Polynomial division | Polynomial and rational functions | Algebra II | Khan Academy

Поділитися
Вставка
  • Опубліковано 19 кві 2010
  • Courses on Khan Academy are always 100% free. Start practicing-and saving your progress-now: www.khanacademy.org/math/alge...
    Polynomial Division
    Watch the next lesson: www.khanacademy.org/math/alge...
    Missed the previous lesson?
    www.khanacademy.org/math/alge...
    Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!
    About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
    For free. For everyone. Forever. #YouCanLearnAnything
    Subscribe to Khan Academy’s Algebra II channel:
    / channel
    Subscribe to Khan Academy: ua-cam.com/users/subscription_...

КОМЕНТАРІ • 500

  • @Echo93611
    @Echo93611 13 років тому +934

    I just want to thank the internet for letting me sleep during an hour of algebra 2, then spend 10 minutes on youtube and understand the subject perfectly.

    • @tinaandersen3270
      @tinaandersen3270 6 років тому +6

      School is important

    • @aristarchinski272
      @aristarchinski272 4 роки тому +29

      @@tinaandersen3270 Un*

    • @woutergrob8587
      @woutergrob8587 4 роки тому +73

      @@aristarchinski272 If that's your standpoint you're either gotta known how to use your charisma to make trades (car dealership, etc) or you better remember I like my cheeseburgers with extra cheese.

    • @crazycatlady7326
      @crazycatlady7326 4 роки тому +2

      I'm learning this in algebra 1...lol

    • @gokublack3231
      @gokublack3231 4 роки тому +17

      Wonder how this guy is doing now since 8 years have passed

  • @Bonbonenata
    @Bonbonenata 9 років тому +287

    I'm gonna thank you in my graduation speech!!

    • @Lune___.
      @Lune___. 4 роки тому +17

      @Edwin Favela 5 years later lmao

    • @TheInfernoGamer10
      @TheInfernoGamer10 4 роки тому +6

      Oi we wanna hear ya speech

    • @eylulvv
      @eylulvv 4 роки тому +2

      Hellooooo

    • @Bonbonenata
      @Bonbonenata 4 роки тому +46

      Can't believe someone replied 5 years later :o Turns out I'm not smart enough to have a graduation speech 😅 but I did pass all my math exams :D

    • @samuelrasquinha6712
      @samuelrasquinha6712 3 роки тому +3

      @@Bonbonenata yay!

  • @elinag5743
    @elinag5743 7 років тому +220

    thank you! my math classes never taught this, yet these problems appear on tests. the education system sets us up for failure, but khan academy is our saving grace.

    • @elinag5743
      @elinag5743 7 років тому

      Alberto Garcia why do you think that?

    • @elinag5743
      @elinag5743 7 років тому +6

      Alberto Garcia fair argument. Sal can't really change his voice though. And the slow teaching helps a lot of people.

    • @jaskaransingh6440
      @jaskaransingh6440 7 років тому +33

      his voice is good and never irritating

    • @elinag5743
      @elinag5743 7 років тому +12

      Jaskaran Singh i agree. but everyone has different preferences. even if his voice did irritate me, I'd still get over it and appreciate the video for its content

    • @graphene1487
      @graphene1487 5 років тому +3

      @Alberto Garcia you suck big. Give the guy a break.

  • @TopsShots
    @TopsShots 8 років тому +147

    HOLY SHIT I FUCKING LEARNED HOW TO DO THIS IN A 12 MINUTE VIDEO BUT COULDN'T FOR 2 WEEKS IN A 40 MINUTE CLASS

    • @darknotez7170
      @darknotez7170 7 років тому +12

      Forreal thats exactly how i feel. My teacher blows at teaching.

    • @Scyphersoarocx
      @Scyphersoarocx 7 років тому

      preach it bro

    • @Scyphersoarocx
      @Scyphersoarocx 7 років тому +4

      #TheAmericanEducationSystem

    • @vicwang271
      @vicwang271 7 років тому +3

      Scyphersoarocx ikr

    • @vicwang271
      @vicwang271 7 років тому

      Scyphersoarocx ikr

  • @peircingblueeyes
    @peircingblueeyes 10 років тому +436

    God bless Khan Academy..

  • @princessalexander1349
    @princessalexander1349 5 років тому +242

    "lets do another one of these. They're kind of fun!" ~rewinds video to make sure I heard that right~

  • @shellybee5477
    @shellybee5477 9 років тому +130

    Math has always scared me because I've always found it so intimidating. But whenever I watch Sal's videos he has a way of making math seem fun and exciting. A rare gift indeed. My anxiety seems to disappear as he so calmly explains the steps.
    Thank you for making math fascinating, sal! Your videos have changed my entire perspective on math.

  • @roflsteph
    @roflsteph 10 років тому +23

    I've always strugged so much in math and these videos are saving my GPA! I learn so much more from these videos than in the actual class.

  • @FinalCutVideography
    @FinalCutVideography 9 років тому +337

    still don't get it im doing it a different way hahahahah *laughs then cries*

    • @Zohirul-Jewel
      @Zohirul-Jewel 7 років тому +12

      His teaching methods aren't always the best

    • @maiamaya381
      @maiamaya381 6 років тому +18

      But generally they could help. There is no perfect method of teaching so it's okay if you don't understand...

    • @RicardoSanchez-hl3qy
      @RicardoSanchez-hl3qy 4 роки тому +1

      Wow

    • @peanutbudderr5352
      @peanutbudderr5352 4 роки тому +1

      @@maiamaya381 i agree

    • @ChiccinTendies
      @ChiccinTendies 4 роки тому +8

      The best thing to do is to take a deep breath and slow it down. Most times people freak out and panic, preventing themselves from doing something that's well within their capability.

  • @thestig560
    @thestig560 5 років тому +8

    3:20 thank you for clarifying the minus thing, it made all the difference!

  • @movingwall1
    @movingwall1 10 років тому +38

    My teacher spent three lessons explaining this. And I couldn't understand it. After 12 minutes of you explaining it I totally understood.

  • @NateNate60
    @NateNate60 7 років тому +3

    3:57 "6 minus 0 is nothing" Makes total sense

  • @zdrasbuytye
    @zdrasbuytye 10 років тому +65

    OMG I was struggling like one hour with one problem like the one that you showed in the last minutes . After that, I finished my problem in one minute. You're really awesome.

  • @biwwi100
    @biwwi100 11 років тому +1

    This actually blew my mind. Nobody taught me this!

  • @marokay3269
    @marokay3269 11 років тому +3

    What I think about in math class "I'm gonna watch a khan academy video in this" these vids are a great blessing for all of us

  • @Katamaricolby
    @Katamaricolby 8 років тому +57

    I was never good with long division... :/ So many steps to remember, at least for me.

    • @nii_san1201
      @nii_san1201 6 років тому +1

      SAME BRO, SAME

    • @aneesak-ar-im3869
      @aneesak-ar-im3869 5 років тому +1

      Thought I was the only one who just never remembered how to do this...

    • @rotopope
      @rotopope 5 років тому +3

      It isn’t really an intuitive process.

  • @djeroid2000
    @djeroid2000 9 років тому +7

    THANK YOU BASED SALMAN KHAN!
    For the longest time since high school, I had extreme trouble dealing with polynomial long division and once it again, it came back in Differential Equations (when dealing with partial fractions). Your video finally gave me a full understanding of how to do this! Thanks again! :)

  • @hollyemerson5973
    @hollyemerson5973 11 років тому +4

    I always find myself searching your videos after my math teacher's ATTEMPT at showing me. I don't know where I would be right now without you and your videos. So, thank you for making my life a little easier.
    sincerely,
    confused math studentttttttt

  • @lance_nickel
    @lance_nickel 4 роки тому +3

    This man is a true hero. Publishing all this great knowledge, for free. Man's a saint.

  • @lorainecastro5677
    @lorainecastro5677 9 років тому +2

    This video is such a big help for our quiz tomorrow, thanks!

  • @mattt2684
    @mattt2684 6 років тому +2

    Thank you SO MUCH for explaining this is a clear and concise manner.

  • @shubhkedia259
    @shubhkedia259 2 роки тому +1

    Really helps! I used to despise algebraic long divisions but now I go into my class and do the same sums I previously used to hate rather than complete my homework.

  • @call1800jess
    @call1800jess 12 років тому +2

    I just wanna say that I discovered this in Time magazine. Its really awesome!!! :)

  • @LandDestroyer
    @LandDestroyer 5 років тому +1

    It has been 15 years since I've done algebraic long division and this video helped me remember it. Thanks!

  • @kieudang4693
    @kieudang4693 10 років тому +1

    Thank you :) Your videos has helped me with my Algebra class tremendously

  • @DoubleCrossedPaths
    @DoubleCrossedPaths 9 років тому +4

    As someone in a college Math 42 class taught by a teacher that moves through material quickly and offers little help or mercy, these videos and the content on the Khan Academy website may be enough to turn the disaster that was the first 3 tests in the class around. Very glad I was referred to this.

  • @FaceSTAB411
    @FaceSTAB411 11 років тому +2

    Hard to understand, hard to remember, but once they're there it's all good.
    Thanks dude. 'Preciate it.

  • @alarmgoesding
    @alarmgoesding Рік тому +1

    2 days from a calculus exam and I learned long division in 5 minutes after not having done it in over 10 years. Sal is amazing as always.

  • @Jixzah
    @Jixzah 7 років тому +28

    Thanks man I have a test tomorrow and I can't learn from my teacher. This is still frustrating though

    • @h_67tyherwegoagain86
      @h_67tyherwegoagain86 5 років тому +2

      So.. How did it go?

    • @danielj.g.1328
      @danielj.g.1328 5 років тому +2

      We want to know how it went

    • @gkmwheelspin1207
      @gkmwheelspin1207 4 роки тому +2

      Think about how insignificant that test was compared to now.... Either way, I hope you did great

    • @bricklord5017
      @bricklord5017 2 роки тому

      Lol I also have a test tomorrow, and I kinda need to get my math grade up for this quarter so that it will bring up my semester grade which will maintain my year grade which combined with a dew other years will be viewed by colleges and majorly discount the price if I get a scholarship, and if I dont I may not be able to go to college or at least the one I want to go to which means I might not be able to fulfill my career :/ so no pressure

  • @shaunceyy1851
    @shaunceyy1851 6 років тому +1

    Thank you very much Khan Academy! My Math exam is on Wednesday and this Video has really helped me out A LOT! ThAnks So mUCH!

  • @stephenfoster7465
    @stephenfoster7465 7 років тому +1

    THIS GUY JUST ANSWERED EVERY ONE OF MY QUESTIONS

  • @s9m8123
    @s9m8123 11 років тому

    Thank you so much for providing your math lessons free of charge! They are helpful to so many people, including myself, and I think I can speak for us all when I saw that they are wonderful!

  • @group1896
    @group1896 6 років тому

    thank goodness for videos like this. I forgot about this topic and this is my go-to channel from now on.

  • @mandeep3.14
    @mandeep3.14 5 років тому +2

    Mind-blown. It really helped that you showed it from the very beginning in simpler terms and then show what you found after by putting it back into the original, especially cos i was commmppllleetteelllyyy unaware of that division method until today...i just put the remainders next to the digit (which i tried to apply to this and failed miserably) xD
    I spent a good portion of today in confusion and mild despair at the first bloody chapter!, feel a bit better now that i've understood this v_v'

  • @ARKILLER95
    @ARKILLER95 11 років тому

    This is magic. My teacher, friends and maths tutor couldn't explain this too me with me understanding. But when with your video I learnt how to do it half way through like 6minutes! Praise you Mr.Khan

  • @ChernobylPizza
    @ChernobylPizza 9 років тому +3

    Describing it like long division was really confusing to me. Haven't done long division since 4th grade so I you lost me there. But when I think of it my own intuitive way it makes sense and I was able to do the problem in seconds.

  • @Crux161
    @Crux161 9 років тому +2

    this was an excellent video, the last example was JUST what I needed... thanks for helping me to brush up for midterms! xD

  • @konozrashid887
    @konozrashid887 4 роки тому

    Thank you very much for helping me out. By the way, can you make a kind of research video on this long division and include the division of both polynomials and numbers? That way I would understand the true essence of division. And it would also make my logic regarding this polynomials' division more clear.

  • @ragnarrocksoft9096
    @ragnarrocksoft9096 4 роки тому +1

    Thanks a lot for saving my maths grade this semester

  • @AnilZonderPunt
    @AnilZonderPunt 13 років тому

    Thank you very much for your time and for sharing your knowledge. Divisions were always a bit blurry for me, you really helped!

  • @gamerslife5375
    @gamerslife5375 2 роки тому +1

    THANK YOU SOOOOOOOO MUCH I HAVE MY EXAM IN A WEEK AND THIS WAS THE ONLY CONCEPT NOT CLEAR TO ME YOU MADE IT FUN AND EASY THANKK U

  • @TeamTTToxic
    @TeamTTToxic 4 роки тому

    Took me 30 min to try and work this out with worked examples, no use. This video has been extremely helpful, thank you.

  • @clemsoncutie2014
    @clemsoncutie2014 11 років тому +1

    Thank you so much for your free math lessons! I would probably be failing calculus right now if it weren't for you!

  • @NoahJaci
    @NoahJaci 4 роки тому +2

    Oh god I’m doing this yet it’s in an algebra l book,

  • @cadence9308
    @cadence9308 12 років тому +1

    filling those gaps. Thanks Sal!

  • @brandonankumah280
    @brandonankumah280 5 років тому +2

    OMG I watched this video many times before I understood. THANKS SOOO MUCH

  • @scottmcknight8875
    @scottmcknight8875 9 років тому +2

    Honestly saved my test grade. Thank you!

  • @missxxblondiee23x
    @missxxblondiee23x 12 років тому +1

    I love this man.

  • @victoriapownall4871
    @victoriapownall4871 10 років тому +1

    When would you have to use some,thing like this though ??

  • @kickstarts2910
    @kickstarts2910 5 років тому +5

    Let's do another one of these
    *It's kind of fun*

    • @bricklord5017
      @bricklord5017 2 роки тому

      Also him later:
      I hope u found this as fun as I did

  • @balsyitlog
    @balsyitlog 11 років тому +1

    Thank you. Very helpful. I forgot these things and now I need em again for entrance exams. Wish me luck! God bless to you. :)

  • @ajitated1211
    @ajitated1211 7 років тому

    I do online schooling, and a lot of times the assignments (at least the math ones) come with somebody doing a few examples, but the one I'm on right now didn't. I'm a visual learner, where I have to have somebody show me how to do something instead of just reading it. So, these videos have really helped me learn this when my assignments couldn't.

  • @jaredgrant1067
    @jaredgrant1067 5 років тому +26

    "hopefully you found that as fun as I did"

  • @christianjackson1806
    @christianjackson1806 3 роки тому

    As time goes on and I learn more and more Algebra the stuff I so on boards in movies that seem so complicated don't seem as complicated anymore.

  • @silasfoley2971
    @silasfoley2971 5 років тому

    This method worked very well!

  • @TheNachodood
    @TheNachodood 12 років тому +1

    Wow you're great! Thanks!

  • @cleverdamn
    @cleverdamn 3 роки тому

    Khans been helping me from the last year's of highschool to the last years of my physics bachelor

  • @jetpackhamster8662
    @jetpackhamster8662 5 років тому +1

    This guy makes math way easier.

  • @Hagarvlogs
    @Hagarvlogs 7 років тому +1

    thats so helpful!! thank you 😭😭

  • @sverenagain
    @sverenagain 3 роки тому

    thanks for explaning in 12 minutes what my teacher couldnt in an hour!

  • @Hughesgr155
    @Hughesgr155 13 років тому +1

    Thank you, you helped my make sense of a homework assignment (x+a, with x being squared).

  • @firefly1152
    @firefly1152 10 років тому +1

    thank you very much! your videos are so easy to understand :)

  • @megharanjit6117
    @megharanjit6117 3 роки тому

    This is so much better than Biju's. I have that app in my phone and still I am looking at Khan academy to clear my doubts.
    Thank you Khan academy ❤️

  • @ShortScenesForYou
    @ShortScenesForYou 9 років тому +3

    This saved my test grade! thank you

  • @Poorvika17
    @Poorvika17 3 роки тому

    Ur really helping me khan sir
    Hats off to uuuuu

  • @MultiClinton1234
    @MultiClinton1234 12 років тому

    thankxx a lot.i wish u were my teacher.u make it look so easy.
    you are the BEST!

  • @jk97531jk
    @jk97531jk 11 років тому

    Thanks! I kinda understood it before and I think I've got it now. Thanks! (again)

  • @nathanaelfoo
    @nathanaelfoo 11 років тому

    Within 12 minutes,I have mastered division of polynomial.Mr Khan,U ARE AMAZING!!!THANK YOU.

  • @Ananyagarg09
    @Ananyagarg09 Рік тому

    Thank you so much I was preparing for my exams and I just couldn't understand how to divide algebraic expression and now I understand and I find it easy thanks a lot

  • @AkshajSai-rt5xe
    @AkshajSai-rt5xe 23 дні тому

    man you're such a blessing to the world!

  • @LaneEngleFletcher28
    @LaneEngleFletcher28 10 років тому +1

    This video might actually save my grade!

  • @bril5842
    @bril5842 5 років тому +1

    This really helped me in my homework because i was having trouble with it and my teacher explained it weirdly

  • @almostmybedtime
    @almostmybedtime 5 років тому +1

    thanks sam, it was very helpful!!

  • @hamtaru
    @hamtaru 6 років тому

    I recommend trying to solve the equations yourself after the first one if you can't get it right check what you forgot to do by continuing to watch the video. It helped me and I got the method in the first watch! 😁

  • @insertnamhere568
    @insertnamhere568 9 років тому +2

    thanks a bunch!!! i finally get this!!!!! :)

  • @KhaxiChi
    @KhaxiChi 4 роки тому

    wow...I THANK YOU VERY MUCH!.....i won't pass my 3rd quarter exam if it wasn't for this!...I missed my lesson due to the event i was in to my school...but...this video make me catch up to where my teacher left us!...THANK YOU VERY MUCH!

  • @josephrios7139
    @josephrios7139 6 років тому

    In the last week example, when you divide the higher degree polynomial by the quadratic equation, why, when you multiply the 1 in, (x+1), with the 2 in, (3x-2), it the two a positive and not negative as illustrated.

  • @josesaucedo1073
    @josesaucedo1073 9 років тому

    YOU ARE THE SAVIOR OF MY FINALS. I don't know why I didn't understood this before. Takes me a minute now, thx

  • @groupgreatness1469
    @groupgreatness1469 4 роки тому +1

    You have changed my life

  • @liammckayproductions
    @liammckayproductions 8 місяців тому

    Amazing video, helped me a lot!

  • @TheBestOfPKA
    @TheBestOfPKA 12 років тому

    You are a saint for my online class. Thank you.

  • @MissLittleangel101
    @MissLittleangel101 7 років тому +2

    This is really good i think i'll pass my placement test cuz of you thank you so much :)

  • @Psychadellichick
    @Psychadellichick 13 років тому +1

    I'm legit crying right now. I'm going to pass my math class now. Thank you SO much, Sal.

  • @achrafhm2905
    @achrafhm2905 9 років тому +1

    MY GOD I SWARE I HAVE LEARNT THIS FROM YOU THAN FROM MY TEACHER AT LEAST YOU SHOW US EVERY THING WE DONT KNOW MAN I THINK I WILL GET IN 90S THIS YEAR BECAUSE OF YOU SALMAN KHAN I WILL TELL EVERY FRIEND OF ME ABOUT YOUR CHANNEL

  • @wolfierex
    @wolfierex 8 років тому +6

    I really enjoyed this video, and I thank Khan Academy for their help!

  • @FrozenTint
    @FrozenTint 3 роки тому +1

    after 10 years ...i'm now watching the video in 2021 and I can't imagine how helpful it is

  • @01293779747
    @01293779747 11 років тому +1

    You just saved my life!

  • @mustangsally2048
    @mustangsally2048 10 років тому

    Thanks your the best teacher I've ever had at math

  • @dotted_stains2792
    @dotted_stains2792 Рік тому

    I found that as fun as you did!

  • @AllTrickss
    @AllTrickss 6 років тому

    Your 12 min video explains this more clearer than my teacher talking about it for 30 min

  • @rafaelruelo1301
    @rafaelruelo1301 7 років тому +3

    Is there always a 1 on the variable

  • @mrugankbelsare
    @mrugankbelsare 9 років тому

    you simply make it easy to learn maths!!!!!!!!!!!!!!!!!!!.

  • @juanx750
    @juanx750 11 років тому

    Thank You So Much. my algebra teacher does not know how to explain this at all

  • @Lune___.
    @Lune___. 4 роки тому +5

    he really likes to talk about all his ex's

  • @arladie
    @arladie 9 років тому

    You make life easy!!

  • @mattpowelluk1
    @mattpowelluk1 12 років тому

    Studied Polynomial Division at college today and really did not understand it, after watching your video I understand it completely and actually enjoy solving the equations. Thank you

  • @call1800jess
    @call1800jess 12 років тому +1

    Seriously! I love this vid! Gotta share this with my classmates...hahaha! Yay!!! :))

  • @misterff1629
    @misterff1629 10 років тому

    Thank you so much it was very helpful

  • @IvanGaro
    @IvanGaro 10 років тому +2

    I love Khan Academy, and my math class is crazy hard! I can't take it! Like when are we gonna use this in real life?

  • @TheOvermusic
    @TheOvermusic 6 років тому +1

    Hi ! I'm looking for the software used to make this video if someone know the name