About This Chapter
Who's it for?
This unit of our High School Algebra I Homeschool course will benefit any student who is trying to learn about factoring in algebra. There is no faster or easier way to learn about algebra. Among those who would benefit are:
- Students who require an efficient, self-paced course of study to learn to find the least common multiples by using prime factorizations.
- Homeschool parents looking to spend less time preparing lessons and more time teaching.
- Homeschool parents who need an algebra curriculum that appeals to multiple learning types (visual or auditory).
- Gifted students and students with learning differences.
How it works:
- Students watch a short, fun video lesson that covers a specific unit topic.
- Students and parents can refer to the video transcripts to reinforce learning.
- Short quizzes and a factoring in algebra unit exam confirm understanding or identify any topics that require review.
Factoring in Algebra Unit Objectives:
- Explain how to use fraction notation to add, subtract, multiply and divide.
- Provide examples of factoring out variables.
- Learn about combining variables and numbers.
- Reduce fractions using division.
- Use grouping to factor.
- Define constants and coefficients.
1. 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.
2. 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.
3. Using Prime Factorizations to Find the Least Common Multiples
Finding the least common multiple can seem like a lot of work. But we can use prime factorization as a shortcut. Find out how and practice finding least common multiples in this lesson.
4. Equivalent Expressions and Fraction Notation
Did you know that two fractions can look completely different, but actually be the same? In this lesson, we'll learn about equivalent fractions. We'll also learn to simplify fraction notation.
5. Using Fraction Notation: Addition, Subtraction, Multiplication & Division
How do we add, subtract, multiply or divide with fractions? In this lesson, we'll learn how to use fraction notation correctly no matter what operation we're completing.
6. 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.
7. Combining Numbers and Variables When Factoring
With an expression, you know how to factor out a number, and you know how to factor out a variable. In this lesson, we'll learn how to factor out combined numbers and variables.
8. Transforming Factoring Into A Division Problem
Watch this video lesson to learn how you can factor a problem by turning it into a division problem. Learn how this actually helps you to factor and keep your numbers straight.
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.
Earning College Credit
Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Other chapters within the High School Algebra I: Homeschool Curriculum course
- Basic Arithmetic Review: Homeschool Curriculum
- Solving Math Word Problems: Homeschool Curriculum
- Decimals & Fractions: Homeschool Curriculum
- Percent Notation: Homeschool Curriculum
- Working with Real Numbers: Homeschool Curriculum
- Exponents & Exponential Expressions: Homeschool Curriculum
- Simplifying Square Roots: Homeschool Curriculum
- Algebraic Expressions & Equations: Homeschool Curriculum
- Composing Functions: Homeschool Curriculum
- Matrices & Absolute Value: Homeschool Curriculum
- Working With Inequalities: Homeschool Curriculum
- Properties of Exponents: Homeschool Curriculum
- Imaginary Numbers: Homeschool Curriculum
- Algebraic Distribution: Homeschool Curriculum
- Writing Linear Equations: Homeschool Curriculum
- Graphing & Factoring Quadratic Equations: Homeschool Curriculum
- Properties of Polynomial Functions: Homeschool Curriculum
- Rational Expressions & Equations: Homeschool Curriculum
- Cubic Equations: Homeschool Curriculum
- Solving Quadratics: Homeschool Curriculum
- Measurement & Geometry: Homeschool Curriculum
- Percent & Proportions: Homeschool Curriculum
- Data, Statistics & Probability: Homeschool Curriculum
- Well-Known Equations: Homeschool Curriculum