Factoring Algebraic Expressions

Click Here for word problems that use factoring to solve.

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

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

Factoring 3-Factor out GCF - trickier

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

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

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

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.

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 product of 2 binomials. So this video is preparation for that, which begins in Factoring Part 6.

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.

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.

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.

Factoring using Criss-Cross Method Part 1 and Part 2: Shows a way to factor quadratics with leading coefficient not equal to 1 using trial factors using a criss-cross method.

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

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.

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.

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.

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.

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


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


Factoring 14b-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=2I3mNUYXatU

Factoring14c-Why the method in Factoring 14b works: This video was created especially for Barry, an 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

Factoring using the Asterisk Method: Here is another cool method to factor quadratic trinomials shown by Ms. Kimmel.  It's also similar to the New Method in Factoring 14b.  For it to work, your must FIRST factor out any GCF from the trinomial before using this method.

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

Factoring Quadratics using Shortcut method (a slight variation on the Asterisk method above): https://www.youtube.com/watch?v=70dA34KAFWw

For it to work, your must FIRST factor out any GCF from the trinomial before using this method.

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

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


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

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

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

Factoring 19-FACTORING COMPLETELY

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

Solving Quadratic (and other non-linear Equations) by factoring

QE1: Solving Equations by Factoring 1: http://youtu.be/hadbOzKIdys

QE2: Solving Equations by Factoring 2: http://youtu.be/uvqFKHU-fjg