Remainder Theorem and Synthetic Division of Polynomials

Поділитися
Вставка
  • Опубліковано 15 гру 2024

КОМЕНТАРІ • 452

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +33

    Algebra - Free Formula Sheets: bit.ly/3CBeZMY
    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
    Next Video: ua-cam.com/video/B3bWbon_5WY/v-deo.html

    • @AbenezerGezahegn-kr9ug
      @AbenezerGezahegn-kr9ug 21 день тому

      Im confused can i use synthetic division for functions starting without an exponent of 4

  • @justgaming8099
    @justgaming8099 5 років тому +1406

    It might be a year ago but this guy helped countless lives of students' grades

    • @smitachaudhary9519
      @smitachaudhary9519 4 роки тому +10

      For my study till date.. I always preferred Vidya Guru videos. Their short cut tricks proven so helpful to attempt maximum questions in exams.

    • @aeisharodriguez1567
      @aeisharodriguez1567 4 роки тому +3

      Omg yess!!!

    • @devio10
      @devio10 4 роки тому +8

      Yea especially now during quarantine where everyone's dealing with online classes and modules

    • @hanster8610
      @hanster8610 3 роки тому +2

      At least 250k

    • @nicoagno2564
      @nicoagno2564 3 роки тому

      True HAHHA

  • @mohamedabdelgadir1147
    @mohamedabdelgadir1147 5 років тому +676

    this man is better than my teacher

  • @firstnamelastname1267
    @firstnamelastname1267 5 років тому +291

    Khan Academy got themselves a rival! Gotta say though, I'm leaning more towards this channel.

    • @samwinkwink2577
      @samwinkwink2577 4 роки тому +27

      lol I know right, sometimes Khan is the better teacher and sometimes this guy is better

    • @yontis1329
      @yontis1329 3 роки тому +11

      I always watch everyone's videos until one of them helps the concept click in my brain.

    • @fazepug1982
      @fazepug1982 3 роки тому +11

      they both helped me, so i;'m not leaning towards any of them :)

  • @salimabdulhalim8148
    @salimabdulhalim8148 5 років тому +241

    You are one guy that is making the world a better place. One teacher who teaches MILLIONS.

  • @yummimuffuun6496
    @yummimuffuun6496 5 років тому +88

    These videos make the most sense to me. Rather than that 80s dude.

  • @patrickngo9292
    @patrickngo9292 5 років тому +32

    I don't know what I should say to let you know that this helps me a lot. I appreciate it! You're my hero!

  • @zippymallows4743
    @zippymallows4743 4 роки тому +53

    This guy makes more sense in teaching math than the other teachers in my school

  • @moiponepoho
    @moiponepoho 4 роки тому +88

    Thank you very much, you make math interesting. Especially when you use mental math instead of a calculator, you keeping us on our toes.

  • @snowfl4xe407
    @snowfl4xe407 3 роки тому +42

    "so wyd for valentine's day?"
    TOCT: saving lives, ykno just the usual

  • @melophile8569
    @melophile8569 Рік тому +18

    I love this man's voice. I LOVE learning by him 💗

  • @mikeycates4989
    @mikeycates4989 3 роки тому +11

    i learn more from this than my own school and in only like five minutes... this man gets me better grades than my own teachers

  • @y.rodriguez4867
    @y.rodriguez4867 Рік тому +6

    It’s been 5 years - and this man is still saving lifes.

    • @sakuraifrlegends
      @sakuraifrlegends 6 місяців тому +2

      Your PFP is gorgeous

    • @QWERTY.Ph7
      @QWERTY.Ph7 2 місяці тому

      Sarak aur tharak Kahi Bhi le jati hy

  • @user-mr3wf3xy4t
    @user-mr3wf3xy4t 4 роки тому +29

    I'm just advance studying since I'm being grade 10 next school year, and it was said that this was one of their lessons. I tried to make fun of the equations and made my own equations and still, f(c) and tbe remainder is ALWAYS the same, which I was so amazed how accurate this theorem is. Thanks!

    • @jbwoy5615
      @jbwoy5615 4 роки тому

      How does he take 0 as a coefficient of X?

    • @krislegends
      @krislegends 3 роки тому

      @@jbwoy5615 because all terms of an equation has a power, from lowest to highest. Then if one term is missing, then the variable of that power must have a coefficient of 0, which when multiplied by zero equals zero. In math, anything equal to zero is not included.

    • @grazelyn7063
      @grazelyn7063 3 роки тому

      i love your profile picture hahaha!

  • @renznoble7689
    @renznoble7689 3 роки тому +15

    Everything in this channel really helps a lot bcz right now students are self learning which is pretty hard specially at math

  • @lilahjohnson8411
    @lilahjohnson8411 4 роки тому +7

    Omg I am so amazed!!! This would have taken me ALL day to listen to lessons on my online school course and I comprehended all of this in 10 mins. Thank You!!!

    • @blep295
      @blep295 4 роки тому

      hi idk if u can see this but at 8:33 they added two zeros and I'm lost can u please explain why they added the two zeros even though it had x^2/xsquired since they explained at 5:15 we add zero because it doesn't have x^2/xsquired

    • @ssinistershorts
      @ssinistershorts 3 роки тому

      @@blep295 heyy idk if you still need help but imma help you,
      alright so the equation has 2x^4 and then 3x^2 then 30 which has no x, in such situations you have to add numbers to replace the missing power, in this case it a number with a power of 3 and a power of 1. when u add the non existing powers you always have to add them as 0x^n where 0 is constant and n is the power missing. if the equation had a number with the power of 5 but no number with the power of 4 then you will have to add 0x^4.
      so the equation in the end (the one in the video) would look like:
      2x^4 + 0x^3 - 3x^2 - 0x + 30
      (notice that you dont write the number 1 when the number is to the power of 1)
      hope this explained c: if you still need help you can reply and ill be sure to help you.

  • @Eizzen_
    @Eizzen_ 4 роки тому +26

    I learned a lot for 10 minutes instead of that 30 minutes study

  • @CHRF-55457
    @CHRF-55457 Рік тому +2

    wow... wasnt expecting to understand the Fact Remainder Theorem within 3 minutes of watching this video... your a life saver.

  • @aeisharodriguez1567
    @aeisharodriguez1567 4 роки тому +11

    Seeing how he add the numbers in his head opened new opportunities for me👌🏼👌🏼🙏🏼🙏🏼😄

    • @LeKidClaw
      @LeKidClaw 20 днів тому

      He would be multiplying numbers like 3 by 633 in a nano second 😂.

  • @karlzedric3614
    @karlzedric3614 4 роки тому +3

    You're the best teacher ever!!! Keep it up! You can help other ppl like me who can't understand their teachers

  • @georgesadler7830
    @georgesadler7830 2 роки тому +17

    MR. Organic Chemistry Tutor, thank you for analyzing and explaining the Remainder Theorem and Synthetic Division of Polynomials. These are useful tools in all levels of science and engineering.

  • @AlphaDavid66
    @AlphaDavid66 3 роки тому +4

    Khan and OCT should drop the hottest studyguide of 2021

  • @xoxodelphi
    @xoxodelphi 4 роки тому +11

    i prefer this guy to my math teacher.

  • @jackwilson7018
    @jackwilson7018 5 років тому +92

    Wait the original expression had, - 12, not 12

    • @raid2654
      @raid2654 5 років тому +8

      I might be late but it became postive because +24 - 12 is +12

    • @ohsweetea
      @ohsweetea 5 років тому +6

      @@raid2654 he meant the original expression. it was positive 12.

    • @azyle2104
      @azyle2104 4 роки тому +5

      Fuck I see it now , lemme see if I can find out why 2:46

    • @azyle2104
      @azyle2104 4 роки тому +6

      Wait he did correct that at 3:20

    • @Chrisymcmb
      @Chrisymcmb 4 роки тому +2

      @@azyle2104 Yea he did

  • @zeenatkazi721
    @zeenatkazi721 3 роки тому +16

    I never knew it was this easy !
    Thank you for making us understand :)

    • @瘋狂是真實的
      @瘋狂是真實的 3 роки тому

      On the second question why did they add zero

    • @lexipalmieri7358
      @lexipalmieri7358 3 роки тому +1

      @@瘋狂是真實的 because the exponents need to go in descending order for synthetic (and long division w/ polynomials) to work. I can’t remember example 2, but another example would be 3x^4 - 2x^2 + 4x - 5. There is no x^3 in that polynomial, but technically there is a 0x^3 (since zero times anything is zero, it doesn’t change its value) so you would just put a 0 in between the 3 and -2 (in this random example I made up) when dividing. Hope this helped

  • @cwillywonka2
    @cwillywonka2 Рік тому +1

    Thank you for teaching everyone that watches your vids

  • @Renjoku
    @Renjoku 2 роки тому +2

    The Organic Chemistry Tutor>>>

  • @Kewchy377
    @Kewchy377 2 роки тому +1

    I seriously love you very much.... I almost had a stroke trying to figure this out in class, you made it so easy THANK YOU!!

  • @gsadf491
    @gsadf491 11 місяців тому +2

    He is legit carrying me in both math and chemistry

  • @FuadConteh-y9d
    @FuadConteh-y9d 2 місяці тому

    You're truly a hero
    You're the main tutor of my Pre-pharmacy programme 😊
    Thank you so much

  • @rayzer911
    @rayzer911 Рік тому +14

    At 2:57, in the synthetic division it was supposed to be -12 not 12

    • @absolutelyaweirdo
      @absolutelyaweirdo Місяць тому +2

      Did you finish the video?

    • @LeKidClaw
      @LeKidClaw 20 днів тому

      Seeing him make that mistake made me feel much better about myself

  • @Giankurl
    @Giankurl 10 місяців тому +1

    At first, the concept of remainder theorem was very complicated for me, but through this help full tutorial, I managed to understand it better. thank you very much

  • @nahiyanishtiaque1283
    @nahiyanishtiaque1283 3 роки тому +8

    1:04 sounds like he's saying "let's f*****g four first" lol

  • @literatureandgaming-yt9352
    @literatureandgaming-yt9352 2 роки тому +1

    3 Examples and I already know what i'm doing. This guy's a legend

  • @mrs6053
    @mrs6053 5 років тому

    This guy crushes Khan...very clear and not annoying...color change not needed...perfect pacing

  • @doierry772
    @doierry772 Рік тому +1

    THANK YOU!!!! I couldn't understand this from the teachers explanation so this was really helpful

  • @jraymen9336
    @jraymen9336 3 роки тому +1

    I CAN SAY LIKE U HELPED A STUDENTS EVEN WE COUNT WE CAN'T FINISH IT. THANK YOU TEACHER THE UTMOST RESPECT

  • @michaelmwila3406
    @michaelmwila3406 2 роки тому +1

    He's math skills is on another level.

  • @pranavsadeni6656
    @pranavsadeni6656 3 роки тому +1

    your videos are the best understandable because of your accent it is flowing like butter

  • @JosephKutei
    @JosephKutei Рік тому +1

    Great work..God be with you.. you've really helped countless student worldwide

  • @renaewilliams3618
    @renaewilliams3618 4 роки тому +5

    Like damn these videos be helping me a lot...i use to fail but now I'm on my way to an A

  • @lorisunico1073
    @lorisunico1073 4 роки тому +3

    Thank you! I have been having a hard time understanding Math since we don't usually have the classes

  • @JOSESJONAH-gx4dc
    @JOSESJONAH-gx4dc 6 місяців тому

    Wow, just watched this video and I clearly understood the concept.
    What my lecturer tried explaining in hours, confusing himself and we, this man just taught it well in less than 11 min
    🔥👏👏

  • @nooblogs2408
    @nooblogs2408 3 роки тому +1

    i hope this man have a good health and more topics in this channel

  • @Pole_Gabitano910
    @Pole_Gabitano910 2 роки тому +1

    You're a Legendary Math Wizard.

  • @audreywoodall1106
    @audreywoodall1106 2 роки тому +1

    This is seriously helping my math Grades!! Thank you so much!!

  • @priscakembo
    @priscakembo Рік тому +1

    You are the greatest of all times

  • @freakayy
    @freakayy Рік тому +1

    this man is underrated

  • @innocentusmbuta7020
    @innocentusmbuta7020 4 роки тому

    This is the best.. Am watching from Kenya 🇰🇪

  • @_bonitajessy
    @_bonitajessy 3 роки тому +3

    This has helped me so much especially in the corona pandemic

  • @Justitialove
    @Justitialove Рік тому +1

    Thansk for this info . My lecturer was making remainder Theorem so complicated

  • @simanami2005
    @simanami2005 2 роки тому

    First week at a Tech school it has been hectic but with your tutoring, my grades had soared. I have no clue whatsoever how I could repay you.

  • @NathanAndreiBacsa
    @NathanAndreiBacsa 10 місяців тому +1

    Thank you, I now understand the remainder theorem and synthetic division of polynomials.

  • @nezu727
    @nezu727 11 місяців тому +1

    my math test is literally tomorrow and in 10 minutes you explained it better than our teacher that had like 2 months

  • @eusebiomontejo1391
    @eusebiomontejo1391 5 років тому +13

    Love the accent! Thanks for your help!

  • @idxluaviation
    @idxluaviation 9 місяців тому +1

    Just came to say I really appreciate your channel. You deserve every subscriber and view you get! THANK YOU for helping out all of us in a clean and well explained manner.

  • @GenetKebede-o1h
    @GenetKebede-o1h 5 днів тому

    Bro you are the best no one is ur level u have saved my career thanks u ❤❤❤❤❤

  • @alexismanaig1645
    @alexismanaig1645 4 роки тому +2

    Thank you its a big help for us especially for those students who chose modular

  • @InfiniteKamoi
    @InfiniteKamoi Рік тому +1

    Thank you soo much for these math videos! You helped me soo much and you don't know how much you have helped me! Keep up the awesome math vids for future generations! :D

  • @ninjapirate123
    @ninjapirate123 Рік тому +1

    This helped me on my homework

  • @AndreeBoiiii
    @AndreeBoiiii Рік тому

    this is so helpful now i am in 10 grade and this guy is my savior

  • @melon0637
    @melon0637 4 роки тому +4

    The difference between this and my teacher is that my teacher is either covering the board or her voice inaudible and her explanation is confusing.
    Well at least a year ago when it wasn't online class. It's mostly self-study now.

  • @raphfs
    @raphfs 2 роки тому +2

    5:05 one thing i dont understand is that why there's a zero in there how did you put it plz help me.

    • @Doorodoor
      @Doorodoor 7 місяців тому +2

      U don't have X2 you only have X4and X3 for you to complete the eqn you have add zero in the place of X2 . I don't know if it is the correct statement but it is my view 😊

    • @elfordanson
      @elfordanson 7 днів тому

      ❤​@@Doorodoor

  • @unanpangandaman9894
    @unanpangandaman9894 4 роки тому +9

    I am helping out a friend for her assignments so that brimgs me here to review remainder theorem. It was explained throughly and thank you for that.
    May I just take time to appreciate the speaker. He did such good explanation. And can I say that he has so sexy and hot voice lol 😂

  • @kevinlachica4728
    @kevinlachica4728 4 роки тому

    I just wanna say thank u for this..you save my life

  • @marlonpalaje2633
    @marlonpalaje2633 11 місяців тому +1

    My UA-cam teacher ❤

  • @will5026
    @will5026 3 роки тому +1

    Thanks man, I haven't had algebra since junior year, as I did accounting senior year. Im in my third year of college and just now started algebra lol

  • @yasodha3197
    @yasodha3197 4 роки тому

    this man is is very much better than my teacher i want this man to be my math teacher

  • @sticktotheplan9591
    @sticktotheplan9591 4 роки тому +1

    Thank you, now I understand how to use synthetic division

  • @thedaviscurry
    @thedaviscurry 2 роки тому +1

    Thank you I really needed help on my homework

  • @Lillie_31
    @Lillie_31 Рік тому

    lemme say that math is one of the most hardest but is the most rewarding subject

  • @abdulazisamito9833
    @abdulazisamito9833 Рік тому +1

    Its been 5 year ago and this video still help a student like me ❤🥰

  • @chithrahettiarachchi9009
    @chithrahettiarachchi9009 2 роки тому +2

    Thank you so much for your precious explanation ☺️🤗

  • @makahiyajay
    @makahiyajay 3 роки тому

    your amazing after you explained it I said, "that's it!?," I swear I be overthinking Math thanks for your help definitely subscribing

  • @suwilanjisimbule5178
    @suwilanjisimbule5178 Рік тому +1

    Thank you once more... You're the best

  • @trapper_manadriller1158
    @trapper_manadriller1158 Рік тому +1

    The best teacher

  • @pranavsadeni6656
    @pranavsadeni6656 3 роки тому +1

    I wonder why people are disliking his video but I am sure people who are jealous of him are disliking his video's if think the same like my comment bc I wanna see who is with me common it is 100% true

  • @dawitergichofanta7093
    @dawitergichofanta7093 4 роки тому +1

    Thank you very much. Looking forward to catching ur next video

  • @kaur2478
    @kaur2478 3 роки тому

    Ur voice is so calming omll

  • @abbyf9882
    @abbyf9882 5 років тому +3

    This helps a lot. But what do you do when you are solving for the zeros?

  • @kevinhernandez7974
    @kevinhernandez7974 5 років тому +5

    The Best !!! Thank you. Highly recommended

  • @adrianarcher418
    @adrianarcher418 3 роки тому

    I learned from this video so Quickly

  • @medevilcat4887
    @medevilcat4887 6 місяців тому

    🙏😌. Hope god blesses you sir. Thank you soo much for making this topic easier than what my teacher teaches. This video made me understand everything very deeply and clearly.
    Not even FITJEE or my school have explained this topic this clearly. Have a good day >3

  • @JCEurovisionFan1996
    @JCEurovisionFan1996 6 років тому +6

    Can you upload a video of finding the value of k so that the remainder is zero?

    • @shillymaequinco63
      @shillymaequinco63 6 років тому

      I think that you're talking about factor theorem.

    • @prisonmike9186
      @prisonmike9186 4 роки тому

      Might be late but instead of 60 you need the equation to equal 0 both ways so you got to find a x value that will get you 0 in both sides. Then put it into factor form. For ex. If the number is 2 that makes it 0 it will be x -2 or if it was -3 it would be x+3. Then you would use synthetic division

  • @VictoriaSarfo-tl9zz
    @VictoriaSarfo-tl9zz Рік тому +1

    Men this is really helpful 😊😊😊😊😊❤❤❤

  • @isaacR707
    @isaacR707 5 років тому +2

    You have been a life saver

  • @ibrahimbadran1609
    @ibrahimbadran1609 2 роки тому

    You just saved me 3-4 hours man

  • @777kerokeropi4
    @777kerokeropi4 3 місяці тому +1

    2:05 our divisor in the example is x+2 but when it was used it lost the x and was turned to -2 someone explain

    • @Nininjis
      @Nininjis 2 місяці тому

      X+2=0
      X=(minus 2)cant find minus sign for some reason😅😅

  • @lilu_3.
    @lilu_3. Рік тому +1

    I think I understand everything , but i don't understand why we have to put down the zero between the -3 and the 30 i don't understand why?

    • @lilu_3.
      @lilu_3. Рік тому

      Why we have to put zero???

    • @Doorodoor
      @Doorodoor 7 місяців тому

      ​@@lilu_3.Even me I was wondering but I think it is because we don't have the X1 power we have both X4 and X2 but not X3 so he changed it to zero the same applies to this we don't have X 1 or X they are the same since we don't have we will do it like the same we did to X3 and change it to zero . Hope that helps

  • @cheesechizu5425
    @cheesechizu5425 3 роки тому +2

    Thanks for teaching us your ways. I feel like I'm not gonna pass junior high because I didn't listen to my teacher last school year. Thank you for giving me hope.

  • @aaronkimutai7848
    @aaronkimutai7848 4 роки тому

    he really does this job

  • @sheldonblackwood4483
    @sheldonblackwood4483 4 роки тому +2

    Nice.. so how did we get a 0 coefficient of x raised to the 3rd?

    • @raunak__.3295
      @raunak__.3295 4 роки тому +1

      sheldon blackwood it’s because there was no x to the 3rd; whenever you’re missing a power in the polynomial you’re dividing, put the coefficient as a zero and then continue. Hoped that helped!

    • @zwicky1818
      @zwicky1818 2 роки тому +1

      @@raunak__.3295 how do you identify if it is missing? im really sorry for asking this.

    • @Doorodoor
      @Doorodoor 7 місяців тому

      ​@@zwicky1818 You can know by identifying the eqn for example if it is 2x4+3x3-5x+2 now you see the power X2 is missing like he did in his examples hope that helps 😊

  • @ItsYaa22
    @ItsYaa22 2 місяці тому

    This guy is life saver frfr

  • @hebercastellanos6725
    @hebercastellanos6725 2 роки тому

    Man youre helping me so much for study thanks man appreciated

  • @DaliasVlogs34
    @DaliasVlogs34 14 днів тому

    this man saves me a night before finals

  • @eanimperial614
    @eanimperial614 5 років тому +2

    In the last equation you should also add another 0 for the coefficient of x because it is missing in the equation

  • @BiggestFanOfMrflimflam
    @BiggestFanOfMrflimflam 3 місяці тому

    I love this, thx for helping me always wish u were my math teacher 😭

  • @aidaofrece6606
    @aidaofrece6606 5 років тому +2

    how did you get the f(4)?? explained it.plss I need to know it

    • @user-bt7jk7nf5l
      @user-bt7jk7nf5l 5 років тому

      you don't get f(4), it's already given

    • @aidaofrece6606
      @aidaofrece6606 5 років тому

      ah...yeah right ..eheehehe I forgot .it's already given.but anyway thank u

  • @amanooz8668
    @amanooz8668 9 місяців тому

    never failed to help, thanks alot

  • @tshepisocollenmkhwanazi8522
    @tshepisocollenmkhwanazi8522 2 роки тому

    Does the videos from 4 years ago help? Yes, They have helped me, I don’t know about other