❖ Long Division of Polynomials ❖ 

Hi all! Please post comments, questions and anything else on your mind in the comment section! While I try to answer as many questions as I can, there are more questions than I can answer by myself so if you are someone who might be able to help, please do so! The community is so much better when everyone is involved and helping each other out. Our strength is our willingness to help each other! Also please feel free to like or dislike the video. Your feedback is always appreciated so that hopefully I can make my future videos the best possible! Thanks and happy studies!

RU-vid has never once failed me in my hour of need. Thank you sir.

8 years after this video was posted its still helping people. well done dude

FINALLY ITS BEEN SO LONG AND I UNDERSTAND WHAT THIS ALL MEANS!!!! I COULDN'T LEARN THIS ANYWHERE ELSE THANK YOU THANK YOU THANK YOU!!!

I don't understand how this video got so many down thumbs. When we approached dividing Quotients of Polynomials, I used multiple workbook and website examples and had multiple people of multiple ages show my son how they got the answer. The mule finally watched this video one time and mastered it! We're using LifePac (Alpha-Omega publishing) and even the book shows "R #" for remainders, so this is much more professional or formal than our book. My son says that he may need to watch the video again after a good night's rest, but boy he has got it. This was our first math hurdle and your video helped us jump over it. I'm shrieking and dancing, loving life...Thank you, thank you, thank you!

9 Years later - best video I could find. Thanks man, you're the bomb.

it seems you already know the answer in that case :) no, you do not have to add it. i am pretty sure i mention in the video that it is merely a 'place holder' to keep all the terms lining up.

You Sir Are My HERO.

I'm in calculus right now. I had to come back here to review this because I need it to do an example in integration by Natural Logarithmic Function. This video definitely put me back on track. Thanks!

I freakin' love u man. You've saved my ass ever since high school lol. U DA MAN. But u already knew that :) Someone who can actually teach-- it's beautiful

*Every time I don't understand a math concept and I search for it on youtube, I GET **_SO_** RELIEVED WHENEVER I SEE YOUR CHANNEL, THANK YOU SO MUCH!*

Thanks, JMT for all your free tutorials, for sure you are making your country a better world.

This saved my life. I wish my Algebra teacher would explain this good.

Thank You for the video! Who knew such a simple task that you decided to do for others would receive this much happiness of finally being able to solve this question. I give you my many thanks!

thanks patrick for your videos. because of you, i learned all of algebra 1 and mastered it in 1 week. now i tutor my grandmaster's son in exchange for martial arts lessons. you've changed my life for the better my friend!

You are literally my hero. My teacher doesn't know how to explain well so I was completely lost for the past week. I totally understand now thank you so much keep making videos!

Okay. Why the hell are you disliking this video? It's a perfectly fine example on how this mathematical concept works.

and all I ever thought was ''I can never do long division''. but then again, thank you sir, I can :)

Thank you a million times You can't believe how grateful I am .. I'm taking a very short summer course where each day we'll start a new chapter ... But you've helped me understand more than class time

Seriously RU-vid has never once failed me in my hour of need. Thank you PATICK JMT sir!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Thx, this video helped quite a bit and its clearer than my math teacher explained it.

Thanks for the help, Patrick! I was stuck with my algebra homework, but I get it now! :)

yes i do. if you do a search on my channel of ' Finding all the Zeros of a Polynomial - Example 3 ' i find the zeros of a 4th degree polynomial. feel free to check out example 1 and 2 as well!

-crying because I don't understand what I'm doing- -finds all his videos on youtube- -understands how its done- -tears of joy-...-subscribe- Thank You so much!

Now I can help my sister with her homework ☺ thank you

Bless you sir.

Well done sir. This video has saved me on my test. You have done what my past two math teachers could not do. You have made me a very happy person.

OH MY GOD! I SPENT A WHOLE PARTIAL NOT UNDERSTANDING THIS AND I JUST LEARNED. YOU ARE AMAZING. WOW.

this helps a lot because I was really struggling

thx man ive got a test tomorrow and you really helped a lot, thanks!

man you are a life saver. i have ADD so when i cant focus in class and cant grasp the concept this is where i go cause you make it quick and simple and if i miss something i can just rewind the vid to re watch it

I don't understand why all math teachers can't be like you. You are a legend.

Excellent video, clear and concise :)

Thanks so much this helped me a lot 😀

College Calculus 2 student who never really learned how to long-divide. With a whole section on integrals with improper polynomial fractions, this was a life saver. Thank you so much for your work

Before patrickJMT, the mean, the median and the mode of my math grades were below 50, but after patrickJMT the mean, the median and the mode were absolutely equal. they became ALL 100!!!!!!! thank you sir

Seems to make more sense than when my teacher explained it I will see tomorrow if I can do it tho

How do you decide whether it would be better to use long division or synthetic division?

No way I can thank you enough for every single video on your channel, you saved me in countless tests, my teachers can't teach. If only you were them, thank you!

Thank you very much! Weeks of confusing teaching all explained in one simple RU-vid lesson, you are a savior!

You're the best, I'm just a noob and now I feel like a god XD

They said left-handed people are good at Mathematics and I think they're right.

Thank god someone on youtube can actually explain this in depth. Thank you so much!!!!!!

Wow this is actually really easy. Thanks man, I slept through class for like a week straight and now I have a test tomorrow and this saved me.

thanks for the vid

Thank you for your existence and thank thank you for making these videos!

Out of interest at nearly 70 years of age I would like to learn algebra and this lesson is really good, thank you very much. Regards Arthur.

Patrick I cannot thank you enough. Your videos so far have gotten me through a week of college algebra after i have not done it in 20+years. You explain it in english and i will be looking at your website for additional videos.. Hoping you have one on graphing a line when only given the slope..

U are now my go to source when it comes with math! Thank you!

I really dont understand the place holders. Im sorry i am not the smartest

You're even better than my teachers! I love your tutorials, they are a big help. Please continue educating us. ^_^

The second time I have depended on your video to figure out the proper way to answer a problem. Text had nothing, no example from teacher. Awesome.

Nice vid, i will check back

Mrs Coughlin sent me here

I don't know how to thank you, but here is a huge THANK YOU anyway!! I've watched too many videos into the dark of night trying to refresh my math memory (I'm back in college after many years to pursue my graduate degree in science).. but I was having such a difficult time remembering certain functions. I am trying to pass my pre-calculus course so I can move on to further studies. Your video helped some really important small concepts "click" in my brain again.Thank you soooooo much for a much needed "aha" moment! Blessings!

I understood how my teacher used to teach me about this stuff, but when there's a quiz, most of us could not answer, but because of this video, I began to understand this division on polynomials thingy. And so I would like 2 thank you for creating a video like this

why do polynomials have to exist :(

Does it help if your videos are funny? I'm better at comedy writing than Polynomial Long Division Algebra.

My professor used a whole hour trying to explain Long Division of Polynomials and I didn't get it. I watched less than five minutes of this video and I can already do it. Thanks.

OMG what I didn't learn these past days I learned in less then 10 mins!!!! THANK YOU SO MUCHHHH!!!! this helped me so much

math sucks

The best math video I've ever seen.

You are good! I am a math teacher, and although I am not "officially"teaching math I help some students, and watching your awesome video helps me to remind me and tutoring those who asks me!! Thank you for helping our children to understand this magic world of MATH!

Dude you are an absolute lifesaver. You teach this stuff better than my algebra teacher who has a doctorates in mathematical studies. Props to you ;)

U make more sence then all the other people that try to explain this. Thank you very much.

My Algebra 2 teacher made this concept so hard to understand but ugh you were the real mvp tonight

Thank you so much! This helped a LOT! I'm home-schooled and I do all my classes online, so I don't get people explaining what I need to learn, so this video helped me very much in a way the text couldn't.

This made more sense to me than any of the bs examples my teacher has "explained" this semester. I think you just saved my exam grade. Thanks so much!

you are the reason I even pass any of my tests...you teach better than any of my math teachers

We just started this in class and my teacher did a terrible job at explaining. Having not been taught how to do the long long division and rather the short long division I was confused. You sir made this so clear and I actually understand it now! Thank you so much! Now I don't have to panic about our test happening soon and our exam!

Thank you so much! My college algebra teacher expected us to know this but I briefly learned this in high school... You are the best!

I don't comment much but I simply don't know how to thank you. Thanks again for your help.

Teaching me what my teacher (with heckin 4 hours a week) fails to teach me, after only 10 minutes. Respect bruh 😔😔💕💕💕

You sir are a life saver!

This channel should get an award. thank you so much bro!

Thank you so much! I was trying to help my brother with his math homework, but I needed a refresher myself. Thank you, again, for making the tutoring process as painless as possible.

I decided to continuing my degree after 14 years of working and this just saved me. Thanks!

I totally missed the lesson in Pre-Cal today, and your video helped so much more than the teachers notes!! Thank you so much!

I'm a 1st year uni student and have never done this in high school, my lecturer could not explain this in a whole hour and u did it in 10 minutes, thank you so much =D

Oh my goodness you explain so much better than my textbook, and my teacher practically reads off the examples in the book to teach the lesson, this was really helpful, thanks you SO much!!

I was in exactly the same boat as you, mate. I know how frustrating it can be. Thank you so much @patrickJMT for this video. You have compressed what would have been days of self learning into just ten minutes. Please keep making videos like these. Have a great day, mate. -- Dillon Chaffey

TIP: Line like terms into the right columns. For example, in the problem "x + 6" should be lined up above "4x - 8", not "x^2 + 4x". And the answer is x + 6 + -4/ x - 2, the -1 wasn't applied to the -12 which becomes a positive 12.

wow every video i ever watch of this guy always relieves my stresss. keep making more videos. wish they wud pay u millions...like seriously!

My new super hero, it's "Math Man". Thank you so much for the Help!

You have no idea how much your videos have helped me out this semester. Pretty much every homework assignment we have, I've just gone to your videos in order to truly understand how to solve the problems from the ground up. Side note: You sound like the guidance counselor from Beavis and Butthead. Don't worry, that's not a bad thing.

Honesty I don't know what I would do without your videos!! Thank you so much (:

When i don,t understand something in a lecture, this is the first place I come. thank you.

You're great patrickJMT! your explanations are clear and understandable. keep up the good work!

My teacher has been giving my class nothing but worksheets, and this has helped me alot, because he doesn't teach a damn thing! Thank you thank you thank you!

thanks dear teacher you save my time .you are the best teacher .

thank you, my friend! using youtube to actually educate others is a rariety; thank you for your time and for sharing knowledge!

I greatly appreciate the video as it only took me 10 minutes to understand long division. You have earned yourself a subscriber :)

I needed a refresher on long division and this video was SO HELPFUL!

Great tutorial, I didn't know how straight forward the process was until your video. You did an excellent job explaining!

10 years later and still saving students, legend!

When this came up in my precalc class, I blanked out because I haven't done it since high school. Thank you so much for the refresher!

You have become one of my regular teachers, thank you so much!

Dude I was stuck on a DE problem involving long division. wow thanks again patrickJMT I've been following you for years and I always seem to get clarification from your videos within minutes!!

Thank you very much! I wasn't understanding how my professor or book was explaining this, but I get the idea thanks to you.

Great video! Exactly what I needed in just the first few minutes with complete clarity. Thank you!