Long Division of Polynomials

I introduce long division and go over two examples. I also preview how long division will allow you to solve higher order equations.
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

[@jelrep6485]

Thank you very much for making this video! It helped me understand the lesson better than the day it was discussed to us in school. God bless you for the efforts you are pouring in to these lessons, you surely deserve more recognition! :)

[@profrobbob]

You are very welcome and thank you for your support and appreciation!...sorry it took so long to thank you but we hope you will continue to find this channel helpful and keep spreading the word to help us grow and get the subscribers and recognition you spoke of...BAM!!!

[@profrobbob]

And THANK YOU for supporting by subscribing...now that you know where to find me I hope I can continue to help you get through that on-line class:)

[@locomocobananasuper]

My teacher told me there's no way I'm passing pre-calc on the third day of classes this year. These videos are going to help me prove her wrong!!!

[@profrobbob]

Heck yeah we are, saying BAM!!! as you earn those A's:) Obviously you have the work ethic to get the extra help you need and determination to get the work done.

[@locomocobananasuper]

Thank you!!! That's super encouraging to me.

[@profrobbob]

You will...just keep that positive outlook and keep watching my videos and together I think we can make your teacher want to say: "BAM!!! I should share this channel with ALL my students!"

[@donnichols3680]

Lydia Balogh s

[@profrobbob]

But after you've watched a few videos you'll know that there is always more where that came from:) And what a nice thing to say...students like you are the reason I keep working so hard at making my channel successful! Thanks for choosing Tarrou's Chalk Talk to learn from and please continue to share your experience with others and let them know where to find me:D

[@profrobbob]

I am glad you liked the video. Did you get an answer to your question yet? I could give you the answer but step by step will be tough in a comment box. You need to match the first terms as you work through the division process...the first term of your answer is 2x. If you still can't get it you can send me a message through my Facebook page.

[@0xxEMExx0]

Taking math 98 after a 25 year break from school has left me feeling like my text book is written it in spanish! I appreciate the time you take in your videos and that I can watch it over and over until I get it! Thank you very much!

[@silverose1209]

I LOVE hearing the chalk on the chalkboard. Takes me way back. ;)

[@profrobbob]

Me too...I LOVE my chalkboards:) Thanks for watching and subbing Amy !

[@profrobbob]

My Long Division of Polynomials #math lesson is now Closed Captioned.

[@ssonicmoumed]

Pueeehh Mr Troue, thank you so much, I am already over 30 years old and decided to go back and get a degree, your work help me a lot !

[@profrobbob]

...you don't look a day over 2:) Thanks for watching and congrats on going back to get that degree, I know it's a big step back into the classroom. I hope you continue to find my channel helpful thru your journey and please take the time to subscribe and share when you can:D

[@axftyh]

THANK YOU SO MUCH MAN I GET IT NOW!! MY TEACHER GOES SO FAST THEN GETS MAD WHEN YOU ASK HIM TO SLOW DOWN!! MUCH APPRECIATED SIR!!

[@profrobbob]

You are so welcome axftyh :) Thanks for choosing #ProfRobBob to watch and learn from. Please help support my channel by Liking, SUBSCRIBING and sharing it with friends, classmates and your teachers, as an additional study reference!...and that would be "much appreciated" from me...BAM!!!

[@Stefan6.7]

i never thought i would; but i finally do understand how to do long division!! thank you so much!!

[@profrobbob]

You are so welcome Stefan Unruh and thanks for learning from #ProfRobBob ! Spread the word and SUBSCRIBE :D

[@profrobbob]

THANKS...That's AWESOME news! That's why I made them in the first place...to help students, I never imagined that they would help a fellow teacher as well:)

[@louisamaljers888]

You've honestly done a better job explaining this than my math teacher has done in months. I was stressing about a test I have in two days and ended up finding your video which helped SO MUCH. Honestly thank you so much for this video!

[@profrobbob]

You're welcome Louisa and thanks for studying and subbing too! Please share your success and my channel with your teacher after you pass that test like BAM!!!

[@chelseanikiforuk1086]

your handwriting is the most beautiful I have ever seen and thank you so, so much for doing this. there is a special place in heaven for you. sincerely, struggling precalc student

[@quintendutoit2939]

I wish my Math teacher could explain as well as you do. All of your videos are GREAT!!! Really takes a load of my mind for the upcoming exams after discovering your videos, I never thought someone would do such a thing... Thanks for proving me wrong :D

[@profrobbob]

And THANK YOU Quinten for taking the time to seek extra help and choose my channel to learn from! I feel that everyone deserves a free education who is willing to invest the time in learning:) So consider my videos an investment in the future and please share your experience and my channel with everyone!!! ...and remind them to support and SUBSCRIBE to educational channels like mine:D

[@georgesadler7830]

Professor RobBob ,thank you for a well explained video/lecture on Long Division of Polynomials. This topic is fairly simple to follow with some basic guidelines. In example one, there is an error, you have 10x, instead of 10x squared in the long division process.

[@michaeldouglasmilne9767]

Yep I like the way you explain things that seem to have nothing to do with the question in hand (ie that 8/2=4 with a remainder of 0. Zero because 2 is a factor of 8). These extra explainations ensures the teacher not only explains the answer but helps you to understand why you got the given answer, and that that is what math and learning is about. I am a teacher (15 years expereince) and have just started learning math and physics at university because I want to change my direction in teaching and I have always liked maths and have always found it a challenge. People like you who spend the time to publish these videos really are good people. Thanks a lot, really. Mike

[@profrobbob]

It's always nice to hear positive feedback and praise from a fellow teacher. Thanks for choosing #ProfRobBob to re-learn math from...I hope it helps you get one step closer to finding your new direction in teaching. You're welcome Michael Milne ...I never dreamed when I started this channel that I would still be making videos almost 3 years later. I still love classroom teaching after 19 years but KZbin takes teaching to a whole differant level. Good luck as you move forward with your studies...there can never be enough passionate teachers to fill students minds with knowledge.

[@profrobbob]

You're welcome...Good for you to seek out additional help and not just give up! I hope you will continue to choose my channel for any extra help you might need:)

[@Ryder5172]

I realized I was over looking the minus in front of the parenthesis when subtracting, thank you for bringing that to my attention now I totally understand where I've been going wrong in my work.

[@profrobbob]

BAM!!! Thanks for choosing and learning from #ProfRobBob ! Don't forget to lie, subscribe and share my channel with others to help us keep growing and helping others:D

[@keithhudson3138]

I'm about to retake Precalculus again because I feel ill the first time just when we started learning trigonometry. I am going through your entire Precalculus lesson. Thank you, Sir!!! You are a godsend.

[@profrobbob]

You're welcome and thanks for seeking outside help and choosing this channel! You might find it easier to search on my web page at www.ProfRobBob.com Please like, sub and share this free resource with your teacher and classmates too and go pass that class like BAM!!!

[@probecteus3048]

Thank u ProfRobBob u make mathematics so interesting and fun.i can't thank u enough of changing my view of mathematics.

[@vrajeshc]

Before I came to ur channel I was trying hard to learn algebra for my daughter now i am enjoying it with. I am really thankful to u.

[@profrobbob]

Thank you for the EXCELLENT comment too...I hope you keep watching and learning:)

[@profrobbob]

I'm happy to hear that it helped you better understand...that's why I teach and do these videos:)

[@profrobbob]

Thank you for being such an amazing parent who cares enough to get involved with your daughters education! I have been a classroom teach for 18 years and if all parents showed such interest it would make teachers jobs a little less stressful:) Thanks for sharing your story and please share my channel with other parents and teachers and keep spreading the word about Tarrou's Chalk Talk!

[@aramehpatrikyan5407]

I literally don't know what I would've done without this video XD

[@profrobbob]

Happy to help...please take the time to like, subscribe and share this channel with your teacher and class so everyone knows where to find free after school math help...BAM!!!

[@cyborg244]

You are amazing. Best Maths Teacher IN THE WORLD. thank you for uploading all your videos they help so much. You have no idea how much they help. thank you a million times over.

[@profrobbob]

You're welcome Simeon! Thanks a million for watching and subbing...please take it a step further and spread the word about your experience and my channel to the world, take advantage of all the social media you can and tell all your friends and classmates so they can all get FREE math help when they need it! Hopefully, they'll be "thanking YOU"...BAM!!!

[@MarkWadsworthYPP]

Superb blackboard technique! You can write over your shoulder and it still lines up!

[@profrobbob]

THANKS!...23 years of practice now:) Please sub and spread the word:D

[@dylanmuller2611]

Rob Bob I just watched like 5 videos of teachers trying to explain this and this is the one that made it stick so YOU ROCK MY SOX!!!!!!!!!!! :)

[@eliminshrintar]

This was so simple thanks to you. My current professor managed to completely mangle this easy concept. Thanks!

[@profrobbob]

You're welcome eliminshrintar thanks for choosing #ProfRobBob to learn from! please like, sub and spread the word:D

[@michelleparis8581]

Your explanation for this is better than any other video I have watched this morning. Thank you Thank you, Thank YOU!!

[@jcwilliams01]

Thank you so much for all your time and the excellent videos, sir. I hope you don't mind if an old guy watches along! Algebra after 36 years is a big challenge, but you clear it up nicely. Thank you! JC Williams

[@profrobbob]

JC Williams We are never too old to learn, age is JUST a # and you're only as old as you act:) Thanks for subbing and choosing #ProfRobBob to learn from and we look forward to hearing about your progress...maybe you'll even share with some friends:D

[@steelpanther88]

This was an excellent video, and especially suitable in video format for this type of math technique. I once had done a long division of a polynomial because I originally had a limit of a rational function. I wanted to see whether or not I could get cancellable rational expression so that I could get rid of the denominator, and find the limit by plugging in method. My polynomial long division was really messy because I did not have those 0*y^4 style terms in my style!!!

[@Thirst4livingwater]

your the best educator of mathematics. ive been watching learning from you since trig, last semester. now im in pre-cal and the math teacher is worse^2. THANK YOU , BAM!!!

[@profrobbob]

Thank you. That's AWESOME Fester MP (the watching part not the teacher part:) Nice to hear that you are still watching and supporting my channel! You're welcome and please keep spreading the word and helping us groW to help others...BAM!!!

[@profrobbob]

You're welcome...and THANK YOU for subscribing! I hope by the time you read this you went in and passed that test with your new found confidence:)

[@dan199122]

You saved me hours of headaches....you are a miracle worker lol......you made it much clearer for me

[@profrobbob]

BAM!!! dan199122 thanks for watching and learning:)

[@FunnyProductions24]

I have a final exam tomorrow and your lessons have been great at refreshing me on lots of stuff I had forgotten. Thanks!

[@profrobbob]

Thanks for subbing FunnyProductions24 and I hope you go pass that final like BAM!!! You're welcome and come back anytime and bring all your friends!

[@wisamar1113]

This is the best way, I know how to do this in a different way, but this is the easiest way to do. Thank you so much sir.

[@profrobbob]

You are so welcome Wisam...and thanks for studying and subbing! Please share this free study resource with all your classmates and teachers too...thanks!

[@profrobbob]

Thank you very much. I hope you do great in your class...and I have enough videos made so far to continue to be helpful:)

[@darknyx3128]

I hadn't seen a division bar in so long that I actually forgot what it looked like! Anyways, thank you so much for these videos I'm trying to learn Algebra 2 over the summer in order to concentrate on my AP classes next year and you are truly make everything sound amazingly simple!

[@profrobbob]

Happy I could help DarkNyx ! Keep up that self-motivation and you'll see that all that additional learning will pay off when you are up in front of the class working out the problems and impressing your teacher with your math skills...BAM!!!

[@profrobbob]

Normally what you are dividing by has a lower degree than what you are dividing into. Am I reading right you are dividing by p(x) which has a degree of 2 into a function with a degree of 1?

[@7quantumphysics]

Thanks! I was never taught this form of long division and suddenly I have to know it for calculus 2. This helped a lot!

[@profrobbob]

Great to hear! Thanks for choosing, liking and subbing...I really appreciate the support and hope you continue to share my channel and your experience with everyone you meet looking for FREE math help:D

[@samshackleford6981]

Man can teach math and flex on yall with his gold chain

[@chrisyoung8123]

Couldn't do this stuff without your help. Thank you!

[@profrobbob]

You're welcome...please like, sub and share this free educational channel with friends, classmates and especially teachers:D

[@profrobbob]

THANK YOU PeanutBudda! I'm glad my passion for teaching shows thru on my videos…and I hope you will continue to share my channel with others in the efforts to help my channel groW. And be sure to remind them that it's important to SUBSCRIBE to help educational channel growth!

[@ccovington552]

Helping me in Calc II with this! Never was taught this in precalc. Thank you so much!

[@profrobbob]

Maybe you were absent that day...lol Good to hear from you again...how much longer till you graduate? I hope I have enough videos till you do so we can be proud of you when you do...BAM!!!

[@GBCR]

Wow, great teacher! Very clear and detailed teaching!

[@profrobbob]

THANKS! Don't forget to sub and share me with everyone...BAM!!!

[@AE-vu9rz]

omg thank you so much. i had no idea what my teacher was talking about earlier today! this helped a lot.

[@profrobbob]

@kidmzuri Thank you very much:) I appreciate this comment as much as your first one. I really wish I could get through the videos without making these small mistakes...but my brain and my hand don't always get along. I put a note box over that mistake.

[@mumpo101]

absolutely love these man. Im taking pre cal and I've never taken algebra 2 so I've needed to catch up and these help so much.

[@tallonna8700]

I totally understand! Thank you! I hope you make a video about common mistakes that people usually do in Mathematics!

[@profrobbob]

factor a -1 out of the numerator and 6 out of the denominator -(x-3)/6(x-3) and then you get -1/6

[@HenReviews]

Thanks profrobb you're the best ! I had been looking for how to do that second example you did and this was really helpful, i have a test on this tomorrow so thanks a lot

[@NilsLund]

Every time you erase that capital cursive calligraphy you do, it hurts a little. It's more than made up for by how helpful your videos are though. Thanks so much! For every happy comment on your videos, there are a hundred more happy students because of your videos. I know I am!

[@Akiithebest]

We need more teachers like you sir! Great enthusiasm and passion for teaching, thank you for your service. Please continue :)

[@profrobbob]

Thanks for choosing my channel to watch and subscribe to!

[@psgamemaster]

long time watcher, big fan as usual. I know it's an old vid but I noticed on the last example, the origonal problem was y^5 - 3y^2 +20 / y - 2. I noticed when you rewrote the equation, the +20 became a -20. I did it both ways but the -20 got to your same answer so I think I got it.

[@profrobbob]

+psgamemaster Thank you..that is a miscopy on my part. Sorry for the error:( Glad you hear that you worked out the problem both ways though!!!! Awesome.

[@profrobbob]

haha:) My kids really start looking forward to what shirt I am going to wear on Fridays. Thanks for watching my videos.

[@profrobbob]

I am really glad I can help. I hope you do great in your class. Please help me by spreading the word:)

[@angelicavolio]

you're amazing at explaining! thank you so much!

[@profrobbob]

You are so welcome and thanks for studying and subbing Angel! Please tell all your friends and classmates to watch and do the same and please share this free study resource with your teacher too:D

[@timothylokotkov9951]

Thanks a lot for clearing things up, and keep up the good work.

[@profrobbob]

You're welcome Timothy lokotkov thanks for liking and learning don't forget to subscribe and spread the word:D

[@cupcakeangel365]

Omg thank you so much you helped me so much after 5 minutes of you explaining the problem I get it now. I take online classes and the lesson was confusing me thank you for the help :)

[@andrewm6424]

One thing I’m not seeing mentioned in this video. You also have to set the denominator to zero so you know what the variable can NOT be under any circumstances in the long division problem. (Ex: In the 2nd problem where you divided into “y-2” y can never be equal to 2 because that would result in a denominator of 0, which is impossible to divide.

[@abdirizakmaalim7321]

ProfRobBob may God bless you.wonderful work

[@profrobbob]

Abdirizak Maalim thank you for watching, subbing and your appreciation!

[@penelopebencosme3950]

you're an EXCELLENT helper/ teacher!

[@lxQuesT]

Awesome teaching skills, easy to comprehend! Was super confused with this because my teacher wanted us to learn both Long Division and Synthetic.

[@profrobbob]

THANKS! Good for you not giving up and taking the time to seek out help on KZbin! Please spread the word and SUBSCRIBE to help my channel groW and help others like you who want to put in the effort and make the grade count!

[@Hawkeye10000]

I would like to know what's the practical application? If I understand that, possibly I'll learn faster and use them better. Also thanks for being such a wonderful educator. Have a beautiful day ahead!

[@rache1sc123]

Excellent video! You explained the concept so well. Thank you very much :)

[@profrobbob]

Rachel C. you are so welcome and thank you for watching, liking, learning and subbing!

[@erinmitchelabadilla8249]

I really like your videos..... and I'm really grateful ... I even got a perfect score in my mathematics quarterly exam.. :)

[@profrobbob]

BAM!!! Keep up the great work:)

[@michaelholder5975]

Thank you for making all of your videos to help students such as myself. I am a computer science major and I am trying to create a program that performs polynomial long division, however I was wondering if I should let pi and Euler's constant be a part of coefficients? After searching for definitions of polynomial division, I have an understanding of what a polynomial is, but not what a polynomial can have in it as well as allowing inputs of polynomials that have more than one variable. Also, I was wondering about imaginary numbers. I would like to make my program as symbolic as possible. Thank you again, very much for all of your help and dedication on making math easier to grasp.

[@ModyKhan]

Awesome. Thank you Prof. RobBob!

[@profrobbob]

You're welcome Mody Khan please be sure to like, SUBSCRIBE and spread the word about my channel too!

[@jordanperez8055]

Thanks ProfRobBob, I made the mistake of taking College algebra over a summer semester and I would not be passing if not for your videos!

[@profrobbob]

You're welcome Jordan Perez ! Just think of the positives...you have #ProfRobBob as a teacher and you will have completed this class so much quicker and it's one more class you got to out of the way this summer:)...BAM!!!

[@jordanperez8055]

Haha, good points!

[@profrobbob]

THANKS Dylan...I hope you won't have to waste your time watching all those other teachers now that you found my teaching so helpful...lol And do your friends a favor and save them the time by sharing my channel with them:D BAM!!!

[@kyruke]

Having to revisit this for integrals thanks

[@profrobbob]

Thanks for returning kyruke :)

[@chrisgryckiewicz1664]

Subscribed!, you helped me a lot. Thanks a bunch.

[@profrobbob]

Chris Gryckiewicz you're welcome a bunch and thanks for choosing my channel to learn from...BAM!!! Spread the word:D

[@NatalieMarie318]

you have everything on your channel wow this is helpful

[@TheBigDaveB1]

Excellent, Thanks for explaining the remainder bit!!

[@profrobbob]

+David Brown you're welcome hope this will gain me a sub:)

[@Complexanxiety]

THANKS!!! YOUR HELPING ME TO ACE MY MATH CLASS.

[@profrobbob]

BAM!!! SPREAD THE WORD lawrence wilson and tell them to like and subscribe too!

[@profrobbob]

I have not heard that before!!! Thank you for watching and your support. I am glad I am able to save your math life:) Best wishes from Michael Bublé...haha

[@nicolemlang]

Hello! I think you said (in comment from many years ago) that you put a note box over the 10x that should have been 10x^2. I didn't see any note box. Maybe you could update the description of the video? Just a suggestion for when those little mistakes happen. (Nobody's perfect!!) Thanks for making so many amazing videos - I share them with my students often!

[@profrobbob]

I should just remake this video, along with many others. Yes, KZbin removed old annotations this year so all of my corrections are gone:( Thank you for recommendation:) I hope that your year is going well.

[@profrobbob]

I hope through my nice handwriting, occasional bad joke, and my videos I can help you become a struggling PreCalc student no more. I want you to be getting the A's and helping the other students catch up!

[@ChrisMoodie91]

Do you teach University outside of highschool or why do you call yourself a Prof? You are a great teacher, great refresher for school.

[@profrobbob]

+Chris M no i'm not a professor, I teach high school...that was a nickname when I was in college and when I started this channel (never dreaming I would still be doing this 4 years later:) that's what I choose for a channel name. Thanks for the compliment:)

[@supererikestrada]

Thanks for your video it help me understand this better!! Your video is better then another video on this!!!

[@profrobbob]

Wal-Mart...but you could make your own at "Vistaprint" or "CafePress"

[@profrobbob]

Of course I remember...glad to hear that you are still watching and enjoying the additional learning from Tarrou's Chalk Talk...how is Mr Oliver doing?...tell him I said Hello. Did you see me on NBC nightly news with Brian Williams on 7/1/13?...BAM!!! Now you can tell the class you got a shout out from a TV star...hahahaha Keep watching and sharing with others and keep those awesome comments coming:D

[@profrobbob]

also...thank you for subscribing. Please share my channel with your friends too:D

[@michaelmag1095]

You explain these lessons so well :- )

[@profrobbob]

THANKS...please sub and share this channel with everyone:D

[@profrobbob]

Congratulations. I am so glad I could help you\:D/

[@profrobbob]

Since it's been 20 hours since your post I'll ask...so how did you do?!....only positive thoughts to you from my end. (I hope you aced it!)....thanks for watching regardless:)

[@davepatrickmorales3824]

TNX IT HELPS ME TO LEARN

[@profrobbob]

Zboyrox on the mix thanks for taking the time to learn:)

[@JustForFun-gb8dw]

omg thank you sir....bring me back to life in maths awesome

[@profrobbob]

You're welcome..thanks for choosing and subbing! Keep watching and enjoying math more:)

[@JustForFun-gb8dw]

sure thing

[@profrobbob]

Vincent Chiew ...and don't forget to spread the word too:D

[@JustForFun-gb8dw]

i do what i can

[@JahonCross]

I always hated doing this cause the step are long and hard to understand you made it muxh better to know better =)

[@profrobbob]

If you continue to find this free educational channel helpful please like, subscribe and share it with friends, teachers and classmates:D

[@profrobbob]

You're welcome:) That's awesome...now you know where to start next time you need help!!!

[@celtics5930242011]

I have watch all your video and have understand algebra 2 alot better but thus one question ran into I watch your videos to find it but you don't have one it's over long division. (6x^4-3x^3-11x^2+2x+4)÷(3x-1) I work out the first step I got 6x^4-3x^3 -(6x^4-2x^2)

[@albertmaia7190]

Hi Prof RobBob I don't get it why polynomial long division is an extension of the integer long division, can you explain how to compute a long division of an integer written in polynomial form?

[@shirwachassanafrah6809]

What the excellent teacher you are

[@profrobbob]

Thank you! Please sub and share this channel with everyone:)

[@cowgate]

Perfectly explained! Thank you!

[@profrobbob]

Thanks for studying and subbing!

[@riniannregi6520]

awesome teaching sir thanku 😊

[@profrobbob]

you're welcome...thanks for watching and don't forget to sub and share too!

[@ishaangono3725]

thank you very much Prof. you've help me finish my assignments" #got_it

[@sunninailsx]

Wow this helped me so much! Thank you :)

[@profrobbob]

You're welcome...thanks for watching!