring out variables
- Using the FOIL and area methods to multiply binomials
- Using FOIL in reverse to factor quadratic equations
- Solving polynomial problems with a non-1 leading coefficient
- Factoring by grouping
- The process of factoring polynomial expressions
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1. 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.
2. 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!
3. What is Factoring in Algebra? - Definition & Example
Factoring with ordinary numbers involves knowing that 6 is the product of 2 and 3. But what about factoring in algebra? In this lesson, we'll learn the essential elements of algebra factoring.
4. Factoring Out Variables: Instructions & Examples
Let's find the factors. In this lesson, we'll learn how to factor out numbers or variables from an expression. We'll even learn how to factor variables with exponents.
5. 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.
6. 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.
7. How to Factor Quadratic Equations: FOIL in Reverse
So, you know how to multiply binomials with the FOIL method, but can you do it backwards? That's exactly what factoring is, and it can be pretty tricky. Check out this lesson to learn a method that will allow you to factor quadratic trinomials with a leading coefficient of 1.
8. Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient
Once you get good at factoring quadratics with 1x squared in the front of the expression, it's time to try ones with numbers other than 1. It will be the same general idea, but there are a few extra steps to learn. Do that here!
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.
10. Factoring Polynomial Expressions
When it comes to factoring polynomials, there are several methods to choose from depending on what kind of polynomial you are looking at. Watch this video lesson to learn how to identify and use the appropriate method.
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Other chapters within the Prentice Hall Algebra 1: Online Textbook Help course
- Chapter 1: Variables, Function Patterns, and Graphs
- Chapter 2: Rational Numbers
- Chapter 3: Solving Equations
- Chapter 4: Solving Inequalities
- Chapter 5: Graphs and Functions
- Chapter 6: Linear Equations and Their Graphs
- Chapter 7: Systems of Equations and Inequalities
- Chapter 8: Exponents and Exponential Functions
- Chapter 10: Quadratic Equations and Functions
- Chapter 11: Radical Expressions and Equations
- Chapter 12: Rational Expressions and Functions