College Algebra Lecture 6: How to Factor Polynomials

In this lecture, we look at how to factor polynomials. We look at greatest common factors, trinomial factoring, factor by grouping, perfect square trinomials, the difference of squares, the sum and difference of cubes, and factoring expressions that have fractional and negative exponents. This lecture series will follow the OpenStax College Algebra 2e text.

College Algebra Lecture 6.
Chapter 1 Prerequisites
1.5 Factoring

College Algebra Lectures:
https://youtube.com/playlist?list=PLm90IN9RVLf-dEB23w6udDywhpnuBT1eb&si=B4wXoin2xbxVlmym

OpenStax College Algebra 2e:
https://openstax.org/subjects/math#College%20Algebra

Dogmathic Discord:
https://discord.com/channels/1397605575101255780/1397605575558168577

Chapters:
00:00 Introduction to Lecture 5
01:38 What is Factoring?
03:10 Greatest Common Factor
03:50 Example 1
06:11 Example 2
10:38 Factoring Trinomials
12:55 Example 1
14:45 Factoring by Grouping (ac method)
15:14 Example 1
19:39 Grouping (ac) Method
23:33 Factoring a Perfect Square Trinomial
24:46 Example 1
26:18 Example 2
28:11 Difference of Squares
28:39 Example 1
29:42 Sum and Difference of Cubes
30:55 Example 1
32:30 Example 2
34:05 Factoring Expressions Using Fractional or Negative Exponents
35:12 Example 1
36:52 Example 2
41:27 Next Time and Thanks for Watching

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