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Factoring Polynomials: Introduction
                        Greatest Common Factor (GCF): Introduction, Factoring with GCF as First Step, Factoring with 2 Variables


 Factoring Polynomials: Introduction
After showing that the first and last terms of a trinomial are the result of multiplication, while the middle term is the result of addition or subtraction, I present a dependable way to factor trinomials, or see that they are prime. I cover five factoring problems, one of which is prime, in the first 15 minutes. I then offer a mixed practice with five more problems, where one may pause the video and try them first. The first "Sheets Used in Video" page already has the text that gets filled in as I work on the first two problems. The meaning of the text will become clear as you work along with the video. (I chose to include the text to save you the trouble of writing it, but you may benefit most from covering it until it is revealed in the video, otherwise it may be a distraction.)

The "Factoring Polynomials: Introduction" worksheet has four colums of five problems each. The columns have a similar variety of problems, so you can benefit from building in breaks between working the columns; this helps to promote your long term memory.
 
Sheets Used in Video
Sheets Used in Video (Answer Key)


Factoring Polynomials: Introduction
Factoring Polynomials: Introduction (Answer Key)




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Greatest Common Factor: Introduction, Factoring with GCF as First Step, Factoring with 2 Variables

I present factored terms of a trinomial to illustrate the concept of GCF prior to factoring it out. Then I cover three more polynomials in which I factor out the GCF more directly. Next I offer three short "rules" one can follow for factoring in general, prior to covering three more trinomials with GCF as the first step. On the last of those, I factor out a negative coefficient to cause the first term to become positive. Lastly, building off the factoring of a trinomial with one variable, I introduce how to handle factoring a trinomial with two variables. I encourage you to print the "Sheets Used in Video" to assist you in working along with the video. There are a couple problems at the end for which you may want to pause the video so you can try factoring on your own. That will help you to learn and retain the information.

The
"GCF: Intro, Factor w GCF as First Step, Factor w 2 Variables" worksheet has four columns of five problems each. The columns have similar problems; take a break between columns to help promote your long term memory.
 
 
Sheets Used in Video
Sheets Used in Video (Answer Key)


GCF: Intro, Factor w GCF as First Step, Factor w 2 Variables
GCF: Intro, Fact w GCF as First Step, Fact w 2 Var (Answer Key)




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November 1, 2017
I will be adding topics to this page, but it could easily be weeks or months before I have the time to create them.
  Mr. B


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