Chapter 6

USE ANOTHER BROWSER TO SEE ALL OF MY VIDEOS.

See videos in order, or for particular sections in the textbook. The labeling of each video (6V1, 6V2, etc.) is for students in my class. Students need to copy the contents of each video for their Video Notebook if it has a label.  If there is not label, then it's optional for you view it. You do not include notes for that video in the VN.  Label top of each page with the Video Label given for each video.

This is a series of videos showing different factoring methods, with lots of examples, as well as how to solve equations by factoring, and how to solve word problems by writing equations and factoring to solve.

6.1

6V1: Factoring 1-Factor out GCF 

This shows the basics of factoring a polynomial by factoring out the greatest common factor. 

http://www.youtube.com/watch?v=WOCCSoaZRv8 

6V2: Factoring 2-Factor out a negative GCF 

This is part 2 on factoring, and covers how to factor out a negative sign, and also how to recognize opposites such as a - b and b - a. 

http://www.youtube.com/watch?v=bLI6NOZ8kdY 

6V3: Factoring 3-Factor out GCF - trickier 

This videos covers factoring out the GCF for more complicated problems. 

http://www.youtube.com/watch?v=N9Yg6pVGP7A 

6V4: Factoring 4a-Factor 4 terms by grouping 

This video covers how to factor 4 terms into 2 binomials by using the traditional factoring by grouping method. 

http://www.youtube.com/watch?v=2MtsZRjxjMo 

6V5: Factoring 4b-Use Box to factor 4 terms 

This video covers how to factor 4 terms into 2 binomials by using a nontraditional method using a BOX. 

http://www.youtube.com/watch?v=64qzpRRCzUk 

6.2

6V6: Factoring 5-Find 2 #s with given product & sum 

This video shows you how to methodically find 2 numbers with a given sum and product. This could be useful when factoring quadratic trinomials into the produce ot 2 binomials. So this video is preparation for that, which begins in Factoring Part 6. 

http://www.youtube.com/watch?v=06RdArZXthg 

6V7: Factoring 6-Basic Trinomials Part I

This video (part 1) shows a method of factoring a basic trinomial of the form x-squared + bx + c into the product of 2 binomials using the product and sum approach.

http://www.youtube.com/watch?v=BQaOVcJ7KmE

6V8: Factoring 7-Basic Trinomials Part 2 

This is part 2 of factoring basic trinomials. More examples and situations are covered, including factoring out GCF first, trinomials that don't factor, more than one variable, etc. 

http://www.youtube.com/watch?v=BG53n9Ef4fM 

6.3 and 6.4

Factoring 10 mainly corresponds to the method shown in 6.3 of the text. Then I present many other methods, some of which I've made up, and also the method shown in 6.4.  You may find some methods easier than others. You don't have to use a particular method.

6V9: Factoring 8-Trinomials Part 1-Trial Factors 

This is part 1 of factoring trinomials into 2 binomials when the coefficient of x-squared is not 1. This is an introduction to the trial factors method. 

http://www.youtube.com/watch?v=thMv6JovewA 

6V10: Factoring using Criss-Cross Method: Shows a way to factor quadratics with leading coefficient not equal to 1 using trial factors using a criss-cross method.

Part 1: http://www.youtube.com/watch?v=QQVaEhymV5I

Part 2: http://www.youtube.com/watch?v=wbt2RUKbRII

6V11: Factoring 9 - Trinomials Part 2 - Get one factor! 

This is part 2 of factoring trinomials into 2 binomials when the coefficient of x-squared is not 1. This is an introduction to a sneaky way of finding one correct factor using the product/sum approach, and from that, easily finding the other factor 

http://www.youtube.com/watch?v=ZNfvctmIVzw 

6V12: Factoring 10 - Trinomials part 3 - get one factor! 

This is part 3 of factoring trinomials into 2 binomials when the coefficient of x-squared is not 1. It is a continuation of part 2 showing three more examples of using the short-cut (sneaky) method of first finding one correct factor using the product and sum. 

http://www.youtube.com/watch?v=9RN_QAHtmfw 

6V13: Factoring 11 - Trinomials Part 4 

This is part 4 of factoring non-basic trinomials into 2 binomials by Factoring by Grouping. Explains why using the sum and product idea works when rewriting the middle term as the sum of two terms. 

http://www.youtube.com/watch?v=85a9bkP85ag 

6V14: Factoring 12 - Trinomials Part 5 

This is part 5 of factoring non-basic trinomials into 2 binomials. More examples using factoring by grouping, and the box method. 

http://www.youtube.com/watch?v=ld4VT_ml3Nk 

6V15: Factoring 13 - Trinomials Part 6 

This is part 6 of factoring non-basic trinomials into 2 binomials. More examples using a BOX method, which is an alternative to factoring by grouping. 

http://www.youtube.com/watch?v=a1VOMsR8iZo 

6V16: Factoring Completely 1 - This video demonstrates how to factor some polynomials completely by factoring out the GCF first.  In these problems, after factoring out the GCF, you will get a quadratic trinomial that can be factored.

http://www.youtube.com/watch?v=PUCDaCctvyo

6V17: Factoring 14a - Trinomials Part 7 

This is part 7 of factoring non-basic trinomials into 2 binomials. More practice factoring trinomials using various methods. Also covers factoring trinomials when the coefficient of the squared variable is negative, and factoring completely by factoring out the greatest common factor first. 

http://www.youtube.com/watch?v=DTYnwV86nAM 

6V18: Factoring14b-Trinomials part 8 New Method 

Trinomials part 8 - This is part 8 using a new method to factor non-basic trinomials. This is a non-traditional, but easy way to factor trinomials. 

http://www.youtube.com/watch?v=M_1mvgT6QgI 

Optional: Factoring14c-Why the method in Factoring 14b works: This video was created especially for Barry, and 8th grade Algebra 1 student, who wrote to ask me why the factoring method in my video Factoring 14b works.  Thanks to Barry for being curious and asking questions!  

http://www.youtube.com/watch?v=2I3mNUYXatU

6.5

6V19: Factoring 15a - Difference of 2 Squares 

Covers the formula for the factoring the difference of two squares, including examples. 

http://www.youtube.com/watch?v=Fwqh9vq0sq8 

6V20: Factoring 15b - Difference of 2 Squares part 2 newer 

Covers more involved factoring of difference of 2 squares. 

http://www.youtube.com/watch?v=PY39ZW3_B14 

6V21: Factoring 16 Sum of 2 squares is prime 

Emphasizes that the sum of two perfect squares usually is non-factorable over the integers and is prime. 

http://www.youtube.com/watch?v=ziWn6u5_i6g 

6V22: Factoring 17-Perfect Square Trinomials 

Shows how to recognize and factor Perfect Square Trinomials. 

Added: April 27, 2009, 02:05 PM 

http://www.youtube.com/watch?v=LdOgluTLBxQ 

Optional: Factoring 18-Sum and Difference of 2 Cubes 

Covers how to factor the Sum and Difference of 2 Cubes, including more complex problems. 

http://www.youtube.com/watch?v=icm6zjdOYek 

Optional: FACTORING COMPLETELY: See the video 6V16 if you need to review how to Factor Completely.

6.6

6V23: Solving Equations by Factoring 1 

Covers zero-product property and part 1 of how to solve non-linear equations by factoring. 

http://www.youtube.com/watch?v=hadbOzKIdys 

6V24: Solving Equations by Factoring 2 

Covers zero-product property and part 2 of how to solve non-linear equations by factoring. 

http://www.youtube.com/watch?v=uvqFKHU-fjg 

6.7

Below are Word Problems you solve by writing an equation and factoring. WP stands for Word Problem 

6V25: WP1-Solve number puzzle by factoring 

This is a Word Problem you solve by writing an equation and factoring. Word Problem 1 - Number Puzzle-The square of a negative number is 15 more than twice the negative number. What is the number? 

http://www.youtube.com/watch?v=HOxLak15pY8 

6V26: WP2-Solve Triangle if you know perimeter 

This is a Word Problem you solve by writing an equation and factoring. Word Problem 2 - Perimeter of a Triangle-The perimeter of a given triangle is 85 meters. By looking at the picture, state the lengths of the sides of the triangle. 

http://www.youtube.com/watch?v=AcGK5JL_aqk 

6V27: WP3-Solve Rectangle if you know area 

This is a Word Problem you solve by writing an equation and factoring. Word Problem 3 - Area of a Rectangle-Use the info from a picture of a rectangle to find the length and width is its area is 54 sq. ft. 

http://www.youtube.com/watch?v=1DE17TuY8Rw 

6V28: WP4-Solve triangle if you know area 

This is a Word Problem you solve by writing an equation and factoring. Word Problem 4 -Area of a Triangle-The height of a triangle is 4 inches more than twice the length of the base. The area of the triangle is 35 square inches. Find the height of the triangle. 

http://www.youtube.com/watch?v=EZjhKZU4Rko 

6V29: WP5-Solve triangle using Pythagorean theorem 

This is a Word Problem you solve by writing an equation and factoring. Word Problem 5 - Pythagorean Theorem-Find the lengths of the sides of the right triangle shown on the diagram. 

http://www.youtube.com/watch?v=5TPrdcpgtX8 

6V30: WP6-Find time using physics formula 

This is a Word Problem you solve by writing an equation and factoring. Word Problem 6 - Physics ball falling application-Use the formula given to do this problem. A ball is thrown on a hard surface and bounces straight up. The initial velocity of the rebound is 64 feet per second. How many seconds later will the ball hit the ground? 

http://www.youtube.com/watch?v=CepqshwePog 

6V31: WP7-Find interest rate based on investment formula 

This is a Word Problem you solve by writing an equation and factoring. Word Problem 7 - Investment problem-At the end of 2 years, P dollars invested at an interest rate r compounded annually increases to an amount, A dollars, given by a formula shown in video. Find the interest rate if $2000 increased to $2420 in 2 years. Write the answer as a percent. 

http://www.youtube.com/watch?v=5vGMzZpXEBg