Finding All Zeros of a Polynomial Function Using The Rational Zero Theorem

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  • Опубликовано: 14 окт 2024

Комментарии • 598

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +30

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
    Next Video: ruclips.net/video/tRrPfxR5h-w/видео.html
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    Transformations of Functions: ruclips.net/video/tyQLp6x-GoU/видео.html
    Graphing Polynomial Functions: ruclips.net/video/rOOefdqMvtA/видео.html

  • @norvin7410
    @norvin7410 3 года назад +1849

    This guy is saving millions of students from failing. godbless this dude!

    • @rutii.a6428
      @rutii.a6428 3 года назад +29

      Amen! He saved me too.

    • @roblominmus
      @roblominmus 2 года назад +30

      I legit have a test on this topic tomorrow, he just saved my grades.

    • @absolute6422
      @absolute6422 2 года назад +11

      He’s a literal god send

    • @mekdestsegaye9825
      @mekdestsegaye9825 2 года назад +3

      Amen

    • @erikduzelljr
      @erikduzelljr 2 года назад +7

      Dude yeah. I'm taking online course and the explanations from professors suck. This guy explains simply and slowly so my dumbass can understand. Thank you!

  • @breadedlemon7067
    @breadedlemon7067 3 года назад +536

    I like how he doesn’t edit out his mistakes nor does he retake his recordings, it always feels like he does these videos in one go

  • @xkt-jz9dx
    @xkt-jz9dx 4 года назад +623

    Watched him from high school and now graduating with an associates all the way with him. Now it’s my turn to teach my little sister with his videos :)

  • @morriscallahan3549
    @morriscallahan3549 3 года назад +175

    I just spent 2 hours in a lecture and had no idea what the rational zeros theorem was, but then I watched your video and it takes 10 seconds to learn it. thank you.

    • @JuliusMwape-k6l
      @JuliusMwape-k6l 7 месяцев назад +1

      Mmmmm that's amazing, in 10 seconds

    • @abibibiiiiii
      @abibibiiiiii 3 месяца назад

      I literally just stopped showing up to lectures cause it feels like a waste of time. I don't learn anything

  • @hannahdadoll5008
    @hannahdadoll5008 4 года назад +90

    I was about to have a breakdown when I decided to open my RUclips and search for tutorial, thank God I found this. This is a big help for someone like me who had a modular class. Thank u so much

    • @sparrow9735
      @sparrow9735 3 года назад +2

      Same. I was just about to give up. Thank god I found this😭

    • @notsofiasco
      @notsofiasco 3 года назад +4

      I'm still having a breakdown because I still can't understand because I am THAT dumb😭 I badly need a personal tutor😭

    • @BlameAimAssist1717
      @BlameAimAssist1717 9 дней назад

      @@notsofiasco3 years later?

  • @Arthur-th4rm
    @Arthur-th4rm 5 лет назад +241

    As someone that has a professor that has a terrible accent, and it's impossible to understand anything he says. You are a life saver.
    I really appreciate your videos, thank you.

    • @daviemeister3355
      @daviemeister3355 4 года назад +24

      Yeah, I severely hate when that happens! Its not that I dislike those teachers... they are really nice! The problem is that their accent does not just suit the job in which they are teaching! Are we all so for diversity that we forget that its not about how diverse the teachers are but how they get the point across to the students? I am doing quite well in advanced functions right now.. I had a teacher with terrible accent, so not only do I not naturally understand her, but I naturally tune out when its impossible to comprehend. I had to search and search on my own, just to keep up. I just hope you were able to do well in that class...

    • @mohamedwael566
      @mohamedwael566 4 года назад +1

      Lol, same for me

    • @Em022
      @Em022 Год назад

      CC life in Seattle

    • @gabriella3831
      @gabriella3831 18 дней назад

      they have the irrevocable tomato

  • @arc1671
    @arc1671 5 лет назад +290

    should've done a problem that's first term was something other than a 1.

  • @mpc7440
    @mpc7440 3 года назад +1376

    There is a 100% chance that i will never use this for my nursing degree lol

    • @googlewebsite5953
      @googlewebsite5953 3 года назад +72

      prbly not but ive heard theres a surprising amount of math involved in nursing

    • @twomarinesandadunce1107
      @twomarinesandadunce1107 3 года назад +36

      Hey, a fellow nursing major using this bs

    • @bopiiq8947
      @bopiiq8947 3 года назад +3

      honestly same

    • @jaybirdeclipse3971
      @jaybirdeclipse3971 2 года назад +7

      Fr- as a future Vet/poultry science student(working on community College classes to go less into major debt lol)
      I'm never going to use this crap

    • @emberphoenix3039
      @emberphoenix3039 2 года назад +9

      Lol I want to go into an artistic career and I feel the same way. 🤣

  • @tmerkury2813
    @tmerkury2813 6 лет назад +217

    World's best tutor

    • @Angeloyoutube835
      @Angeloyoutube835 4 года назад +4

      Right. I’d rather have this guy as a teacher instead of my current one.

    • @velsiz6217
      @velsiz6217 4 года назад

      Seriously

    • @jeibi6483
      @jeibi6483 4 года назад +1

      Ikr, i feel like i owe this guy my life😳

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      @luisdiamante5541 3 года назад +2

      Hes already got a high amount of subscribers just in 6 months! Before he was 500k+ subs. Now hes already 2M!!

    • @ireallylikehuskies9472
      @ireallylikehuskies9472 3 года назад

      amen

  • @ghw024
    @ghw024 6 лет назад +304

    Hey I've been watching some of your calc videos and just wanted to say thanks for all the help, you are legit saving me from failing tomorrow, thanks!

    • @BrothersorTerraria
      @BrothersorTerraria 6 лет назад +1

      Goodluck man!

    • @sogeqt9188
      @sogeqt9188 5 лет назад +4

      just wanted to say that this is an Algebra 2 concept

    • @chekzz5352
      @chekzz5352 5 лет назад +8

      @@sogeqt9188 its present in cal, precalc, and sometimes in algebra 2

    • @Manny24_8
      @Manny24_8 3 года назад +2

      @@sogeqt9188 I didn’t have it in my algebra 2 course lmao

    • @randommonkey4900
      @randommonkey4900 2 года назад +1

      @@sogeqt9188 i never learnt it in alg2 just learning rn in precal

  • @tylerdruskoff9689
    @tylerdruskoff9689 3 года назад +39

    It’s 1am and a school night. This hw is due tomorrow. Thank you so much

  • @chair1694
    @chair1694 Год назад +38

    This is a pretty consistent way of factoring high degree polynomials, there's no weird algebra manipulations, and it's very repeatable

  • @nitamac1312
    @nitamac1312 6 лет назад +98

    YOU ARE A MATH ANGEL!!!!

  • @ToBreatheMusic
    @ToBreatheMusic 2 года назад +7

    I am pursuing a psych degree through an online university and currently taking a math course. I have been stuck on this topic for about an hour now and began to feel very defeated. I watched your video, and a light bulb went off in my head. A million times thank you!

  • @Gegajim
    @Gegajim 3 года назад +24

    This voice introduces peace to my brain

  • @1nonlytorres757
    @1nonlytorres757 3 года назад +49

    "make sure this is a zero, if not, something is wrong" that scared me bruv. lol

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    @averyleahy6268 2 месяца назад +1

    I love you sir...I was on the brink of tears before finding this. Bless you.

  • @c0da625
    @c0da625 3 года назад +14

    You’re a good teacher!!! Your videos are helping me with my maths. Thanks a lot man!!

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    @blackenwhite6190 Год назад +3

    I've been watching for 2 years now and just wanna say thank you so much this is really helpful

  • @oneandonlyjet3622
    @oneandonlyjet3622 4 года назад +30

    I would be like most others and say I'm watching your videos because my teacher sucks, but I for whatever reason fall asleep in my calculus class. Thank you for making your videos informative while remaining to the point. Doubt you'll read this, but thank you. Have a great day! :)

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      @abeehamakhi5148 4 года назад +2

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  • @bltoliver13
    @bltoliver13 4 года назад +10

    Definitely buying some merch after my final, you've saved me throughout my entire pre-calc class

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    @allawayn1005 4 года назад +7

    Idk how I appreciate this. you’re phenomenal

  • @stickshiftstarship
    @stickshiftstarship 2 года назад +2

    My instructor had us list all factors and try synthetic division over and over, your way is so much simpler! Thank you!

    • @lolerishype
      @lolerishype Год назад +1

      I suppose that method is technically more straightforward; but Organchem’s method is indeed faster.

  • @sebe1015
    @sebe1015 4 года назад +26

    That second example was exactly one of my exam questions. Following your steps, I ended up getting them right before I watched how you solved for them. Thank you!

  • @azuce2860
    @azuce2860 5 месяцев назад +1

    this is the best channel existing in the entire youtube, thank you so much

  • @LifeWithJB1
    @LifeWithJB1 2 года назад +1

    God bless this man fr…some of our math teachers don’t teach and just give the work but now I am understanding it!!!

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    @emperorshaggy7190 Год назад +1

    You really just explained everything math teacher has been trying to teach the class for the past 3 months in less than a half hour

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    @caribbeankpoplover 2 года назад +3

    I watched this man’s videos when I was studying Engineering Math in university and now I’m watching him again to teach my students 😊

  • @kingmac0058
    @kingmac0058 Год назад +1

    U teach better then my teachers u talk at a pace I can understand u

  • @georgesadler7830
    @georgesadler7830 2 года назад +2

    MR. Organic Chemistry Tutor, thank you for an extraordinary introduction to the rational zero theorem. This powerful theorem explains how to find all the zeroes of a polynomial function.

  • @CheatCodeSam
    @CheatCodeSam 5 лет назад +2

    always look for your videos when I have a problem in math. you got the best math videos on the net

  • @willw4096
    @willw4096 2 года назад +6

    1:50 "The purpose of the Rational Zero Theorem is for us to get the first zero, and then use that to get the others using synthetic divison."

  • @jylztimothyacoba8463
    @jylztimothyacoba8463 3 года назад +1

    So happy to have this type of teacher, i always understand his lessons this 2020......

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    @ill_sailtheoceaninsunset Год назад +1

    Hi I just want to say your video toturials are amazing I easily get it

  • @kokolin5876
    @kokolin5876 5 лет назад +25

    Thx for the saving my ass entire high school year

  • @elainel7503
    @elainel7503 5 лет назад +3

    thanks so much, you did it much faster and easier than other tutorials

  • @faysalarab
    @faysalarab 5 лет назад +14

    thank you professor *THE ORGANIC CHEMISTERY TUTOR* . YOU HELPED ME A LOT TBH

  • @kishaC-n6g
    @kishaC-n6g 11 месяцев назад +9

    i PRAY for you all my brothers and sisters who struggle may the LORD bless you with knowledge and understanding ASK and you shall recieve in LORD JESUS NAME AMEN!!!

    • @Austinator430
      @Austinator430 Месяц назад

      That verse is taken way out of context. Matthew 7:7-8 “Ask, and it will be given to you; seek, and you will find; knock, and it will be opened to you."
      The context here is clearly that of salvation, NOT that of wordly riches, or assessment understanding, although God may provide such knowledge if He so chooses to.

  • @seff2451
    @seff2451 10 месяцев назад

    im taking my final exam today and I can proudly say you pulled me through this course every single week without fail

  • @Justaguy-p2h
    @Justaguy-p2h 7 месяцев назад

    Had to pause at the second part, but did get the answer right. It's easy and manageable if you just take enough time to find the factors and stuff, very helpful.

  • @Thandoluhle-i1s
    @Thandoluhle-i1s 4 дня назад

    I just can't thank you enough sir your work is superb

  • @cerulean22b69
    @cerulean22b69 3 года назад +1

    Ok this is way simpler than the ALEKS explanation, also I find your voice kinda calming, I like the calm way you explain everything it really helps cause I'm cramming again and super stressed right now.

  • @ME-sz6fw
    @ME-sz6fw 3 года назад +1

    Thank you for teaching me what my teacher could not

  • @Sultan_A
    @Sultan_A 7 месяцев назад +1

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  • @alhassanmichael306
    @alhassanmichael306 2 года назад

    In fact, you are helping a lot of people. May God bless you.

  • @WhoTFMadeThisChange
    @WhoTFMadeThisChange 2 года назад

    I love you so much man, I can’t focus in class for some reason so you’re a saint to me

  • @mindmate0
    @mindmate0 5 лет назад +877

    why do you always sound like you are kidnapped and forced to make tutorials
    great video nevertheless

    • @natckwan
      @natckwan 5 лет назад +48

      so we can get high marks on our test

    • @manalibisht6865
      @manalibisht6865 5 лет назад +75

      do u want him to act like a clown or something

    • @sora_is_my_dad420
      @sora_is_my_dad420 5 лет назад +27

      It factors the polynomials or else it gets the the hose again.

    • @ravenreyvillacastin6264
      @ravenreyvillacastin6264 5 лет назад +36

      He makes it because he cares , and why the hell would you care about his voice when you can learn more from him bro? He saves all the students in my school because our teachers are lazy , so we thank him on how he takes effort making these videos we dont have blank answers on our exams👎👎👎

    • @MrStrutxD
      @MrStrutxD 5 лет назад +5

      unfunny, stop trying to be.

  • @Starwarp02
    @Starwarp02 4 года назад +2

    Thank you, your video helped me learn a section the professor skipped over but was still needed for the final

  • @miss.tofunmi
    @miss.tofunmi 2 года назад +2

    My tests has been saved

  • @aruukane819
    @aruukane819 Год назад

    As a dude whos knowledge at math is Mid-Average,You have no Idea how much I want to thank you from the bottom of my heart for this lesson

  • @seynawynn4974
    @seynawynn4974 2 года назад

    By far my favorite RUclipsr!!!! Thank you !!!

  • @jayjoetenry7656
    @jayjoetenry7656 5 лет назад +9

    Thanks for the help man im in algebra II and this is really helping me

  • @sarahdemonia5591
    @sarahdemonia5591 2 года назад

    Thank you! I have a calculus pretest in a few days and this concept panicked me--but this video allowed the idea to come back to me and I am not as afraid anymore. Thank you!

  • @ANJ2688
    @ANJ2688 Месяц назад

    Bro i understood it like piece of cake. I sat up all night and i was wracking my head on how to begin doing this thing and it just didn't click. Thank you so so so much.

  • @brendanyazzie2774
    @brendanyazzie2774 3 года назад

    u explain it much easier than the book does, online school has its negatives

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    @Fusion4Dayz 5 лет назад +6

    I use your videos for linear algebra (eigen values / eigen vectors). Thank you so much!

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    @jeffreybrasier794 2 года назад

    I can't tell you how much I love your videos. You have countlessly saved my life from failing

  • @blacktutor16
    @blacktutor16 Год назад +21

    please what if the coefficient of x^3 is not 1? will u multiply it by the coefficient or find their factors separately?

    • @person-cf3di
      @person-cf3di Год назад

      ruclips.net/video/W9OBqw2JLpE/видео.html this video explains it

    • @brysongummerus6481
      @brysongummerus6481 Год назад

      Find factors seperately

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    @corruptstrife9136 Год назад

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    @egg-jj4qr 2 года назад

    bro idk why but i feel calm when i hear this guy's voice in every video

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    @blatshesz.s7964 Год назад

    I tried to read this from my textbook and that was an awful experience. Watching this video helped to save my time

  • @andreat.4071
    @andreat.4071 5 лет назад +3

    Grade 10 students here na hindi naintindihan ang turo ni ser Kaya nanood ng video nato ngayon!!!

  • @SomeRandom_personInTheInternet

    THANK YOU SO MUCH FOR MAKING MY LIFE WAY EASIER!!!!!

  • @anastasnikolov9396
    @anastasnikolov9396 4 года назад +4

    Nice explanation, you could use Horner's method right from the start instead of plugging in the values manually. It would save you ton of computation and you would end up with new coefficients right when you find the root so it saves you some time. Still very nice video :)

  • @Thorite_Gem
    @Thorite_Gem Год назад

    This video is far more helpful than my professor was. Thank you so much!

  • @excuhvis6221
    @excuhvis6221 4 года назад +1

    This guy is a king!! Way better than those stupid ass videos my instructor provides

  • @DechasaGemeda-l1n
    @DechasaGemeda-l1n 7 месяцев назад

    I just appreciate you for your best teaching it

  • @fin07
    @fin07 9 месяцев назад

    this is helping me out immensely, thank youuuuu 😭😭

  • @limitzlol7274
    @limitzlol7274 Год назад

    i just learned like a whole chapter of math that i had no idea what was happening in, in legit 2 minutes like one example and i get it
    thank u sm

  • @grumdinnerbone
    @grumdinnerbone Месяц назад

    My PreCalc prof took a day off and chose not to teach us this. Thanks a million

  • @Melisa-oz6kb
    @Melisa-oz6kb 6 лет назад

    YOU'RE SERIOUSLY THE BEST TUTOR EVER

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    @midwestmatcha 4 года назад

    Still searching RUclips for math help?
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    @evyeamdal 2 года назад

    I swear you are my favorite person alive

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    @moof1232 Год назад

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    @jacebrowy1420 3 года назад

    I have a test today and I knew nothing so I watched a ton of ur vids on what I was learning and it helped a lot so thank u and pray I do good on my test

  • @jules7174
    @jules7174 4 года назад

    You need an award, thank god he made smart people like you

  • @susheetofu
    @susheetofu 2 года назад

    oh wow you teaching are so good tysm without you i would fail my test TYSM!!!!

  • @Gardiencotier13
    @Gardiencotier13 3 месяца назад

    Great video. however could you do one with 4 zeros. example: x^4+2x^3+8x^2-16x-32. I understand they aren't all real, but in fact an imaginary zero(s) aswell. I just have trouble with knowing when to use the quadratic formula vs factoring!

  • @maviskkakeza3987
    @maviskkakeza3987 Год назад

    Loving your teaching 👊

  • @victorw.2668
    @victorw.2668 2 года назад

    I love you sir, I really do, making my questions no more questions.

  • @Abraham-gf1oi
    @Abraham-gf1oi 4 года назад +16

    Oh my goshh. I still don’t understand and I don’t know what I’m doing wrong. You said if it doesn’t equal zero there’s a problem. What’s the problem!? I don’t know what I did!!!

    • @cassandrafitydjx7462
      @cassandrafitydjx7462 4 года назад +6

      Remember factor theorem? If the polynomial is factor to the division, it should result into 0, if there is a remainder, then it is not a factor.

  • @D0nkkkkkk
    @D0nkkkkkk 5 лет назад +2

    Love you man. Best on RUclips.

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    @saltystuka4119 3 года назад +1

    You are an angel sir, thank you

  • @ahmadfarisnurmohdmazlan5532
    @ahmadfarisnurmohdmazlan5532 3 года назад

    Thanks for the guide man, really need it. Wish me luck. Have an exam 2 hours from now.

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    @starlightakabane4686 2 года назад

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    @WTHnada 3 года назад +5

    this is the first video ive seen him make a mstake in lol. its okay i trust you!

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    @jeanettegomez9984 5 лет назад +2

    Learn a lot from your videos! Can you please make one with function table of fog gof fof etc.? Thanks!

  • @idwpercy
    @idwpercy 5 лет назад +2

    just wanted to say thanks, you are explaining tons of math in a way that will allow even my dumb ass to pass my exam tomorrow

  • @rosiewoodland23
    @rosiewoodland23 Год назад +1

    Thank you so much, I've been struggling with this concept and you helped me tremendosly!

  • @bnifacemwale1730
    @bnifacemwale1730 3 года назад

    He has helped alot in my academic career

  • @purplejam1470
    @purplejam1470 Год назад +2

    Question about the first example, how did the -5x turns into ±3? (In the introducing example thingy)

  • @mryeminaung
    @mryeminaung 4 года назад +1

    Thanks you for your help.

  • @ruyi7284
    @ruyi7284 2 года назад

    you are better than my professor in the Uni

  • @serinacat4781
    @serinacat4781 4 года назад

    Best explanation on youtube

  • @IsabelRodriguez-nv2ue
    @IsabelRodriguez-nv2ue 3 года назад

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    @alicebloomfield4295 3 года назад

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    @zplusacademy5718 2 года назад

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  • @selmerial
    @selmerial 2 года назад

    you are a genius. god bless you.

  • @rutii.a6428
    @rutii.a6428 3 года назад

    Thank you very much! this video helped me a lot. God bless you!💙💙