# Ch 11: Algebra II: Factoring

This chapter on factoring can show you how to use prime factorizations, equivalent expressions and grouping techniques to solve algebraic equations. Short and engaging video lessons can help you learn, and practice problems at the end of the lessons can test your understanding of the material.

## Algebra II: Factoring - Chapter Summary and Learning Objectives

This chapter starts with a definition of factoring and its relation to algebra. You'll learn how to use factorization and fraction notation to solve equations. You'll also study how to transform factoring into a division problem. By the end of the chapter, you should understand:

• Prime factorization
• Least common multiples
• Equivalent expressions
• Fraction notation
• Factoring transformations
• Factoring by grouping
• Rational roots theorem

Video Objective
What Is Factoring in Algebra? - Definition and Example Provide a definition of factoring and explain its purpose in algebra. Define important algebraic terms like factors, coefficients and constants.
How to Find the Prime Factorization of a Number Understand how to find the prime factorization of a number.
Using Prime Factorizations to Find the Least Common Multiples Determine the least common multiples of two or more numbers using prime factorization techniques.
Equivalent Expressions and Fraction Notation Find equivalent fraction expressions by multiplying by 1.
Using Fraction Notation: Addition, Subtraction, Multiplication and Division Perform basic addition, subtraction, multiplication and division operations using fraction notation.
Factoring Out Variables: Instruction and Examples Factor out the variables in an expression and provide several examples.
Combining Numbers and Variables When Factoring Learn how to combine numbers and variables when factoring to find the greatest common factor.
Transforming Factoring into a Division Problem Explain how to reduce fractions using division operations to make equations easier to solve.
Factoring by Grouping: Steps, Verification and Examples Recognize the steps needed to factor by grouping and understand how to verify your answer.
How to Use the Rational Roots Theorem: Process and Examples Understand how to use the rational roots theorem and provide sample math problems.

10 Lessons in Chapter 11: Algebra II: Factoring
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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