05 - Factoring the GCF (Greatest Common Factor) from a Polynomial in Algebra, Part 1
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- เผยแพร่เมื่อ 6 ก.พ. 2025
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In this lesson, you will learn what a common factor is in a polynomial expression in Algebra. We will then use the concept of a common factor to pull out, or factor, the greatest common factor (GCF) from a multi term expression (polynomial).
This is a crucial skill because factoring the greatest common factor in algebra is necessary to solve equations and inequalities for more complex topic in algebra 1, algebra 2, and college algebra.
![Learn Greatest Common Factor (GCF) & Least Common Multiple (LCM) - [7]](http://i.ytimg.com/vi/W0ZQZtbq01c/mqdefault.jpg)
There is a huge difference between teachers who explain the logic of a process and those who don't, this guy is explaining everything and it's a damn shame that a lot of teachers don't care to even explain math when it's literally their job.
Omg! I've been struggling with this for almost a week now... not going to lie I was crying while watching this video. Towards the end it just magically clicked, tysm! You have no idea how helpful you are and I'm grateful! Please keep making these videos for the sake of my sanity.
Awesome!!
@@MathAndScience
I understood this in 30 minutes when it took me a proper month and a half in school. Wish I found this channel sooner. Love it.
the best math teacher on the planet hands down, shoutout to you!! you know exactly how to break everything down!!!!!!!!
Why couldn’t ever schools math teacher be as
Awesome as this guy? I learned so much from this lecture.
SAME HERE BUT THAT IS A GREAT QUESTION :)
Thank you so much for explaining in detail and giving problems to do. I’m 35 and have failed my math portion of the ged, but these videos are giving me hope. I never learned algebra. Thank you so much.
skill issue
Huh
Ok, so I'm studying to take my TSIA2 and I just couldn't for the life of me understand how my teacher was distributing the exponents. It takes me a while to understand things sometimes, but the way you broke this down is just amazing! I'm so happy that I finally know how to factor using the GCF. Now I wonder if you have a video on trinomials lol
From a fellow educator…excellent job on chunking and breaking down such a complex concept….nice work 🎉
The best explanation ever for GCF . Thanks
HANDS DOWN
I had to find this to understand your proof on the Law of Cosine video.
For over two years now, in my spare time, I have been working on understanding the triangle. I could not have ever imagined how complicated a triangle really is. It has been hard, but so much fun at the same time.
My algebra book didn’t explain this well enough for me to understand so you just saved me from a headache. Thank you.
I CAN NOT EXPRESS IN WORDS HOW GREAT YOU ARE .....
I've been watching all your videos for the topics since the beginning and bless you is all I can say
Great explanation from the very beginning! (or better yet, sound foundations to develop understanding!) Thank you!
What a great teacher!😊
WITHOUT A QUESTION
You saved my life!!!!
i spent an hour looking for this thank you very much
You ROCK!!!! I think you just saved me. My professor is horrible and I don't mind saying so. He's so mean to me I'm afraid to even ask questions.
Great video again 😊
thank you so much for this... my 9th grader and I appreciate you.
Fantastic ! Thank you
SYNTAX -- The "factored form" is written as: GFC ( term + term ).
it is great lecture i watch with my son. it is helpful. thanks to Jason.
THANK YOU... SIR...!!!
Best explanation. Thanks a lot
Finally I understand 😭👌👌
Thank you teacher
When I look at these videos, I realize the importance of knowing your multiplication tables. And I see why students have problems with high school math-they are not proficient in multiplication, and they are not proficient in the basic arithmetic operations.
Thank you sir
Helped a lot, thnx
I have a question about your problem around the 23 min mark. I feel the answer is incorrect. And it should be 5y2z(5x2 + 3z) I could be wrong and my dyslexia sees it different. Sorry if that’s the case
10x^2 + 5x^2(y) = 5x(2x + xy) is what I got as an answer. It that still correct?
Yes but it can be simplified further by making the 5x into 5x^2 so you wouldn’t have to write X out again in the parentheses
thanks
👏👏👏🙏
Wow I don't like math and did not under stand it
But know in half hour I understand
For the first time, I understand factoring, of a polynomial, I might have made a B in your class instead of my usual D-.
You ROCK!!!! I think you just saved me. My professor is horrible and I don't mind saying so. He's so mean to me I'm afraid to even ask questions.