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College Algebra Lecture 5: Add/Subtract/Multiply Polynomials
In this lecture, we look at how to add, subtract, and multiply polynomials. We also look at performing operations on polynomials with more than one variable. This lecture series will follow the OpenStax College Algebra 2e text.
College Algebra Lecture 5.
Chapter 1 Prerequisites
1.4 Polynomials
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
01:57 Definition of a Polynomial
04:44 What is a Term of a Polynomial
04:57 What is the Leading Term of a Polynomial
05:40 What is a Leading Coefficient of a Polynomial
06:45 Example 1
08:34 Example 2
10:28 Adding Polynomials
10:38 Example 1
13:05 Example 2
15:28 Subtracting Polynomials
16:00 Example 1
18:25 Example 2
21:10 Multiplying Polynomials
21:27 Example 1
23:51 Example 2
27:36 Multiplying Binomials Using FOIL
28:00 What is FOIL?
29:32 Example 1
32:25 Example 2
34:55 Difference of Squares
36:30 Example 1
37:03 Example 2
38:14 Polynomials with Several Variables
38:54 Example 1
41:57 Example 2
44:37 Next Time and Thanks for Watching
#collegealgebra #pemdas #propertiesofrealnumbers #maths #math #algebra #algebraic_expressions #polynomials #polynomial #polynomialFoil
#foil #adding #subtraction #multiplication
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