About This Chapter
How it works:
- Identify the lessons in the Glencoe Algebra 1 Factoring chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the factoring 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:
- Prime factorization
- Methods for finding the greatest common factor
- Use of the distributive property in factoring polynomial expressions
- Solutions for quadratic equations through factoring
- Differences of squares
- Solutions of quadratic trinomials with factoring
- Methods for factoring perfect squares
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1. How to Find the Prime Factorization of a Number
The prime factorization of a number involves breaking that number down to its smallest parts. This lesson will show you two different ways to discover the prime factorization of any number.
2. How to Find the Greatest Common Factor
If the factors of a number are the different numbers that you can multiply together to get that original number, then the greatest common factor of two numbers is just the biggest one that both have in common. See some examples of what I'm talking about here!
3. 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.
4. Solving Quadratics: Assigning the Greatest Common Factor and Multiplication Property of Zero
When it comes to solving quadratics, we have at our disposal several methods. Watch this video lesson to learn one such method you can use to solve quadratics that don't have a constant term.
5. 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.
6. 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!
7. Solving Quadratic Trinomials by Factoring
Factoring is a quick and easy way to find the solutions to a quadratic trinomial. Watch this video lesson to learn how you can use this method to solve your quadratics.
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Other chapters within the Glencoe Algebra 1: Online Textbook Help course
- Glencoe Algebra 1 Chapter 1: The Language of Algebra
- Glencoe Algebra 1 Chapter 2: Real Numbers
- Glencoe Algebra 1 Chapter 3: Solving Linear Equations
- Glencoe Algebra 1 Chapter 4: Graphing Relations and Functions
- Glencoe Algebra 1 Chapter 5: Analyzing Linear Equations
- Glencoe Algebra 1 Chapter 6: Solving Linear Inequalities
- Glencoe Algebra 1 Chapter 7: Solving Systems of Linear Equations and Inequalities
- Glencoe Algebra 1 Chapter 8: Polynomials
- Glencoe Algebra 1 Chapter 10: Quadratic and Exponential Functions
- Glencoe Algebra 1 Chapter 11: Radical Expressions and Triangles
- Glencoe Algebra 1 Chapter 12: Rational Expressions and Equations
- Glencoe Algebra 1 Chapter 13: Statistics
- Glencoe Algebra 1 Chapter 14: Probability