What you'll learn
Learn the difference between factoring, and finding actual zeros (x-intercepts).
Learn simple factoring when a=1. Also known as A/C method.
Learn factoring when a>1 also known as bottom up factoring.
Learn grouping by factoring.
Find zeros using quadratic formula.
Learn factoring using a difference of two squares.
Learn factoring a difference of two cubes.
Learn factoring a sum of two cubes.
Learn factoring out greatest common factor (GCF).
Learn factoring using rational zero theorem and synthetic division.
Requirements
None. Anyone can enroll in this course even if you know very little algebra.
Description
In this course, I will explain the difference between completely factoring a polynomial, and solving for the actual zeroes. I will explain the importance of factoring, and how it can help when graphing a polynomial. Basically, you need to know how to properly factor a polynomial if you want to graph a polynomial. In this course, I will go over all the factoring rules of a polynomial. In this course, I will go over all the factoring rules of a polynomial. I will go over simple factoring when the a-value is equal to one. I will go over bottoms up factoring also known as the a/c method when the a-value is equal to one. I will go over bottoms up factoring also known as the a/c method when the a-value is greater than one. I will go over factoring out the greatest common factor or known as factoring out GCF. I will go over grouping by factoring, and when can you use grouping by factoring. I will go over finding x- intercepts by using quadratic formula which will be useful when graphing a polynomial. I will go over factoring special factoring rules such as factoring using a difference of two squares. I will go over factoring the difference of two cubes, and when to use it. I will go over factoring a sum of two cubes, and when can you use the rule. Finally, I will properly go over rational zero theorem, and synthetic division the last resort of factoring.
Overview
Section 1: Introduction
Lecture 1 The Purpose Of Factoring
Lecture 2 Quiz 1
Lecture 3 Factoring When a=1 (Simple Factoring)
Lecture 4 Quiz 2 On Simple Factoring
Lecture 5 Factoring When a>1 (A/C Method, Bottom Up Factoring)
Lecture 6 Quiz 2 On Bottom Up Factoring
Lecture 7 Factoring By Grouping
Lecture 8 Quiz 3 Factoring By Grouping
Lecture 9 Solving By Quadratic Formula
Lecture 10 Quiz 4 Finding Zeros Using Quadratic Formula
Lecture 11 Factoring Using A Difference Of Two Squares
Lecture 12 Part 2 Factoring Using A Difference Of Two Squares
Lecture 13 Quiz 5
Lecture 14 Factoring A Difference Of Two Cubes
Lecture 15 Part 2 Factoring A Difference Of Two Cubes
Lecture 16 Quiz 6 Factoring A Difference Of Two Cubes
Lecture 17 Factoring A Sum Of Two Cubes
Lecture 18 Part 2 Factoring A Sum Of Two Cubes
Lecture 19 Quiz 7 On Factoring Using A Sum Of Two Cubes
Lecture 20 Quiz 7 On Factoring Using A Sum Of Two Cubes.
Lecture 21 Factoring Out Greatest Common Factor (GCF)
Lecture 22 Part 2 Factoring Out Greatest Common Factor
Lecture 23 Quiz 8 Factoring Out GCF
Lecture 24 Factoring Using Rational Zero Theorem And Synthetic Division
Lecture 25 Part 2 Of Factoring Polynomial Using Rational Zero Theorem And SyntheticDivision
Lecture 26 Part 3 Of Factoring Polynomial Using Rational Zero Theorem And SyntheticDivision
Lecture 27 Quiz 9 Factor Polynomial Completely Using Rational Zero Thm And Synthetic
Lecture 28 Part 1 Practice Problem For Factoring
Lecture 29 Part 2 Practice Problem For Factoring
Lecture 30 Part 3 Practice Problem For Factoring
Lecture 31 Part 4 Practice Problem For Factoring
Section 2: Special Factoring Rules Worksheet
Lecture 32 worksheet pdf
Section 3: Practice Problems Part 1 PDF
Lecture 33 practice problems part 1 pdf
Section 4: Practice Problems Part 2 PDF
Lecture 34 Practice problems part 2 pdf
Section 5: Part 3 Practice Problems Part 3 PDF
Lecture 35 This is part 3 practice problems part 3
Section 6: Solutions To All Practice Problems
Lecture 36 solutions to all practice problems
Anyone from beginners to advanced. There's no prerequisite.


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