❖ Long Division of Polynomials - A slightly harder example ❖

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  • Опубликовано: 14 янв 2025

Комментарии • 621

  • @abbymLOL
    @abbymLOL 12 лет назад +153

    In a 6 minute video, I learned more than in 90 minutes of math class. This is fabulous.

    • @lawliet2263
      @lawliet2263 3 года назад +4

      American education is the best

    • @SonaksheeD
      @SonaksheeD 8 месяцев назад

      Fr

    • @jeanrewss
      @jeanrewss 5 месяцев назад

      It's been 11 years, how are you?

  • @Bob-no9xp
    @Bob-no9xp 9 лет назад +264

    This makes me want to flip the table

    • @melfhatan9296
      @melfhatan9296 8 лет назад +2

      SAME

    • @PraiseTheDreadFather
      @PraiseTheDreadFather 8 лет назад +9

      I'm 19 and was never taught Long Division in 4th grade, we were given a newer alternative that probably doesn't work with polynomials so now that I'm in pre-calc in college it's really come around and bit me in the ass.

    • @palmbearoftexas2007
      @palmbearoftexas2007 7 лет назад +1

      Diablo Rodriquez What's the alternative called?

    • @idunno7310
      @idunno7310 7 лет назад +1

      Michael Ojeda bit me in the ass ?

    • @ritz2156
      @ritz2156 7 лет назад

      Actually...

  • @farhorizongardens
    @farhorizongardens 13 лет назад +20

    I remember watching your videos my sophomore year of high school, and you were a much better teacher than my actual teacher. I would cry because I couldn't do my homework and would do badly on tests, so when I found these videos, I was able to do a lot better! I'm now a senior and I'm taking AP Calc AB and every so often I forget how to do long division since we don't use it often, and I just come back to your videos. Thanks for being awesome. I'll probably still watch them in college!

  • @patrickjmt
    @patrickjmt  16 лет назад +19

    yes, that is the nice thing about video!
    and often times, the teacher has to cover so much material per year, or they themselves get in trouble...

  • @MacieJay
    @MacieJay 12 лет назад +50

    It must suck using a dry erase board as a lefty.

    • @tomsinsel2761
      @tomsinsel2761 3 года назад

      the real macie jay doing long divesion lol

    • @malcolmlucas1130
      @malcolmlucas1130 3 года назад

      A trick: you can watch series on flixzone. I've been using them for watching a lot of movies recently.

    • @eduardopayton7776
      @eduardopayton7776 3 года назад

      @Malcolm Lucas yup, I have been watching on flixzone} for years myself :)

    • @thebeing3696
      @thebeing3696 4 месяца назад

      It is a struggle

    • @ahmeddraza
      @ahmeddraza 4 месяца назад

      Wtf is Macie jay doing in a polynomial division video

  • @patrickjmt
    @patrickjmt  14 лет назад +1

    @x3mist338 no problem. i have tons of stuff, so check back if you get stuck : )

  • @patrickjmt
    @patrickjmt  13 лет назад +5

    @mollymarie2 well, in that case, you would divide 5x^4 by x^2; basically though you are doing the exact same thing

  • @mido5219
    @mido5219 9 лет назад +95

    i paused the video and solved it before him and it turned out true because i watched the first video......he made long division very easy for me damn ! thank u sir ~

    • @patrickjmt
      @patrickjmt  9 лет назад +11

      +mido5213 awesome! i think this is a great way to use the videos

    • @mido5219
      @mido5219 9 лет назад

      patrickJMT thanks.

    • @bustaboy5262
      @bustaboy5262 9 лет назад +16

      +patrickJMT I'm just 10 so i'm learning stuff ahead of my grade because when i get to those grades i wanna be already steps ahead

    • @no989or
      @no989or 9 лет назад

      +patrickJMT you make my life thanks a lot 💝

    • @lawliet2263
      @lawliet2263 3 года назад

      Oksama Bin LADEEEN

  • @patrickjmt
    @patrickjmt  13 лет назад +1

    @RudiiJontel of course, this is just my opinion!

  • @patrickjmt
    @patrickjmt  14 лет назад +2

    @oxijen22 synthetic division is used when dividing by a linear term

  • @patrickjmt
    @patrickjmt  13 лет назад +1

    @imurmoma you dont have to have them anywhere. it is just to make stuff line up

  • @patrickjmt
    @patrickjmt  13 лет назад

    @lordpitt glad you like it : )

  • @golaudydd
    @golaudydd 12 лет назад +1

    You've helped me understand this far better in 5 minutes than my instructor could in 15 minutes before moving on to the next section in class. I don't do very well with algebra to begin with, and sometimes things just aren't explained in a way that clicks for me, and it doesn't help if they're rushing. Thank you so much!

  • @patrickjmt
    @patrickjmt  16 лет назад +7

    no problem anna : )
    good luck with the LD

  • @patrickjmt
    @patrickjmt  14 лет назад

    @FailedGearz why not? 2x * (1/2)x^2 works. there are numbers out there besides whole numbers!

  • @patrickjmt
    @patrickjmt  13 лет назад +1

    @gedevega thanks : )

  • @aliciasosnowski7416
    @aliciasosnowski7416 6 лет назад +13

    Thank you so so much! I’ve been looking for a video that actually covers dividing with the many term polynomials like I am. This is so helpful I actually understand it now haha. Again thank you so much!

  • @patrickjmt
    @patrickjmt  14 лет назад

    @badbarada no problem!

  • @patrickjmt
    @patrickjmt  13 лет назад +1

    @RudiiJontel math, of course ; )

  • @patrickjmt
    @patrickjmt  13 лет назад +1

    @dEViN1887 perfect : )

  • @patrickjmt
    @patrickjmt  13 лет назад +1

    @GFXenthusiast that is a good thing! : )

  • @patrickjmt
    @patrickjmt  13 лет назад

    @coolman6566 you do not have to add in anything really. you can add those in though to keep everything lined up. it is just a ' book keeping ' trick

  • @ORenIshii96
    @ORenIshii96 15 лет назад +1

    Thanks a lot man. First day of school is tomorrow and the summer math packet was burning a hole in my soul.

  • @patrickjmt
    @patrickjmt  14 лет назад

    @kamakasi90 you can thank me in person next year when i am living there! very excited.

  • @patrickjmt
    @patrickjmt  12 лет назад +2

    if there is no variable with the indicated power, why would you put a 1 there instead of a zero?

  • @patrickjmt
    @patrickjmt  14 лет назад +3

    @misscollegiate08 tyvm. : )
    i just explain things the way that i understand them

  • @patrickjmt
    @patrickjmt  16 лет назад +3

    at the end of this month, i will be a prime number of years old!

  • @isabellacristina3155
    @isabellacristina3155 3 года назад +1

    i have my pre-calc test tomorrow and as i was doing my homework i got stuck on this one problem and couldn’t understand why I couldn’t get the right answer. i completely forgot about the place holders. thank you so much, you literally saved my life.

  • @crazynicacincia
    @crazynicacincia 14 лет назад

    I was having such a hard time in my AP Calculus class and a friend told me about your videos; you are going to be my best friend for the next two years!

  • @mickey-ky1oi
    @mickey-ky1oi 7 лет назад +135

    never knew that i would come here to learn this again😂😂
    I am 1st year engineering student 😂.

  • @x3mist338
    @x3mist338 14 лет назад +1

    RUclips was the last place I searched for help! Thank you for being here!

  • @FreshTillDeath56
    @FreshTillDeath56 12 лет назад +1

    i think kids these days don't realize the wonderful tools they have at their disposal. if math teachers stink or don't do a good job of explaining something, all you have to is type in a few words into the keyboard and find answers. thank you very much

  • @TheTyJerome
    @TheTyJerome 6 лет назад +3

    Thank you, taking an online class from my local community college, the homework doesn't show how to divide poly's by tri's, but it's in one of the "exams".
    Spent the last hour trying to guess at it and failed.
    Your video cleared me up on a few issues, thanks.

  • @Sahil-ph1bp
    @Sahil-ph1bp 9 лет назад +10

    THANK YOU SO MUCH I HAVE BEEN LOOKING FOR THIS LOL

  • @patrickjmt
    @patrickjmt  14 лет назад +1

    @roxycheergurl you will have to change that bookmark soon : ) i have a new website i am working on; i will put all the videos on my new site and take them off my old site!

  • @Howficklemyheart
    @Howficklemyheart 14 лет назад

    I just want to tank you SO much because I am taking algebra 2 online right now and the guides that they give me to study do nothing to help me and you make it very easy to understand!

  • @patrickjmt
    @patrickjmt  16 лет назад +3

    why does it have to divide 'evenly' ?
    u will just end up with fractions, thats all

  • @patrickjmt
    @patrickjmt  12 лет назад +2

    happy to help :)

  • @ElxVEVO
    @ElxVEVO 11 лет назад

    I just wanted to say thank you. What I do is when I don't have to do anything after studying, I look at my syllabus and study in advance by watching your videos. By that, I don't look naive when the next lesson is discussed. Thanks!!

  • @mizzmuffin93
    @mizzmuffin93 14 лет назад

    thank you sooooo much! my teacher is Chinese & literally teaches this backwards so that we "understand" where the original answer comes from. forget that.. this is what i need & im using your videos to help me graduate !

  • @patrickjmt
    @patrickjmt  13 лет назад +1

    @MrEaglesfan20 come back any time!

  • @patrickjmt
    @patrickjmt  16 лет назад

    thanks!

  • @denverlee19
    @denverlee19 9 лет назад +40

    I feel like I should pay you.

  • @EnmaEnthusiast
    @EnmaEnthusiast 13 лет назад

    man i don't know if i might be happy or if i will like to cry, you are such a great teacher, u tought me this in just 5 minutes and 49 seconds what i couldnt learn in 2 hours from my teacher and trying by myself im so happy u are alive, thanks a lot, u got a subscriver an my friends will sub too, i will tell them, thanks again :)

  • @Peter_1986
    @Peter_1986 11 лет назад +1

    Long division is very useful if you want to solve for a variable when it happens to be in both the numerator and the denominator.
    It could be for any possible reason, you never know when the variable will end up like that.

  • @KQSxMamba
    @KQSxMamba 9 лет назад

    Probably the best teacher i have seen on youtube. I would be utterly failing pre calculus if it wasn't for you good sir. Thank you

  • @catalinadisomma3672
    @catalinadisomma3672 11 лет назад +2

    You're a much better teacher than my college professor. Thank you!

    • @LeonHeron-g7x
      @LeonHeron-g7x Год назад

      wait im in grade 10 and learning this im screwed

  • @patrickjmt
    @patrickjmt  13 лет назад

    @RudiiJontel only do pure math if you are interested in becoming a prof. even then, you can land a prof job easier if do applied math. actuarial science is a good place. stats, computer science are also good!

  • @riankelly1796
    @riankelly1796 11 лет назад

    hahaha. the comment about your southern accent made me giggle. For some reason my brain shut down and i second guessed myself... you helped me get back on track :) and gave me a good little laugh too. Thank you for your time and help :)

  • @TheBigProc
    @TheBigProc 13 лет назад +1

    Great help, I'm studying additional Mathe at age 16 and it is mainly self taught and this is so much help!

  • @jjjbabycakes
    @jjjbabycakes 16 лет назад +1

    I just have to say that you are awesome!!!!! I have been so lost on this and you explained is so well that I totally get it now!! I wish my math instructor would have just explained it like you do! Thanks so much!

  • @patrickjmt
    @patrickjmt  13 лет назад

    @Hyuji1111 glad i could help

  • @Kechama9
    @Kechama9 13 лет назад +1

    This equation seems to work perfectly... but what if it's 3x^4 -3x^3 - 11x^2 + 6x - 1 divided by x^3 + x^2 - 2?
    Do i take x^3 + x^2 - 2 and add a 0x in there?

  • @0096luke
    @0096luke 11 лет назад +1

    But what if the first terms on both sides have coefficients other than 1? I'm stuck in the first step because I can't fit a 3x² into a -4x³

  • @Timeothy
    @Timeothy 13 лет назад

    I have a chapter test in an hour, and this was the only bit I didn't understand, I think you just saved me.

  • @KhanMon
    @KhanMon 14 лет назад

    i liked how you added the 0x^3 it makes it more clean and more understandable either way you look at it, Great vids! love em

  • @kyrieleison4
    @kyrieleison4 13 лет назад

    I always fail in my math exams this year but i'm safe in quizzes and stuff.. but I lost my confidence when the result of the exams came.. I lost it man! But here you are. You gave me hope!!!

  • @vanished306
    @vanished306 14 лет назад

    I'm at the end of my 2nd year of engineering. I'm taking my 4th and last advanced calculus class (vector calc and differential equations). You might not be familiar with it, but I was going over power series expansion and realized that I had completely forgot how to do polynomial long division. How sad is that? Anyway, I found your video helpful enough to refresh my memory. Just wanted you to know that your not just helping 16 year olds in high school math classes. Good job!

  • @applerdaragon23
    @applerdaragon23 12 лет назад +1

    Is it really necessary to put the 0x^3?

  • @PotaoDude
    @PotaoDude 12 лет назад +1

    I was sick the day we did this, and this video helped a great deal! Thank you!

  • @LordKingfish
    @LordKingfish 13 лет назад

    You are a very good teacher! If you're not already one, become one! Even for me, who do not talk English as a mother tounge, it was still easy to tag along and learn.

  • @patrickjmt
    @patrickjmt  14 лет назад

    @Branos93 i try when i make the videos to keep it neat

  • @patrickjmt
    @patrickjmt  13 лет назад

    @geeksquadof1 no problemo

  • @prekshajain
    @prekshajain 8 лет назад

    thank you so much for this video this video help me very much

  • @TheTalmon18
    @TheTalmon18 14 лет назад

    Patrick, thank you once again, not even 6minutes from after watching your first Long Division of Polynomail videos, i finally understood it for the first time.
    I saw your problem, and paused the video. Doing from what i've learned in your first video, i managed to get the same answer as you did=]
    Thanks to you i can now long divide polynomials with no problem
    Again, thank you very much Patrick!

  • @patrickjmt
    @patrickjmt  15 лет назад +2

    it would seem i already have started to do exactly this.... : )

  • @patrickjmt
    @patrickjmt  14 лет назад

    @vasquezg86 just try it without the 0x^3

  • @patrickjmt
    @patrickjmt  13 лет назад +1

    @preah11 i hope it went well : )

  • @Ihatenicknames1
    @Ihatenicknames1 11 лет назад +1

    Thank you , this was a great video!
    I was just wondering about something, when you make this video, you show how to do the long division and how to get the reminder? But I don't really understand why all of that is the way it is, I understand how to do it, but don't really understand why for example you write the final answer the way you do. Do you think it is important to understand where everything comes from in math? Or is it ok to just learn the technique for many things?

  • @patrickjmt
    @patrickjmt  13 лет назад +1

    @RudiiJontel : ) just minor in something useful. pure math is not good for getting a job i think : )

  • @premixmpk7070
    @premixmpk7070 5 лет назад +1

    Well we need it

  • @valeria3h
    @valeria3h 12 лет назад +1

    Thanks for the videos! You've really helped me and saved my life because my math exam has those problems!

  • @bridgersgf
    @bridgersgf 6 лет назад +3

    *Ur channel is the best among the rest*

  • @trevorphilips1729
    @trevorphilips1729 9 лет назад +2

    the hell? at like 1:40 how did that cancel out?

    • @trevorphilips1729
      @trevorphilips1729 9 лет назад

      Banana :D oh scratch that, i get it now. I thought you were multiplying the negative on the outside.

    • @realityhitshard2024
      @realityhitshard2024 15 дней назад +1

      Hi bro. Alive?

  • @Nafisatzc
    @Nafisatzc 13 лет назад

    U just h've d solutions fr every problems someone can face during taking calculus courses !! needed this long division fr d indefinite integral, dn't dn't even remember wat waz d last tym i did this !!! thnx :)

  • @reynaldobonifacio
    @reynaldobonifacio 12 лет назад

    Thank you so much!!!! raise to nth power!!! Suddenly, my son got so excited to calculate more equations... he is so frustrated earlier,now he's so happy he was able to answer his homework all by himself.

  • @DiejonDollars
    @DiejonDollars 12 лет назад +1

    Can you believe I'm doing this in 7th grade gifted
    and my math teacher is Greek and barley speaks English. P.S this helped alot

  • @lordpitt
    @lordpitt 13 лет назад

    This video > my math teacher. Great work dude!

  • @wow1574
    @wow1574 3 года назад

    THANK YOU SO MUCH. YOU JUST SAVED A 45 YEAR OLD DESK FROM BEING RIPPED OFF THE WALL FROM WATCHING USELESS VIDEOS.

  • @glicerierivera6925
    @glicerierivera6925 11 лет назад +2

    thanks patrick ,this helps a lot ;)

  • @julieo.7978
    @julieo.7978 8 лет назад +1

    Thank for this I was struggling to find a video that actually would help me I got the easier examples and was stuck on the ones like this.

  • @michelleguevara9057
    @michelleguevara9057 6 лет назад

    Please keep posting never stop. Cover all math if possible. I need your videos!!!

  • @kenyaaroxursox13
    @kenyaaroxursox13 13 лет назад

    this guy should get an award !! You sir are the best :D

  • @mymusicequalsmylife
    @mymusicequalsmylife 14 лет назад

    Your videos have legit saved my grade. Thanks soo much!!!

  • @MsBeatria
    @MsBeatria 12 лет назад

    Clear my doubts,
    Thank so much!
    I will try to stay tune to what you had posted if possible!
    :)

  • @dragonfire381
    @dragonfire381 14 лет назад

    You explain things really well, it's really helping me with what I've forgotten since last year :P

  • @hotshot101777
    @hotshot101777 16 лет назад

    Thank you sooooo Much, You are a life saver, i missed a few days of school, and when i went back they were doing this stuff, and also sythetic divison as well.. I had to take half of my test today, but i still get to take the other half tommorow. I wish i would have watched this last night before i took the first half of the test. Do you happen to do tutoring in middle Tennessee? Thanks, Destin

  • @theothertube
    @theothertube 14 лет назад

    Your videos helped me out a ton doing my math upgrading. Thanks.

  • @sabitaaditya5022
    @sabitaaditya5022 5 лет назад +1

    You helped me a lot sir... Thank you so much

  • @abuhijleh2012
    @abuhijleh2012 12 лет назад

    finished my first year of engineering and the only person who managed to teach me well how to do long division wis you so thnx alot

  • @adriebailey8975
    @adriebailey8975 12 лет назад

    your videos are so helpful, thank you so much for putting these up

  • @yeahmama
    @yeahmama 14 лет назад

    in grade 3 i used to do these long division questions that i made for myself and i loved doing it. (Ofcouse there were no integers or powers or square roots). Your just like my old me!

  • @Sunchipper213
    @Sunchipper213 13 лет назад

    WOW I wish you were my math teacher! Thank you so much for making these videos. It's really very commendable that you would take this much time out to help people with math.. and 1,200 some videos on math is wayyy remarkable. Amazing job!

  • @Razz27
    @Razz27 13 лет назад

    Thanks man this really cleared things up for me. And excellent hand writing by the way :)

  • @jin_cotl
    @jin_cotl 7 месяцев назад +1

    I appreciate this video. It helped me brush up on my math skills 😊

  • @RandomRoadMan
    @RandomRoadMan 15 лет назад

    Thank you for taking the time to make this video, i have an assignment on this and this video is a life saver, thank you!

  • @malcolmman89
    @malcolmman89 16 лет назад

    Very helpful! Thanks for posting these videos!

  • @DollwarDevil
    @DollwarDevil 12 лет назад

    For the past year I have needed to know how to do this and just skipped over it thinking it would go away, but it hasn't. Thank you for teaching this me like my teachers at school cannot. xD

  • @irwinstarr
    @irwinstarr 15 лет назад

    Guy, i don't usually comment on YT, but you rock. Thanks so much.

  • @andycao1991
    @andycao1991 14 лет назад

    very awesome , clearly instructed , neat hand-writing . We thank you