# Ch 8: Algebra II: Factoring Review

### About This Chapter

## Algebra II: Factoring Review - 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 reviewing factoring in algebra.

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:

- Define factoring and give an example
- Find the prime factorization of a number and use it to find the least common multiple
- Explain equivalent expressions and fraction notation
- Use fraction notation in addition, subtraction, multiplication and division
- Understand how to factor out variables
- Combine numbers and variables when factoring
- Transform factoring into a division problem
- Describe how to factor by grouping

### 1. What is Factoring in Algebra? - Definition & Example

In algebra, factoring is used to simplify an algebraic expression by finding the greatest common factors that are shared by the terms in the expression. Explore the factoring process, learn how to identify the factors of an expression or term, and practice examples.

### 2. How to Find the Prime Factorization of a Number

The prime factorization of a number is found by breaking a number down to its prime factors. Discover the definitions of prime number, factor, and prime factorization and explore factors of a number, prime numbers, and the two methods used for finding prime factorization.

### 3. Using Prime Factorizations to Find the Least Common Multiples

Prime factorization is the first step used to find the least common multiple (LCM). Study the definition of the least common multiple and prime factorization, and learn how to find the LCM through practice problems.

### 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

In mathematics, a fraction is a number that is not whole, and mathematical equations that contain fractions can be challenging to understand and solve. Learn how to use fraction notations to make it easier to perform addition, subtraction, multiplication, and division in problems with fractions.

### 6. Factoring Out Variables: Instructions & Examples

Factoring is a common and very useful mathematical procedure. Learn what factoring is and follow instructions to easily factor examples of numbers, variables, and exponents.

### 7. Combining Numbers and Variables When Factoring

In algebra, factors are numbers that can be multiplied to produce another number, and factoring reverses the multiplication to simplify an expression. Explore the definition and process for factoring, learn about combining numbers and variables, and see examples.

### 8. Transforming Factoring Into A Division Problem

Transforming factoring into a division problem is a method to find the greatest common factor of a polynomial. Learn how to use division (and multiplication) to factor equations, transform factoring into a division problem, and double-check and prove answers.

### 9. Factoring By Grouping: Steps, Verification & Examples

In algebra, factoring is a technique to simplify an expression by reversing the multiplication process. Learn about factoring by grouping, review the three steps, explore splitting the middle term, and work examples to practice verification.

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### Other Chapters

Other chapters within the High School Algebra II: Homeschool Curriculum course

- Algebra II: Linear Equations Review
- Algebra II: Systems of Linear Equations Review
- Algebra II: Absolute Value Review
- Algebra II: Inequalities Review
- Algebra II: Working with Real Numbers
- Algebra II: Exponents and Exponential Expressions Review
- Algebra II: Roots and Radical Expressions Review
- Algebra II: Quadratic Equations Review
- Algebra II: Graphing and Factoring Quadratic Equations Review
- Algebra II: Complex and Imaginary Numbers
- Algebra II: Rational Expressions Review
- Algebra II: Polynomials Review
- Algebra II: Polynomials Overview
- Algebra II: Graphing Polynomial Functions
- Algebra II: Conic Sections
- Algebra II: Exponential and Logarithmic Functions
- Algebra II: Sequences & Series
- Algebra II: Combinatorics Review
- Algebra II: Calculations, Ratios, Percent & Proportions Review
- Algebra II: Statistical Analysis
- Algebra II: Trigonometry Review
- Algebra II: Trigonometry Overview
- Algebra II: Assignments & Projects
- Homeschool Resources for High School Algebra II