Series IIIa and IIIb give you the power to be able to factor and solve polynomials of any degree. Factoring techniques included in this series are: the Difference of Squares, Complex Trinomial Factoring (4-step method), Quadratic Formula including The Discriminant, and Synthetic Division.
In addition to the above, we also do an in-depth discussion of The Division Statement, Polynomial Long Division, look at the graphical meaning of factoring polynomials, use Let Statements and Substitution to factor polynomial and non-polynomial functions, and discuss The Remainder and The Factor Theorems.
Extras included in this series are look at Why Math is Important and two tips on how to improve your study habits.
Full list and links for all the videos contained in the series are provided below and are available at: Table of Contents: The Language of Mathematics - Series IIIb.
See Videos Available for Download for information on the torrent for this series.
Table of Contents
Section 1: Recaps and Introductions
Section 2: Difference of Squares
- Continues from Section 5 of Series IIIa
- Lesson 1: Videos: (99): Factoring: Part 6 - Difference of Squares (Part 1) , (100): Factoring: Part 7 - Difference of Squares (Part 2), 6 Examples, and (101): Factoring: Part 8 - Difference of Squares (Part 3), Be Careful With The Following
- Lesson 2: Videos: (102): Difference of Squares: Solving Equations, a Graphical Representation (Part 1) , (103): Difference of Squares: Solving Equations, a Graphical Representation (Part 2), and (104): Difference of Squares: Solving Equations, a Graphical Representation (Part 3)
Section 3: Factoring Complex Trinomials using the 4-Step Method
- Videos: (106): Factoring: Part 9 - Complex Trinomials (Part 1), 4-Step Method , (107): Factoring: Part 10 - Complex Trinomials (Part 2), 4-Step Method, (108): Factoring: Part 11 - Complex Trinomials (Part 3), 4-Step Method - Ex. #2, and (109): Factoring: Part 12 - Complex Trinomials (Part 4), 4-Step Method - Ex. #3
Section 4: The Quadratic Formula
- Videos: (110): Factoring: Part 13 - Quadratic Formula (Part 1): Introduction , (111): Factoring: Part 14 - Quadratic Formula (Part 2): Ex. #1, and (112): Factoring: Part 15 - Quadratic Formula (Part 3): Ex. #2 & #3
Section 5: The Let Statement
- Videos: (113): Factoring: Part 16: Let Statement (Part 1): Substitution , (114): Factoring: Part 17: Let Statement (Part 2): Quadratic Formula, (115): Factoring: Part 18: Let Statement (Part 3): Quadratic Formula,and (116): Factoring: Part 19: Let Statement (Part 4): Quadratic Formula, Checking Solutions
Section 6: Synthetic Division and The Division Statement
Lesson 1: Introduction, Long Division, and The Division Statement
- Videos: (117): Factoring Part 20: Synthetic Division Part 1: Introduction , (118): Factoring Part 21: Synthetic Division Part 2: Long Division, The Division Statement, and (119): Factoring Part 22: Synthetic Division Part 3: The Division Statement
Lesson 2: Polynomial Long Division
- Videos: (120): Factoring Part 23: Synthetic Division Part 4: Polynomial Long Division (Part 1) , (121): Factoring Part 24: Synthetic Division Part 5: Polynomial Long Division (Part 2), (123): Factoring Part 25: Synthetic Division Part 6: Polynomial Long Division (Part 3), and (124): Factoring Part 26: Synthetic Division Part 7: Polynomial Long Division (Part 4)
Lesson 3: Video: (125): The Division Statement, a Graphical Representation
Lesson 4: Synthetic Division
- Videos: (126): Factoring Part 27: Synthetic Division Part 8: Part 1 - When to Use It , (127): Factoring Part 28: Synthetic Division Part 9: Part 2 - Be Careful With the Following, (128): Factoring Part 29: Synthetic Division Part 10: Part 3 - A Simple Example #1, and (129): Factoring Part 30: Synthetic Division Part 11: Part 4 - A Simple Example #2
Lesson 5: Factoring Large Polynomials
- Videos: (130): Factoring Part 31: Synthetic Division Part 12: Part 5 - Introduction to Factoring Large Polynomials , (131): Factoring Part 32: Synthetic Division Part 13: Part 6 - Factoring Large Polynomials, Ex1, (132): Factoring Part 33: Synthetic Division Part 14: Part 7 - Factoring Large Polynomials, 2a, (133): Factoring Part 34: Synthetic Division Part 15: Part 8 - Factoring Large Polynomials, 2b, (134): Factoring Part 35: Synthetic Division Part 16: Part 9 - Factoring Large Polynomials, 3a, and (135): Factoring Part 36: Synthetic Division Part 17: Part 10 - Factoring Large Polynomials, 3b
Section 7: The Remainder Theorem and The Factor Theorem
Section 8: Why Math is Important
- Videos: (137): Why is Math Important? Part 1: Five Reasons Why Math is Important , and (138): Why is Math Important? Part 2: Because it's part of evolution, part of what makes us human
Section 9: Study Tips
- Lesson 1: Videos: (139): How to Study: Introduction , (140): How to Study: Tip #1: Why Are You Here?, and (141): How to Study: Tip #2: Longer is Better (Introduction to Efficiency)
Section 10: Miscellaneous
- Videos: (93): Torrents are now available for Series I, II, and III , (94): Update January 2010: Table of Contents, torrents, and chycho , (95): Update for chycho.com and Language of Mathematics: Introducing "420math" and "Math in Real life" (Part 1), (96): Update for chycho.com and Language of Mathematics: Introducing "420math" and "Math in Real life" (Part 2), and (136): Update for The Language of Mathematics: Series IIIb, Torrents, and Other Content)
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