Factoring Polynomials by Grouping

I work through 4 examples of factoring expressions and solving equations using factoring by grouping.
Here you can find a selection of my Factoring Lessons
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Check out www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at www.mathplane.com If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage / profrobbob

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Glad I finally found someone who knows how to actually teach whilst doing a video! Thanks for the time and help!

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You're welcome Joey...thanks for watching!

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This professor's penmanship is unmatched

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THANKS for the compliment and for subbing Anexis! If you need a break form math I have a few cursive lessons too...lol

[@majorjohn90pilot49]

I have a math teacher and his name is Sir Prince he uses your videos for us to learn math and this is the best math explaination I’ve ever seen keep up the good work!

[@profrobbob]

I will and please be sure to tell your teacher we say THANK YOU for sharing our channel with all his students too! We really appreciate all the support...please make sure everyone knows how important it is to like, subscribe and keep sharing these free educational channels that help you, that's how we continue to grow and remain free for everyone...BAM!!!

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What our teacher has been trying to teach us for a week, explained clearly to me in 15 minutes.

[@profrobbob]

BAM!!! Please sub and share your findings with your teacher and classmates as an after school study reference:D

[@georgesadler7830]

Professor RobBob, this is a powerful video/lecture on Factoring Polynomials by Grouping. Factoring by Grouping is much simpler than the old fashion of trial-and-error methods. If a student is really good at factoring, then he/she can use the trial-and-error methods.

[@leebeast5]

Thank you so much! I was so lost with this at the beginning of the video, but now I feel like I can actually explain my work! Yayyyy, I won't completely bomb my exam!

[@profrobbob]

You're welcome..hope you pass that exam like BAM!!! ...and when you do, please take the time to like, subscribe and share this channel with everyone:)

[@meganb1725]

This made it seem sooo simple and coherent, thank you SO much!

[@profrobbob]

You are SO welcome! Thanks for choosing this channel to study with! Don't forget to like, sub and share it with everyone...BAM!!!

[@profrobbob]

The first two terms is a difference of squares and the last two terms both have a factor of b. So you could write (2c+a)(2c-a)+b(2a-b)

[@zoeduncan2585]

holy H! Thank you 1000 times! I tried to do these on my practices for class ..fail..watched this and took notes and just managed to work my way through to a correct answer. I did not have to take Alg to graduate high school (1991) and some of this is my first time laying eyes on it. I have already shared this channel with my teacher and counselor friends.

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[@hoorgasser2439]

Thank you, thank you, thank you, your factorization videos are awesome. my daughter in grade 8 & we were in a great mess. but now we can do it just like this. thanks to you.

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You are so welcome...glad you found this channel helpful! And THANK YOU for being an involved parent who takes the time to help their student...makes our job alot easier:) Don't forget to subscribe and share with all your friends with kids.

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This is probably the best explanation I've come across, thank you so much!

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You are so welcome! Thanks for studying, subbing and the compliment...please tell everyone you know to watch and do the same:)

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Thank you so much, Mr, Tarrou! You are a GREAT teacher who makes learning fun and easy. I have learned so much from you and am happy to say I am at the top of my class. I am so grateful for your help.

[@profrobbob]

CONGRATULATIONS!!! There is no better compliment than that Ramie Johnson ...and there would be no "me" without students like "you" who put 110% into their education and make teaching so rewarding! I too, am grateful for students like you..."If you can dream it, you can do it" ~ Walt Disney

[@dirtblockandfriends]

I have been so lost on this unit and this video cleared it all up for me and now i'm actually confident going into a test. great job

[@profrobbob]

+dirtblockandfriends thanks for watching, studying and subbing too!

[@rhiannonarcherelle6116]

Thank-you for such a clear and precise breakdown! As well as energy when instructing.... instructors that lack vigor in videos tend to put me to sleep. Excellent assistance!

[@profrobbob]

+Rhiannon Archerelle BAM!!! Thanks for choosing my channel to study with and sub to, glad I could keep you awake:)

[@kushagrabhatnagar9380]

Dude you're so helpful. The last couple of math tests I have been failing so much and your channel and videos have helped me improve my grade to an A+ and this really helped me. Thanks man>

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CONGRATULATIONS and "Thanks" for putting in the time to seek outside help and study with Tarrou's Chalk Talk! Don't forget to take the time to like, subscribe, support the ads and share this free resource and your success with your teacher and the head of the math department at your school so ALL current and future students have the opportunity to benefit from this free channel...BAM!!!

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Thank you so very much your videos are so clear it's very easy to understand them and it's helping me a lot thank you

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Mabel Valdez you're welcome and thanks for watching, studying, liking and subbing:) Glad they are helping!

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Amazing! I'm not failing this term thanks to you ProfRobBob. You have one more sub.🙏🏻👌🏼

[@profrobbob]

Thanks for the support and for taking the time to study!

[@jenniemarie25]

I finally understand a little bit thank you for teaching us.God bless you.I will have a quiz about Group Factoring tomorrow that’s why Im here

[@profrobbob]

You're welcome and thanks for choosing this channel to study with...I hope you passed that quiz like BAM!!!...and after you do, please help us grow by sharing this channel with your teacher so all the current and future students looking for after class help will know where to find us! THANKS:)

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Thank you so much! Your videos an invaluable resource to those who have trouble with math, like myself:)

[@profrobbob]

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[@malfoie5776]

Thank you very much!! I understand it more clearly now!

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[@whitwalker7972]

Let’s go!!!!!!! Now I’m not going to fail my math exam!!!!!

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That's the kind of positive attitude we like to hear Whit...BAM!!!

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Im in 1060 right now and man your videos are helping a lot ! ThAnk you prof Rob

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[@jmyname8290]

Love the step by step explanation. Definitely helped.

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[@chadmariajohnson8382]

When I first started this video I was confused, but by the time the first example was over. I totally got it! I paused the video and I was able to resolve the second example! ALL BY MYSELF (well with your help:) ) Thank you!!!!!!!!!!!!!!!!!!!!!!!!!!

[@profrobbob]

AWESOME Chad & Maria Johnson ...makes a teacher proud to hear from such motivated, excited students...BAM!!!

[@naggingvermin]

This was actually helpful, thank you, Mr. Teru.

[@profrobbob]

You're welcome nagging vermin and thanks for watching and liking. I hope you'll return the next time you need help then you can subscribe and share my channel with others:D

[@overhauloddz]

Thank you! You have no idea, I looked at so many videos today.... Last but not least I found yours, now I can finally do my homework lol Very helpful!

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You're welcome. Don't forget to sub and share it with everyone you can so they won't have to take all the time you did to find it...BAM!!!

[@chitradevi4382]

Your teaching is going to give me a 'o'grade in my examination.Thanks a lot!!!!

[@SeeItQuick]

Thank you for explaining how the last part are two terms and we just continue to factor. Great work sir.

[@profrobbob]

You're welcome and Thank you Steven Ybarra ...I hope this will earn me another subscriber...BAM!!!

[@SeeItQuick]

U got it!

[@profrobbob]

Steven Ybarra AWESOME! Thanks for the subscribe and I hope you enjoy learning from #ProfRobBob :)

[@blindbyakko]

This was incredibly helpful! I've been trying to teach myself math while i'm on break at work(limited amount of time for studies) ,and the book i have is poorly written. I've been having a hard time understanding and it's really hindered my progress. I think i can finally answer some of the questions in the booklet! I'm so excited for my break tomorrow at work, so that i can do some math!

[@profrobbob]

Glad to hear you found my lessons so helpful. Thanks for liking, subbing and studying "during your break" with Tarrou's Chalk Talk! Very admirable thing to take on. Watch out, before you know it you'll be shouting out BAM!!! too...lol

[@acisner86]

Thank you very much. This video was extremely helpful to finally learn factoring by grouping. Great examples and explanation.

[@profrobbob]

Adan Cisneros you're very welcome and thanks for watching, learning and liking! Please subscribe and keep telling others to watch and do the same:D

[@marihanbadr1271]

Sir, you have my utmost respect and gratitude. YOU ARE AN AMAZING TEACHER!!! Thank you so much seriously this helped a lot! This also really helped as revision for my SAT!

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I don't know what topics are in grade 12 Canadian math, but I have a lot of Canadian subscribers. I have 334 videos now...I hope some of them will be helpful. Precalculus, first four chapters of calc, trig, statistics, geometry.

[@williamrotroff4313]

Your choice of clothing is dubious Your handwriting is absolutely beautiful I learned quickly through your simple explanations Thank you very much.

[@profrobbob]

You are very welcome William Rotroff ! Thanks for taking the time to compliment my efforts. Please Like, Share and SUBSCRIBE to help my channel groW and help everyone:D

[@seanpopsnop123]

Thanks man your tutorial is helping me alot on my EOI. I always was confused about factoring

[@profrobbob]

Thanks for choosing Tarrou's Chalk Talk to watch and learn from...glad I could clear that factoring up for you:) Please Like, SUBSCRIBE and spread the word:D

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PLEASE KEEP THE VIDEOS COMING!!!! IT REALLY HELPS!!!!

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+Johnmark Alfonso thanks for watching, studying and subbing...please keep spreading the word, remind them to like, sub and share to help this free educational channel to keep growing and remain free:D

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I sure will!!!!! Thanks again! Greatly appreciated!

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+Johnmark Alfonso that would be great!!!,,,only 1,626 subscribers needed to finally break that 100,000 goal...BAM!!!

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I`ll make sure to spread the word to my classmates!!!! BAMxy

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+Johnmark Alfonso thanks!

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You just made my life a lot easier!! Thanks

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You're welcome and thanks for watching! Please sub and share to help us keep growing and helping others:D

[@GuitarheroWWEduh]

Mr. Tarrou, I love how you say "BAM!" In almost every video, and I have a semester final test today in Algebra 2 and this helps a lot! Thanks :D

[@DE4ever1000]

Thank you! I paid 117 dollars for a math program for college and KZbin helped me more then that did.

[@profrobbob]

Glad to hear we could help and THANKS for watching! Please help us keep helping others by taking the time to like, SUBSCRIBE and share the free educational channels that help you...BAM!!!

[@profrobbob]

Now Closed Captioned #math Factoring by Grouping

[@CoolStuff-yr8ye]

It should be (6x-7) (x^2+1).

[@CoolStuff-yr8ye]

Kristian Garcia No

[@dustydecker]

Amazing instruction, thank you so much!

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You're welcome...thanks for watching and please sub and share this free channel with everyone:D

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Great Video, Mr. Tarrou! Thank You!

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You're welcome...thanks for watching!

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Thanks a lot and lot because my teacher has taught only one sum that was not understandable for me and all of my class mates.But now i can understand the concept.If you have any website for maths please give it to me,I am sure that i will visit.Once again thanks a lot.

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You can visit www.profrobbob.com and thanks for watching! Please SUBSCRIBE and share this channel too:D

[@leomarditorres4323]

Your are awesome. I understood this topic clearly; thanks

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You're welcome..thanks for watching and please share and SUBSCRIBE:)

[@kj-fh1mm]

Thank you. My teacher makes this look like rocket science

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Thank you very match ,these videos are so useful ,thank you ❤

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You're welcome and thanks for studying and subbing too!

[@nathanfriel9107]

Much easier to understand than the other stuff I found.

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Thanks for studying and subbing!

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great video, you can thank my teacher for sending me this :)

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THANKS for learning...I'd be happy to thank your teacher myself but since I don't know who or how, maybe you will THANK them for me!!!..or have them send a comment themselves:)

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Thanks so much bro , it really helps a lot keep up the good work ... Oh nice T - shirt

[@profrobbob]

Unique Burgess you're welcome and thanks for watching!Thanks, my wife keeps my closet well stocked with funny shirts:)

[@nazreenbanu6675]

Awesome. Explanation was simple

[@profrobbob]

BAM!!! Please sub and share too:D

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I love the way you teach !❤️

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Thanks Alexa...please take the time to like, sub and share my channel with everyone, especially your teacher so all current and future students know where to find free help and we keep growing...BAM!!!

[@MsTammyG]

ProfBob can you do a video that shows factoring by grouping where you have to rearrange the terms?

[@profrobbob]

+Tammy Smith can you give me an example of a problem you are talking about?!

[@cherokeehernandez9748]

Prof rob bob is dream boat 💖💖

[@profrobbob]

Thanks for studying and subbing!

[@evandroaraujo5206]

I changed the order of the terms to 6x³+6x and -7x²+7 and then factored like this 6x(x²+1) and 7(-x²+1) (where I divided by 6x in the first factor and for 7 in the second factor) and I got the exactly right answer! Is it coincidence or the method is correct? Thanks, you changed my mathematics life, greetings from Brazil.

[@profrobbob]

Yes, you can change the order of the terms before factoring by grouping:D Except you copied the problem incorrectly from the video, it is 6x³+6x and -7x²-7 and you have 6x(x²+1) and -7(x²+1) for your next line of work. Thank you very much for choosing to watch my math lessons and your kind words... from Florida:)

[@hishamyounus9984]

Earned a sub man. Thank you sooo much heped me a lot.

[@profrobbob]

You're so welcome and thanks for the sub...please tell your friends, classmates and teachers to watch and do the same and help us keep growing:D

[@chadmariajohnson8382]

I hope you don't mind a question! On 6x^3-7x^2+6x-7, can you rearrange the terms? I am asking because if we pair 6x^3+6x and then -7x^2-7, It's much easier to find a common factor. Is it allowed? I am getting the same solution in the end, but I wanted to make sure! :) Thank you! Maria.

[@profrobbob]

Yes you can reorder the terms before factoring by grouping. I set up that problem to show that at times you will need to think about factoring out a 1 to finish the factoring by grouping. You are welcome! Glad I can help.

[@jamesballard4862]

Thanks so much got an A on my test!!!

[@profrobbob]

+James Ballard you're welcome and CONGRATULATIONS...sounds like that deserves a like, subscribe and the sharing of this channel with all your friends and classmates too:D

[@BriellaFendi]

Finally I understand thank you so much

[@profrobbob]

+TheKikikiwi32 BAM!!!

[@katiastephenson1198]

Thank you so much this helped a lot

[@profrobbob]

Thanks for liking and learning...please sub and share too:D

[@kyte5017]

I understand it now thank you!

[@profrobbob]

...and did it make you want to shout BAM!!! ?! You're welcome...lol Thanks for choosing us to study with...be sure to sub and share with everyone:D

[@shaumwilliams7027]

Finally!!! Thank you!!!

[@profrobbob]

...you're welcome!

[@alonzouu8545]

This is so helpful! i hope you were my math teacher lol

[@profrobbob]

That's great and Thanks for watching! Don't forget to like, subscribe and share this free channel with everyone...friends, classmates, parents and teachers too...BAM!!!

[@Vaughni876]

if only this man knew how much he helped me :)

[@profrobbob]

+gio levers he knows:) Thanks for studying and subbing too:D

[@hugoisraeljeronimopablo4727]

Fabulous thank you so much god bless you

[@profrobbob]

You're welcome...thanks for watching !

[@capostatus937]

this helped a lot thanks

[@profrobbob]

+capostatus937 you're welcome...thanks for watching, learning and liking, please sub and share too:D

[@haneenaly7095]

Wow I just really understood it all thanks alot

[@nicolechavez8920]

Is (y-b)(x+a) a probable answer because I'm answering my assignment and the signs are confusing me in this lesson... Oh and the equation is "xy+ay+bx-ab" incase you're wondering...

[@jonathancheng3976]

How about when the terms aren't easy to work with and you have to split up terms to be able to factor it by grouping? What would be the strategy for that?

[@profrobbob]

You're welcome...By the time you read this I'm sure you already passed you test like, BAM!!! Thanks for choosing my channel to watch and learn from:)

[@najouakharmach9972]

Mr ProfRobBob I appreciate your answer , what about factoring it using imaginary numbers. a^2 + b^2 = (a + bi)(a-bi).

[@profrobbob]

+Najoua Kharmach I have never seen that in any of the books I teach from. I looked it up:) Pretty cool.... you taught me something! BAM

[@lihongming1]

How would you factor this kind of problem if there are only 3 terms with term x^2 part missing in the equation？ Your lesson helped me to do all the problems, except this one. f(x)=4x^3-13x-6

[@profrobbob]

That expression is not factorable...unless I am missing something.

[@shlam3inc708]

very helpful!

[@profrobbob]

BAM!!!

[@ShtraddaG]

what if the two parentheses don"t match? i have a question that is 3x^3-6x^2-300x+1800 ---> so it would be 3x^2(x-2)-300(x-6). now what do I do? would it be (3x^2-300)(x-2)(x-6)?

[@YourMaverick]

Thank you so much!

[@nancywranovsky5497]

thank you thank you thank you, man you are good

[@profrobbob]

You're welcome...thanks for studying and please take the time to sub and share this free channel with your class and teacher too:D

[@nancywranovsky5497]

Telling EVERYBODY!!!

[@profrobbob]

BAM!!! That's what we like to hear:) Don't forget to remind them to like, sub, and share too...thanks!

[@q3a2]

Thank you! You're a life saver

[@profrobbob]

...and thanks for liking and subbing!

[@beautywithb.8515]

Thank you so much this video was so much help😊

[@profrobbob]

You're welcome...please like, sub and share this free educational channel:D

[@ludwikd]

This is awesome, great video.

[@profrobbob]

Thanks for watching ...please take the time to like, sub and share this channel with your class and teacher too...BAM!!!

[@reginaldwaye8423]

Thank you so much.

[@profrobbob]

+Marvels 52 you're welcome!

[@tarashetterly7019]

Bro I’m in Algebra 2 and trig honors and I’m trying to review everything for my final and this is explained TOO much 😂😂😂

[@profrobbob]

You can use the settings button and watch the video with 1.5 to 2 times speed. You will have a great review and I will sound like I sucked helium:P Hope you do great on your final. Here are my Alg 2 lessons by chapter, www.profrobbob.com/algebra-2

[@RakeshMurugesan18]

How would you solve: 3x^3-2x^2-61x-20, I have been working on this but I can't seem to get an answer. Please help and shown work would be great Thx

[@eugenepadlan6951]

Thankyou verymuch

[@profrobbob]

You're welcome...Thanks for watching...please sub and share too:D

[@danielladistefano216]

This helped a lot. Thanks!!

[@profrobbob]

You're welcome...please like, sub and share:D

[@harshitapunni6230]

Thanks

[@profrobbob]

Thanks for watching! Sub and share too:D

[@yain5221]

شكرا لك يااستاذ على الشرح

[@profrobbob]

+‫هاجر الهاجر‬‎ على الرحب والسعة. Just trying to say...you are welcome!

[@yain5221]

+ProfRobBob ممكن حل المسائله الرياضية

[@yain5221]

+ProfRobBob Please help Possible solution 5x-3)^2 =-3 ) quadratic equations ??????????????

[@profrobbob]

+‫هاجر الهاجر‬‎ You can square root both sides. Of course square rooting a negative number is going to give you an imaginary value. The square root of -3 is SQRT(3)i, and then you add three to both sides and then divide by 5.

[@jeredotexe]

Great video. Thanks alot!

[@profrobbob]

Thanks for watching...don't forget to sub and share too:D

[@jonton12swee]

Thanks Professor, great examples!! Really helped!!

[@profrobbob]

You're welcome Jonathan Amante thanks for choosing #ProfRobBob to watch, learn and subscribe to! SPREAD THE WORD :D

[@lucas503]

thank you , very helpful

[@profrobbob]

You're welcome...please like, sub and share too:D

[@TreasureCliff]

Thank You

[@profrobbob]

+Treasure Dj Cliff you're welcome, thanks for watching!

[@SSky.]

On the Example question what happens if the -2x+-5 is all positive ?

[@serenity5679]

Awesome! New subbie!!

[@profrobbob]

THANKS!!! Please continue to share your new find with everyone...BAM!!!

[@peepoish]

on example three your answer wasis (6x-7)(xsquared-1). so is it wrong if i wrote (6x-7)(x-1)(x+1)

[@faithbilas6244]

But if we do for the third and fourth example are we supposed to take out the hcf

[@jarrymedequillo9441]

Thank you very much😍

[@sabrinanardone5854]

Hey can someone help me with this real quick. If the problem is x^2 - y^2 - 4y - 4 (x squared minus y squared minus four y minus four) can I group together the y squared and the four y and then he x squared and the negative four? I feel like that breaks some of the rules of math but I don't really know what else to do with this problem. Thanks in advance for any help!

[@persianshawn92]

at 9:12 you say you want them to be "positive". Why? When do you know when to have a minus sign or positive sign there?

[@profrobbob]

+Shahin Sateei When factoring by grouping, if it factors by grouping, you have to match the expressions in the parenthesis. Since we already have 2x+5, we need that again from the last two terms of -2x-5 so we factor out a negative one.

[@smokelaganj]

ProfRobBob Awesome videos man! They have really been helping me through this factoring stuff, and soon to be radian stuff. having trouble though with my with a lesson label "Solving Polynomials: Factoring". i think ive watched just about every one of your factoring video but cant find anything on this. it even looks like they want me to write a polynomial equation from sets of roots, one set contains nothing square roots being divided (which i thought were imaginary numbers). tried asking the teachers at school but they dont make any sense and i end up being more confused. Any suggestions?

[@profrobbob]

Try this:D Finding polynomials using the Linear Factorization Theorem Thank you for watching and your support!!!

[@hfdoukh527]

Thank you for your help+++++++++++++++++++++++++++

[@profrobbob]

+HFD OukH you're welcome, thanks for watching and liking please sub and share with others too:D

[@opg_pro9274]

m^3 - 2m^2 - 4m - 8 Help!! is it just not able to factor??

[@ericchhun8116]

would it be right if I got (2x+5) -(4x^2-x) for 8x^3 +20x^2-2x-5 or why is it supposed one there. Is it because of the 4x^2

[@mlzae248]

hey mr tarrou tnx for the tutorial :) but i have a question, how can i factor this "4c^2-a^2+2ab-b^2" ? will u help me pls :) haha tnx

[@mollykinney9164]

you have beautiful handwriting

[@profrobbob]

I have a video teaching that too:)