Problem Solving Made Easy (8th Grade) #6: How to Factor Polynomial by Removing the Greatest Common Monomial Factor ?
"Solving math problem the easier way is intended to help students discover that learning math is easy. Be inspired and motivated with the hope it can sway them from having neutral opinions about math to liking it."
The department of education in my country has been looking for a solution on how students improved their liking on Math subject. Per observation, most of the students nowadays are poor in analytical thinking or they just don't want to think hard anymore. So, after the long days of training on "Critical Content" or least learn competencies, I am now set to find ways on how to teach the topic the easiest way.
Factoring Polynomials - A brief review
Factoring a polynomial is the opposite process of finding its product. If a polynomial is the product of other polynomials, then each of the latter polynomials is called a factor of the original one.
Today's post talks about the simplest type of factoring which involves a polynomial that can be written as the product of a monomial and another polynomial. The technique used here is based on the distributive property, a(b + c) = ab + ac, in the reverse direction. In Illustration we have,
How to Factor Polynomial by Removing the Greatest Common Monomial Factor?
Removing a common factor is the first step in factoring a polynomial completely. The common factor having the greatest numerical factor and with variables having the least degree is what we called the " greatest common factor (GCF)" of the polynomial. Below are the steps in finding the GCF of a polynomial and how to factor it completely.
Here are the steps:
Let 
be the polynomial to be factored completely.
- Step 1. Find the greatest factor of the numerical coefficients.
- Step 2. Find the variable with the least exponent that appears in each term of the polynomial
- Step 3. Multiply the GCF of the numerical coefficient and the GCF of the variable to find the GCF of the polynomial.
- Step 4. To completely factor the given polynomial, divide the polynomial by its GCF and the resulting quotient is the other factor.
Therefore,
( Note to ponder ) :
When we factor, nothing "disappears". We just rearranged things. Simply dividing out of every term and moving it to be in front of the parentheses. Alright!
Application:,
Now to check your understanding you may try this,Factor completely the following polynomial.
You may follow the above steps. I just hope it will help. Till next time.
Steem on!
References:
Simple factoring
GCF
Worktext in Mathematics: e - math8
Images are all mine.
"We live and learn at any rate we live"
Hi @fabio2614!
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wow,thank you so much for the support :)
Your initiative is cool and I would love to work with you on a project that I think would worth your while . . .
thanks @oluwamuyiwa...
May I know what project is it?
Hello @fabio2614! It is about creating an app in form a game that would take learning from the walls of the classroom to the real world where things are happening. So in this case, Doctors, Engineers and many other professionals are going to be the teachers and their working spaces will be the classroom.
As they teach, they will also teach and demonstrate the application of what they teach. Payment will be involved but it would just be a token arouse commitment.
O
If you are interested, we can plan it together . . .
sounds interesting, but I think it needs enough time.. real time
Aray..kita kos x ug y nagsakit na daan akong bangs
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a haha... ikaw jud sana, layo ra nis imong inenglis nga makasunggo😂
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thank you so much steemiteducation for the support
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wow, thank you so much team steemstem for the support
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napakahusay talaga ni madam :-)
how I wish alam ko pa yang mga yan,haha
a haha..alam na alam mo yan, nilimot mo na lang kasi my iba na sa iyong isipan...😂
thanks for dropping by sir😊
haha tama po,
kng mejo bata pa sana ako try ko magturo,hehe
masaya talaga ang magturo...walang katapusang study hehe.
kaso mauubos ang oras mo sa mga batang pasaway... 😂
haha un lang po:-)
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Wow really a cool post .em a engineering student just love these shortcuts 😍
thanks for appreciating my friend😊
Welcome dear ,do checkmy post em a newbie
@fabio2614 you were flagged by a worthless gang of trolls, so, I gave you an upvote to counteract it! Enjoy!!
thank you so much ... why are they doing that to people who did no wrong?so bad