Big Dave’s: Learning Factoring



Step by Step


What you will learn

Identify the proper factoring technique to use

Factor using the GCF (Greatest Common Factor) technique

Factor using the Grouping Technique

Factor using the PSD Technique

Factor using the Key Number Technique

Factor using the Difference of Two Squares Technique

Factor using the Difference of Two Cubes Technique

Factor using the Sum of Two Cubes Technique

Description

Many students struggle in College Algebra throughout the country.  Often times it is a lack of basic skills.  Factoring is one of the most important techniques that you have to understand to help succeed in College Algebra.  I used to make the claim that if you could not factor then you would not get through College Algebra.  This is a little bit too strong but it is an essential skill.  I counted one time and it was used in fourteen other sections in the course.  This course is meant to give you that foundational skill that will help you succeed in College Algebra!

The factoring techniques that will be covered are the Greatest Common Factor (GCF) Technique, Grouping Technique, PSD Technique, Key Number Technique, Difference of Two Squares Technique, Difference of Two Cubes Technique, and Sum of Two Cubes Technique.


I firmly believe that anybody can get through College Algebra.  I had a student one time that had surgeries to remove brain tumors when he was young. In the process, it destroyed his short-term memory.  He asked if I would work with him outside of classes.  I met with him at 7:00 AM every morning and he got tutoring help for three hours a day.  He finished not only College Algebra but Elementary Statistics also.  If he could be successful in College Algebra then anybody can succeed!

English
language

Content

Introduction

Instructor and Course Introduction
Pre-Assessment Quiz on Factoring
Overview of Factoring Techniques

GCF (Greatest Common Factor) Technique

Factoring Using the GCF Technique
What is the GCF
Example – GCF By Hand
Example 1
Example 2
Example 3
Example 4
Practice Problems

Grouping Technique

Factoring Using the Grouping Technique
Example 1
Example 2
Example 3
Example 4
Practice Problems

PSD Technique

Factoring Using the PSD Technique
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Practice Problems

Key Number Technique

Factoring Using the Key Number Technique
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Practice Problems

Difference of Two Squares Technique

Factoring Using the Difference of Two Squares Technique
Example 1
Example 2
Example 3
Example 4
Practice Problems

Difference of Two Cubes Technique

Factoring Using the Difference of Two Cubes Technique
Example 1
Example 2
Example 3
Practice Problems

Sum of Two Cubes Technique

Factoring Using the Sum of Two Cubes Technique
Example 1
Example 2
Example 3
Practice Problems

Oddball Factoring and Wrap Up

Example 1
Example 2
Example 3
Example 4
Wrap Up

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