09 - Factor by Grouping in Algebra (Factoring Trinomials, Quadratics, Binomials & Polynomials)
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- เผยแพร่เมื่อ 25 ส.ค. 2024
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In this lesson, you will learn how to factor expressions in algebra by grouping. The general idea is to look for patterns of large terms in the trinomial, binomial, or polynomial and pull out that large term as a common factor.
Large expressions can be factored by grouping in algebra which allows more complex equations to be solved.
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It's been awhile since I did a math equations. You really outlines the fundamentals for all the algebra equations. Good job sir
It's soo helpfull for me , like today I'am studying at home cuz of pandemic . But I really thankfully I found this video 💜💗
You’ve saved my teenage son and his old mom. THANK YOU!!
Yes you are right, the secret of all higher tier difficult clases are just the basics.
Right now I’m taking an Intermediate Fluid Mechanics class for my Aerospace Engineering major and was stuck in a very complicated expression. I knew that expression had to be factorable some how but I was just stuck on how to do it properly, watched this video and immediately factored it. NEVER forget the basics, you’ll need them in the long run.
Well said! Thank you!
@@MathAndScience I'm 15 years old ,and this helps me alot ,the explanation is so clear ,thank you so much ,because in this time most of us have to do the ONLINE ,it helps me alot 😊
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Thank you for your simple yet profound explanation. You are a great teacher. God bless you and your family 👪
Hello there I am studying for the SAT and your videos really have been helping me refresh my memory on algebra and the basics that I need to know in order to solve SAT questions can you do a video based on all things you need to know for the math SAT that would be really helpful !
You are a lifesaver!! Sometime I just don't understand and the way you explain just helps me so much
Thank you!!
You are very welcome!
seriously, you are the best. you just made me understand and love maths.
Very Clear. I was struggling with getting my head around factoring out the negative and then why the value before it , in this case +2 was multiplied by it thereby changing it to - 2. Have subscribed as I'm sure i'll be needing more help.
Thank u sir, you are a bonafide teacher!
I really understand ur lessons because you take time to explain things better.
Thank you so much I finally fully understand grouping
Happy to help!
Hi sir you really teach in good method. I like it sk from nepal
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thank you so much this was much easier to understand then khan academy …
You teach better than my college teacher
Really great clear instruction!
Love your videos thank you this is so helpful
Thank you for your videos.
Thank you for this video! Thank you for posting this video! I have to practice, but now the manipulation make sense!
OMG MY MIND HAS BEEN BLOWN. THANK YOU SIR.
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For the last one, is (1+b)(-2+a) also an acceptable answer? Or would it be wrong
Love it!
Hello, So I'm going through the Calculus section on your site and so far so good. Definitely learning. But the issue I'm having is that on the answer sheet (for problems I get wrong and don't know how to approach) there isn't a clear way of explaining why something was done (or the method to use it). For example, I'm on the worksheet 'Calculus 1 - Limits Worksheet 4 Evaluating Limits by Factoring, Part 2'. The last problem has a factoring by grouping approach to.
The problem is that I seriously don't recall me ever learning this back in any of my algebra class, so I had no one of knowing how to approach the problem. The answer key doesn't help because it doesn't fully go over how the problem was factored by grouping.
I think a good thing to have on the answer key is the 'title' or 'name' of the method used in the step (since the whole step isn't being shown) so we can go back to that section/unit on your site and go over how to properly do it. It took me almost an hour to figure out that it was called 'factor by grouping' and it was hard finding it on your site since I didn't know what it was called (hence me here on youtube searching to the edge of the earth!)
Another example is radicals. I hate radicals as much as I hate fractions. But with them together is a nightmare. A limit problem on an earlier lesson worksheet had radicals in the fraction. I didn't know how to go about solving, so I had to spend time searching the site to find out where it's at. I think having the name of the method in the specific step when solving the problem in the answer key would be a HUGE help!
The site is great and no complaints at all :) I am definitely taking notes in any algebra stuff I'm learning for the first time or relearning as I need to brush up on it to complete the calculus.
THANK YOU... SIR...!!!
It requires real concentration to apply the rules...!!!
Terrific keep it up, Thanks v much. Great job.
You are saving my life!
Excellent video
This was great, thank you so much!!
So when a pair of binomials matches up, it's common for each term right, we can factorit out?
I was confused with this but now I am clear
for the last question when you moved the other term over can you do that in all the other examples?
thanks sir for this awesome video
so good I liked the video :)
so how do i do this: pm-pn-qm+qn
Oh man, so far I have understood just about every lesson I've seen but this one still gets me hung up. The factoring of -1 and flipping the +2 to a -2 still just doesn't really click with me. And with my test coming up, I fear I won't know what to do at that critical point. Excellent work as always, I just can't figure this.
Take an easier example, how would you factor (2-x)? Well, it doesn't look like it can factor at all. but then you remember you can pull out a "1" from anything, so if you do this, it just becomes (2-x) = (1)(2-x). How do you know this is true? Just distribute that "1" back in and you get back what you started. Unfortunately this factored form is useless and doesn't really simplify anything.
But then you remember, you can also pull out a "-1" from anything you want to as well. If you do this, it just flips the sign of everything, like this:
(2-x) = (-1)(-2+x) = (-1)(x-2).
How do you know this is correct? Just distribute that "-1" back inside and it FLIPS THE SIGN of everything on the inside. I hope this helps. Jason
@@MathAndScience On paper and in practice this helps immensely! Thank you Jason.
You really are an awesome teacher and I've learned more from you in a few short weeks than I have in all my years in high school.
I guess what I'm asking here is this: When presented with a problem like this in which the question is to factor it, how would you know when you are able to factor a "-1" in the problem? Moreover, and this could be the wrong video to ask this but in regards to factoring equations in this manner - I was always taught that what you do on one side of the equal sign, you must do on the other. What happens when you must factor that "-1" on one side but only one side of the equation requires that factoring?
Secret of life has been exposed
Thank you so much!
Jason, MathAndScience.com
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How get Two
Isn't factoring something means we are undistributing something
X^2 (a+b)-10x(a+b)+21(a+b) ??
Sir guessing is being unsure
Who's watching this in 2024😅
Me ❤
Meeee
2 is common
.
Secret of life has been exposed