Factorising cubic functions: The kx method

Поделиться
HTML-код
  • Опубликовано: 15 янв 2025

Комментарии • 127

  • @emmanuelchichichi8291
    @emmanuelchichichi8291 3 года назад +16

    Dude!!! I been looking for this method for so long.

  • @kittycatcrunchie
    @kittycatcrunchie 5 лет назад +21

    Thank you so much! I wasn't listening in AP Maths when my teacher explained this because I usually use synthetic division, so I'm super grateful that you explained this! :DDD

  • @domjones3840
    @domjones3840 Год назад +1

    I was surprised when this worked out. Thanks for this!

  • @sibongilemakhanya5155
    @sibongilemakhanya5155 4 года назад +30

    But I love how he says we can just guess 😍🙌😊

    • @conorfarrell8415
      @conorfarrell8415 4 года назад +3

      Use the function feature in your calculator to find the roots

    • @ishitagupta5317
      @ishitagupta5317 3 года назад +2

      @@conorfarrell8415 ty for this info but the feature of function is not in all calculator of devices.

  • @aldritzbryancabrera9752
    @aldritzbryancabrera9752 2 года назад +3

    Nice! We are already discussing it in integral - partial fraction, yet I do not know what this method is called. Thankfully, you are here!

  • @techbeastt
    @techbeastt 8 месяцев назад +1

    You made the bridge to overcome the problem 🙏

  • @EmpyreanLightASMR
    @EmpyreanLightASMR 2 года назад +3

    this is almost asmr to listen to 😂 I wanted to remember how to factor a fifth degree polynomial by hand and this was the last step... and a cool additional technique to the synth division.

  • @loveofaflower5486
    @loveofaflower5486 2 года назад +2

    Oh my gosh- you are so good at explaining and teaching ahhhh!! I love you so much!!! Thank you for this

  • @itsishraq3303
    @itsishraq3303 3 года назад +1

    never seen such godly sculptured hands

  • @Josh-mw6vx
    @Josh-mw6vx 6 лет назад

    Wow u really saved my life all the other videos are with these quick methods and not all examining bodies recognize those

  • @jjj-g5
    @jjj-g5 3 месяца назад +1

    can someone help me clarify why do you only use (x-1)?

  • @great9640
    @great9640 3 года назад +1

    easiest and simplest method there is. everyone like this vid so more people will see this easy af method

  • @IASSMRUTI
    @IASSMRUTI 3 года назад +1

    Thank you, it's really clear my doubts.

  • @navarrocarljericcabigon7787
    @navarrocarljericcabigon7787 2 года назад

    Thankk youuu this video is what i looking forrr thank you bro keep it up!!!

  • @muhammadsaqib3752
    @muhammadsaqib3752 2 года назад +1

    very well explained step by step

  • @christinepillay6860
    @christinepillay6860 3 года назад +2

    BEST EXPLANATION I'VE FOUND !!! THANK YOU😁

  • @artworld31
    @artworld31 4 года назад +1

    Thank you 😊😊😊 for this video

  • @viveknaithani
    @viveknaithani 3 года назад +1

    This video was very helpful for me to understand in a better way!

  • @tharushadakshaka166
    @tharushadakshaka166 3 года назад

    It was very helpfull. Thank you, greate job dear 👍

  • @dikshasingh9420
    @dikshasingh9420 9 месяцев назад

    This video helped me a lot ✨ thank you sir for your efforts💯👍

  • @seekpeace494
    @seekpeace494 2 месяца назад

    Thank you so much.
    This video is quite useful. To me it wasn't hard to understand. But I believe it would be better if some steps were explained more in detail for those who need extra support in the basics of math.

  • @ahmedghadhi07
    @ahmedghadhi07 Год назад +1

    But finally you have not solved the equation : x^3 - 4x^2 - 2x - 8 =0 , why ??

  • @JustFeeshy
    @JustFeeshy Год назад

    You're amazing! This simple out-of-the-box thinking is insane!!

    • @Mathematical-Mind
      @Mathematical-Mind Год назад

      Still a bit confused on the part where he found what k equaled to

    • @JustFeeshy
      @JustFeeshy Год назад

      @@Mathematical-Mind I assumed that they took the number of nonpowered x (Including kx as k is a yet figured-out number) and used it to find k because k needs to be figured out

    • @JustFeeshy
      @JustFeeshy Год назад

      @@Mathematical-Mind If you take out x from kx, you get k so if you do the same for others you start building a simple algebraic equation

  • @Arb294
    @Arb294 2 года назад

    Ooo now i understand comparing coefficients ty!

  • @wilsonybiernaslll2999
    @wilsonybiernaslll2999 2 года назад

    Thank you man, really helped me

  • @samkelosheperd7534
    @samkelosheperd7534 4 года назад

    So much productive keep the good work

  • @michibinyamin
    @michibinyamin Год назад

    You are the best.

  • @mgcinumuzincube8310
    @mgcinumuzincube8310 2 года назад

    Thank you so much. Well explained

  • @mbalinhlabathi620
    @mbalinhlabathi620 4 года назад +2

    Thank you so much, this was extremely helpful 🙏

  • @samplevideoes3405
    @samplevideoes3405 3 месяца назад

    What if the values for K is different for x and x² ? Suppose x³ - 6x² + 9x for factorising. If that polynomial = 0 than the values for K comes 0 and 17/2 respectively. So I put both and try to confirm?

  • @manasthapa6917
    @manasthapa6917 Год назад

    Thanks bro for this trick❤

  • @AbdAlrahman_AbdAlRaheem
    @AbdAlrahman_AbdAlRaheem 2 года назад

    Wonderful, thanks mate.❤️❤️❤️

  • @Nxxchll214
    @Nxxchll214 7 месяцев назад

    Bro thank you soo muchh❤

  • @rahulwani9198
    @rahulwani9198 Год назад

    Thank you very much 😊

  • @rushabhsolankkii
    @rushabhsolankkii 3 года назад

    Thank you so much brother it means a lot for us

  • @123rockstar2010
    @123rockstar2010 4 года назад +4

    Shortcut to K: ax^3 + bx^2 + cx + d =0
    If the root is positive, -[ c + d*(root) ] =K
    If the root is negative, c - d*(root) =K
    If the root is positive/negative, b + a*(root) =K

    • @blackeminem1293
      @blackeminem1293 3 года назад

      Thanks man 👍

    • @ishitagupta5317
      @ishitagupta5317 3 года назад

      How to guess abt the nature of roots 🙄

    • @JungKookOfficiaI
      @JungKookOfficiaI 2 года назад

      omg thank YOU

    • @JungKookOfficiaI
      @JungKookOfficiaI 2 года назад

      wait no, this is completely incorrect. This doesn’t always work. Smh

    • @123rockstar2010
      @123rockstar2010 2 года назад

      @@JungKookOfficiaITry this new method:
      k = [(d/-root)-c]/root
      Example: 2x³+x²-13x+6=0
      a=2
      b=1
      c=-13
      d=6
      By trial and error: ROOT=-3, so:
      k=[(6/3)-(-13)] / (-3)
      k=5

  • @abrajanoreymond3064
    @abrajanoreymond3064 5 лет назад +1

    I like the way you write the x

  • @raiylynmitchell5892
    @raiylynmitchell5892 2 года назад

    that's not a cubic polynomial function that's trinomial algebra. (correct me if i'm wrong)

  • @hashim5395
    @hashim5395 3 года назад

    thanks bro saved my grades

  • @erchguyj1234
    @erchguyj1234 8 месяцев назад

    What if there's no x term? What if it's an expression like 102x³+30x²-450=0

  • @francescoapg
    @francescoapg 2 года назад

    Thank you very much, sir

  • @danielchung0228
    @danielchung0228 4 года назад +1

    what was the point of assuming at the start? You can't just assume a number and get an answer

    • @eveshrajman2737
      @eveshrajman2737 4 года назад +1

      Hi Daniel. For a polynomial with the highest power of x being 3, there are a maximum of 3 x intercepts (there are sometimes less). Unfortunately, we do not have a way to solve for all 3. There are only methods of solving for 2 of the 3, which is why we have to guess 1 of the 3 at the start. The other method shown on the channel also requires the first x intercept to be guessed.

    • @endru8
      @endru8 9 месяцев назад

      ​@@eveshrajman2737cubic formula or double substitution?

  • @mikehenry2742
    @mikehenry2742 2 года назад

    Why did he change the problem .....and not ise the one that was first on the screen...??

  • @golddddus
    @golddddus 2 года назад +1

    1 0 -4 3 Synthetic division is the shortest way.
    1 1 1 -3
    1 1 -3 0 (x-1)(x^2+x-3)=0

  • @sushilsumanjena2682
    @sushilsumanjena2682 4 года назад

    Very helpful, thanks a lot 🙏🙏

  • @zx6506
    @zx6506 2 года назад

    Thank you teacher

  • @epikman7073
    @epikman7073 2 года назад

    Thank you so much

  • @khanabdul819
    @khanabdul819 2 года назад

    Excellent.

  • @zoljol
    @zoljol 5 лет назад

    Helped out, thanks

  • @hashirraza5308
    @hashirraza5308 5 лет назад

    Very helpful bro 💗🤝

  • @joyrajpaul4314
    @joyrajpaul4314 Год назад

    Thanks bro❤

  • @hustlekaro1557
    @hustlekaro1557 4 года назад

    Osm buddy👍👍👍

  • @avishkarajman5517
    @avishkarajman5517 8 лет назад +1

    Great Video! Really helpful.

    • @bridgethegapmath7576
      @bridgethegapmath7576  8 лет назад

      Hi Avishka. Glad it helped! Check out any of my math videos for more help. Or let me know what you would like me to do a video on!

  • @mrnoonealrokaoka
    @mrnoonealrokaoka Месяц назад

    Thanks a lot

  • @jaredngota1528
    @jaredngota1528 3 года назад

    Is understandable but the screen writings prevent us from seeing the writings

  • @unknown-mn9wo
    @unknown-mn9wo 4 года назад

    thank you so much!!

  • @prakashsuthar7526
    @prakashsuthar7526 4 года назад

    If there is one in the place of 3

  • @dana9796
    @dana9796 5 лет назад +28

    10 minutes to do just this? Good luck on a test.

    • @eveshrajman2737
      @eveshrajman2737 5 лет назад

      Hi Danial. If you have a calculator that has a table mode then you can guess all integers between - 5 and 5 while only inserting the function into your calculator once. After you have a factor then this method can be done quite quickly. I hope this helps.

    • @sibongilemakhanya5155
      @sibongilemakhanya5155 4 года назад

      🤣🤣🤣🤣🤣🤣🤣🤣🤣🤣🤣🤣

    • @sifisoxulu7739
      @sifisoxulu7739 11 месяцев назад

      😂😂😂😂😂😂😂

  • @hafizab4717
    @hafizab4717 11 месяцев назад

    Thank u sir

  • @indeceentertainment7156
    @indeceentertainment7156 3 года назад

    After the kx it should be positive 3 not negative 3.. 1 will divide 3 not -2... solving it with a calculator your signs interchanged comparing it to the calculators answer..

  • @pyronsue7592
    @pyronsue7592 3 года назад

    Thank you

  • @geetaazad7028
    @geetaazad7028 4 года назад

    Thanks🙏🙇

  • @sarataib513.02
    @sarataib513.02 Год назад

    I want help solving this ((-2x^4)+x^3 _3x _1)^3 please 🥺

  • @housseinnefzi5310
    @housseinnefzi5310 2 года назад

    i thought kx refers to quiquest

  • @chocolateangel8743
    @chocolateangel8743 3 года назад

    Once you have one root (and thus a factor), it's simpler to just divide.

    • @JungKookOfficiaI
      @JungKookOfficiaI 2 года назад +2

      division takes more time, kx method will solve this in 5 seconds

    • @endru8
      @endru8 9 месяцев назад

      synthetic division is easier and faster

    • @chocolateangel8743
      @chocolateangel8743 9 месяцев назад

      @@endru8 Synthetic division is only easier in certain circumstances. I don't care for it that much because I don't understand it as well as I do other methods.

  • @ishitagupta5317
    @ishitagupta5317 3 года назад +1

    ty ♡

  • @giwrgoscy294
    @giwrgoscy294 Год назад

    Thanks moooom!

  • @cuongtu6088
    @cuongtu6088 3 года назад

    verry good

  • @shyambaba137
    @shyambaba137 2 года назад

    x^3+x+1 iska solution batao

  • @Circa1628
    @Circa1628 Год назад +1

    Wait ?! Wait?! his first step was guess what would =0. How is that a step? Guess?!!

  • @suyashkhobragade401
    @suyashkhobragade401 3 года назад +1

    Your indian ,why this accent? Views? Bhai tune bagvan ka rasi banda hai right hand meh
    Edit : minus not negetive, I can bet your indian haha, bhai kajab accent banaya,aabhi kya scam company meh kam karte ho 😂😂 jokingly.
    Edit 2: I don't know if you would read this, 4yrs huh..,I didn't find this kind of video in whole RUclips. Their are cubic equations to factorise but all factorise it to =0 putting values for x. I have the equation without getting factorised,and was searching for this in RUclips for 1/1/2 hrs. Thank you so much for clearing my doubt.❤️

  • @soungji2529
    @soungji2529 2 года назад

    It is so difficult !

  • @KennedyMugambi-uv2zf
    @KennedyMugambi-uv2zf 2 месяца назад

    You solved it, but you were a bit too slow. Could have made it a 3-minute video

  • @edmetpassion8156
    @edmetpassion8156 4 года назад

    👍👍👍

  • @IqbalHamid
    @IqbalHamid 6 лет назад +1

    Here is how to not guess the GCF: ruclips.net/video/vUNgcN6MbjA/видео.html

  • @andrewvictor1489
    @andrewvictor1489 6 лет назад

    The best video ever

  • @sunidhimathur9624
    @sunidhimathur9624 4 года назад

    It takes more time

  • @aryangarg5912
    @aryangarg5912 6 лет назад

    I couldn't understand

  • @jaylordalmighty4018
    @jaylordalmighty4018 5 лет назад +2

    Too long...

  • @colbyclewis8141
    @colbyclewis8141 Год назад

    Who the hell draws x’s like that lmao

  • @ruidesu3986
    @ruidesu3986 4 года назад

    i was about to like ur vid, but then i realised u are making this much complicated. so no, i won't give my thumbs up

  • @yedukrishna6603
    @yedukrishna6603 4 года назад

    Indian ?

  • @Urmiladevi-z7w
    @Urmiladevi-z7w 4 месяца назад

    😂😂😂😂😂😂😂

  • @vinodkapoor2910
    @vinodkapoor2910 4 года назад

    Thanks man .
    This really helped.
    Can you solve this for me
    X^2-3=0

  • @tamsolo5663
    @tamsolo5663 3 года назад

    Awe!

  • @masteroogwayisntdead__1814
    @masteroogwayisntdead__1814 4 года назад

    Thank you so much man love ya no homo

  • @tajamulsir9620
    @tajamulsir9620 6 лет назад

    Good work #TajamulSir

  • @ZaraKhan-h4u
    @ZaraKhan-h4u 8 месяцев назад

    You should have to learn how to teach or speak....It looks like you teach yourself...🙄😡

  • @harshittaneja6423
    @harshittaneja6423 6 лет назад

    Kya mazak h..

  • @biharigaming8016
    @biharigaming8016 6 лет назад

    Time waste

  • @conzopontsho3253
    @conzopontsho3253 3 года назад

    You are talking too much

  • @ShivGamer
    @ShivGamer 4 года назад +1

    its completely trash absolute wsate of time please look into the video and get it removedd .....

    • @eveshrajman2737
      @eveshrajman2737 4 года назад +6

      I am sorry you feel that way. This method might not be the best one for your syllabus. It is a requirement in some parts of the world.

    • @ishitagupta5317
      @ishitagupta5317 3 года назад +2

      @@eveshrajman2737 I totally agree!
      I was so much frustrated by finding method to solve equations which don't have the term of x^2 and now I finally got here..
      I want to say a huge thanks to the creator of this video heartly!!
      thank you so much!

  • @DaEvideZ
    @DaEvideZ 3 года назад

    fake accent

  • @Mariatyra
    @Mariatyra 5 лет назад

    I don’t know about anyone else but the way he writes his X’s bother me !!!

    • @salvador116402
      @salvador116402 5 лет назад +1

      Yes it's frustrating. Two lines that cross. Not 2 sideways parabolas. Lol

    • @thomasvassilbrcic8110
      @thomasvassilbrcic8110 5 лет назад +4

      @@salvador116402 thats how you're supposed to write x's in algebra

    • @ishitagupta5317
      @ishitagupta5317 3 года назад

      @@thomasvassilbrcic8110 yup!

    • @JungKookOfficiaI
      @JungKookOfficiaI 2 года назад +2

      @@salvador116402 if you write it like a cross, you will get confused over times symbol and x. The legit correct way is )(