# Ch 16: High School Algebra - Factoring: Tutoring Solution

### About This Chapter

## How it works:

- Begin your assignment or other high school algebra I work.
- Identify the factoring concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our high school algebra I tutoring solution will benefit any student who is trying to learn factoring and earn better grades. This resource can help students including those who:

- Struggle with understanding how to find the prime factorization of a number or equivalent fraction expressions, use fraction notation, factor out variables, factor by grouping or any other factoring topic
- Have limited time for studying
- Want a cost effective way to supplement their math learning
- Prefer learning math visually
- Find themselves failing or close to failing their factoring unit
- Cope with ADD or ADHD
- Want to get ahead in high school algebra I
- Don't have access to their math teacher outside of class

## Why it works:

**Engaging Tutors:**We make learning factoring simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live high school algebra I tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn factoring on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning Objectives

- Define factoring and understand why it is used in algebra.
- Determine the prime factorization of a number.
- Find the least common multiple using prime factorization.
- Learn how to find equivalent fraction expressions.
- Use fraction notation to add, subtract, multiply and divide.
- Understand how to factor out variables.
- Combine variables and numbers when factoring.
- Use division to reduce fractions and make factoring easier.
- Describe the steps required for factoring by grouping.

### 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.

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### Other Chapters

Other chapters within the High School Algebra I: Tutoring Solution course

- High School Algebra - Basic Arithmetic: Tutoring Solution
- High School Algebra - Solving Math Word Problems: Tutoring Solution
- High School Algebra - Decimals and Fractions: Tutoring Solution
- High School Algebra - Percent Notation: Tutoring Solution
- High School Algebra - Real Numbers: Tutoring Solution
- High School Algebra - Exponents and Exponential Expressions: Tutoring Solution
- High School Algebra - Radical Expressions: Tutoring Solution
- High School Algebra - Algebraic Expressions and Equations: Tutoring Solution
- High School Algebra - Properties of Functions: Tutoring Solution
- High School Algebra - Matrices and Absolute Value: Tutoring Solution
- High School Algebra - Working With Inequalities: Tutoring Solution
- High School Algebra - Properties of Exponents: Tutoring Solution
- High School Algebra - Complex and Imaginary Numbers: Tutoring Solution
- High School Algebra - Algebraic Distribution: Tutoring Solution
- High School Algebra - Linear Equations: Tutoring Solution
- High School Algebra - Graphing and Factoring Quadratic Equations: Tutoring Solution
- High School Algebra - Properties of Polynomial Functions: Tutoring Solution
- High School Algebra - Rational Expressions: Tutoring Solution
- High School Algebra - Cubic Equations: Tutoring Solution
- High School Algebra - Quadratic Equations: Tutoring Solution
- High School Algebra - Measurement and Geometry: Tutoring Solution
- High School Algebra - Calculations, Ratios, Percent & Proportions: Tutoring Solution
- High School Algebra - Data, Statistics, and Probability: Tutoring Solution
- High School Algebra - Well-Known Equations: Tutoring Solution