09 - Factor by Grouping in Algebra (Factoring Trinomials, Quadratics, Binomials & Polynomials)

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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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You’ve saved my teenage son and his old mom. THANK YOU!!

lelia
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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

jonathancedillo
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It's soo helpfull for me, like today I'am studying at home cuz of pandemic . But I really thankfully I found this video 💜💗

kimseoklen
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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.

marijana
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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 !

Rasha.Hussein
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Thank you for your simple yet profound explanation. You are a great teacher. God bless you and your family 👪

richrichards
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seriously, you are the best. you just made me understand and love maths.

alexisdauli
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Thank u sir, you are a bonafide teacher!
I really understand ur lessons because you take time to explain things better.

kingsleyjohn-holt
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You are a lifesaver!! Sometime I just don't understand and the way you explain just helps me so much
Thank you!!

china.leeeeeeee
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Hi sir you really teach in good method. I like it sk from nepal

skrijal
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Love your videos thank you this is so helpful

AneleKhanyile-kocd
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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.

HoodieJosean
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Terrific keep it up, Thanks v much. Great job.

naderhumood
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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.

aguythatsrandom
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Thank you for this video! Thank you for posting this video! I have to practice, but now the manipulation make sense!

cherylmC
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Thank you so much I finally fully understand grouping

trevywitz
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for the last question when you moved the other term over can you do that in all the other examples?

denvercharlebois
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thank you so much this was much easier to understand then khan academy …

jessegonzalez
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So when a pair of binomials matches up, it's common for each term right, we can factorit out?

ArcadeMaster
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You teach better than my college teacher

alandr