Series IIIb Description: What's Contained in this Series

This series is a continuation of Series IIIa.

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.

For ease of reference, included below is the Table of Contents and the expanded image of the tree menu provided in the left column of this site. Specific topics can be found through the Index (left column).

Table of Contents

- Series IIIb Description: What's Contained in this Series

- (97): Recap of Series I, II, and IIIa

- (98): Introduction to Series IIIb

Section 1: Introduction to Factoring Polynomials

- (105): Why We Factor Polynomials

- (122): Factoring Polynomials, a Graphical Representation

Section 2: Difference of Squares

- (99, 100, 101): Difference of Squares (Part 1 to 3): Factoring Polynomials (Part 6 to 8)

- (102, 103, 104): Solving Equations, a Graphical Representation (Part 1 to 3)

Section 3: Complex Trinomials: Factoring using the 4-Step Method

- (106, 107, 108, 109): Factoring Complex Trinomials using the 4-Step Method (Part 1 to 4): Factoring Polynomials (Part 9 to 12)

Section 4: The Quadratic Formula and The Discriminant

- (110, 111, 112): The Quadratic Formula and The Discriminant (Part 1 to 3): Factoring Polynomials (Part 13 to 15)

Section 5: The Let Statement, and Substitution (with Quadratic Formula)

- (113, 114, 115, 116): The Let Statement, Substitution, and the Quadratic Formula Examples (Part 1 to 4): Factoring Polynomials (Part 16 to 19)

Section 6: Synthetic Division, Polynomial Long Division, and The Division Statement

- (117, 118, 119): Introduction to Synthetic Division, Long Division, and The Division Statement (Part 1 to 3): Factoring Polynomials (Part 20 to 22)

- (120, 121, 123, 124) Polynomial Long Division (Part 1 to 4): Factoring Polynomials (Part 23 to 26)

- (125): The Division Statement, a Graphical Representation

- (126, 127, 128, 129): Synthetic Division: Introduction With Two Simple Examples: Factoring Polynomials (Part 27 to 30)

- (130, 131): Synthetic Division: Introduction and Example for Factoring Large Polynomials: Factoring Polynomials (Part 31 to 32)

- (132, 133): Synthetic Division: Factoring Large Polynomials Example #2: Factoring Polynomials (Part 33 to 34)

- (134, 135): Synthetic Division: Factoring Large Polynomials Example #3: Factoring Polynomials (Part 35 to 36)

Section 7: The Remainder Theorem and The Factor Theorem

- (142): Introduction to The Remainder Theorem and The Factor Theorem

Section 8: Why Math is Important

- (137): Why is Math Important? Five Reasons Why Math is Important

- (138): Why is Math Important? Because the language of mathematics plays a vital role in our evolution (article and video)

Section 9: Study Tips

- (139, 140, 141): How to Study: Introduction and Study Tips #1 and #2

Image of Tree Menu

From Series IIIb Tree Menu - The Language of Mathematics