Solving Polynomial Inequalities

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  • Опубліковано 1 січ 2025

КОМЕНТАРІ • 253

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +9

    Algebra - Free Formula Sheets: bit.ly/3CBeZMY
    Next Video: ua-cam.com/video/cjXseEPP9vc/v-deo.html

    • @NafiruMoshood
      @NafiruMoshood Місяць тому

      Please can you like make a video playlist of all your videos on subjects respectively

  • @nanothefruit8063
    @nanothefruit8063 6 років тому +542

    THIS GUY IS SO GENEROUS
    IT IS BECAUSE OF PEOPLE LIKE HIM HUMANITY IS ALIVE
    LOVE YOUR VIDEOS

  • @marcusinternet
    @marcusinternet 5 років тому +624

    you explained to me in 12 minutes what my teacher couldn’t explain in 90 🙏🏼

    • @terriertenacity
      @terriertenacity 4 роки тому +19

      I spent an hour with my college textbook and you did in minutes what it couldn't do at all. Thank you!

    • @Baskl757
      @Baskl757 4 роки тому +6

      He explained in 12 minutes what my teacher explained in 2

    • @monsterlordgaming6317
      @monsterlordgaming6317 4 роки тому +2

      Thats why we see yt

    • @nic2272
      @nic2272 4 роки тому +1

      facts

    • @darkking0727
      @darkking0727 3 роки тому +3

      At least your teacher tried... We ran out of time so she just gave us our worksheet with 11 of these problems

  • @todddevere8597
    @todddevere8597 3 роки тому +69

    You have saved my grade in math so many times- thank you from the bottom of my heart for doing what you do

  • @金森幸子-p3x
    @金森幸子-p3x 3 роки тому +30

    I have an exam in half an hour and I'm trying to relearn everything because I didn't understand the first time. Thank you for this!

    • @Yahoooo.1
      @Yahoooo.1 Рік тому +2

      How did it go ?

    • @ShauryaBaloni73
      @ShauryaBaloni73 2 місяці тому +2

      ​@@Yahoooo.1From the time you asked, he had given that exam 2 years ago, he would hardly remember the result 😅😅

    • @Elisarrrr
      @Elisarrrr 2 місяці тому +1

      @@ShauryaBaloni73 bro probably graduated lol

  • @IMathTutorial
    @IMathTutorial 4 роки тому +44

    It's the best tutorial.. thank you

  • @ngoemma8215
    @ngoemma8215 3 роки тому +11

    JG, how I wish I know u in person. I really find it extremely difficult to describe how gifted and important you are to humanity! Please, continue with this good tutorial work bcos generations unborn that are yet to come will also watch these videos and keep thanking you forever! What could be more than that? We deeply hold you in high esteem bcos you've been doing what our lecturers and Professors couldn't do for us while at colleges and universities. Thanks man!!!

  • @dylanspinks9338
    @dylanspinks9338 11 місяців тому +3

    how much quicker i learned this from you rather than my own teacher is crazy

  • @jlobz_8128
    @jlobz_8128 4 роки тому +103

    tip: you don't need to solve all 3 regions, just solve the one on the left. once you solve it, then the region to the right will always be the opposite sign of what the first one is and so on

    • @kiwistuffypistachio2558
      @kiwistuffypistachio2558 4 роки тому +9

      I’m gonna comment on this so I can remember

    • @mistadude
      @mistadude 4 роки тому +3

      You can also solve the one on the middle or the right too the right might be easiest

    • @reallybad7062
      @reallybad7062 4 роки тому +2

      Another tip: sometimes inequality can have more than 3 sections. Just make sure you solved all your roots, then you can assume.

    • @sirdele
      @sirdele 4 роки тому +2

      i always check 0 and then one of the regions checks out

    • @sarmadsultan7981
      @sarmadsultan7981 3 роки тому +1

      Can you prove it? Generally. Not with examples! 🙂

  • @veronimacaroni1382
    @veronimacaroni1382 6 років тому +25

    thank you so much. I hate math but I always feel excited when I finally get the answer right, and this video helped clear things up for me so that I could get there.

  • @arianepalaruan5208
    @arianepalaruan5208 6 років тому +4

    Your videos are so underrated! I hope a lot more people visit this channel

  • @plutoqueen7295
    @plutoqueen7295 4 роки тому +14

    i didnt understand what my teacher said for a whole damn week and u explain this in just 12 mins 🙂💀
    thank you 🥲✨

  • @Genny4realyO
    @Genny4realyO 6 років тому +52

    love your videos. You make learning precalcus easy !! I should pay you instead of my professor

  • @clarawilson3326
    @clarawilson3326 Рік тому +3

    ive been trying to do these for 2 weeks, 2 videos anf boom ik it all

  • @tunchiwrld2787
    @tunchiwrld2787 5 років тому +8

    Ur a blessing to my Math CA's

  • @georgesadler7830
    @georgesadler7830 3 роки тому +4

    MR. Organic Chemistry Tutor, thank you for a fantastic video/lecture on Solving Polynomial Inequalities in precalculus. These are strong analytical tools for all levels of science and engineering.

  • @raptordriverandwife
    @raptordriverandwife Рік тому +1

    this makes so much More sense than how my teacher taught it!!! thx

  • @TheEpicKitty
    @TheEpicKitty 3 роки тому

    my calculus teacher completely skipped over learning this in class and even included it in the review for my test coming up. Thank you, you've saved my grade!

    • @castlerock7423
      @castlerock7423 3 роки тому +1

      Yeah, aren't they assholes? That's actually fraud, and you should use that word.

  • @releiabby6201
    @releiabby6201 5 років тому +6

    An amazing teacher! You make everything appear so easy! Thank you soo much

  • @ashley4591
    @ashley4591 6 років тому +5

    THANK YOU FOR SAVING ME I HAVE A TESt ON THIS TODAY AND WATCHING YHIS VIDEO RIGHT BEFORE TRULY HELPED ME SO MUCJ MORE THAN MY MATH TEACHER EVER COULD

  • @OhmVibe
    @OhmVibe Рік тому +1

    Always struggled with this concept, but this really simplified it for me!

  • @South.Florida.Aviation
    @South.Florida.Aviation 4 роки тому

    This is better than any math teacher I have ever had

  • @MathewWuzHere
    @MathewWuzHere 2 роки тому +3

    You always explain it so well. Awesome tutorials.

  • @utkarshkumar7667
    @utkarshkumar7667 5 років тому +7

    And finally I got the concept.....thanks!!!😊☺

  • @HeatherHolt
    @HeatherHolt Рік тому

    Pre calc final in a few hours. Can’t sleep.
    Always kno I csn find info here, well explained and accurate. I am thankful, man.

  • @linkercasas1004
    @linkercasas1004 6 років тому +7

    Thank you very much, Julio! Your videos are incredibly helpful! Keep up the great work!

  • @lianhua3608
    @lianhua3608 6 років тому +4

    Thank you sooo much you saved me with my math exam! 😭😭

  • @kirbyjames5837
    @kirbyjames5837 3 роки тому +1

    Our exam will be conducted tomorrow and im struggling in solving polynomial inequalities but look what I have found. Thank you for this video. It really helps me a lot.💖💖💖💖

  • @zainab_tasawer
    @zainab_tasawer 3 роки тому

    Omg you are god gifted
    I wished I had a teacher like you 😑
    My teacher couldn't explain this in a whole damn week
    And you just made me learn this in just 12 mins 🥺🥳🥳

  • @eugeneassoahmorcher2042
    @eugeneassoahmorcher2042 Рік тому

    I'm from Ghana in Africa , I wanna say thanks for your good works , you've made me simply impossible to understand ❤️🙌

  • @monlis945
    @monlis945 2 роки тому +1

    You just saved me from a monstrous exam. Thnx

  • @okman1665
    @okman1665 5 років тому +5

    Thanks for saving my interest in calculus like inequality , domain....

    • @f.a3202
      @f.a3202 4 роки тому +1

      is this done in calculus in college? I'm in high school and I'm doing theese. now i feel a little more confident

    • @MS-il3ht
      @MS-il3ht 3 роки тому

      @@f.a3202 not really

  • @Itz_jazz
    @Itz_jazz 5 років тому +5

    Thank you so much for your videos, they are the bests ones ever!!!!!

  • @ShelbyMania5058
    @ShelbyMania5058 6 років тому +15

    you just made the hardest thing on math look very very easy THANK YOU!!

    • @ydg_me
      @ydg_me 4 роки тому +7

      Dude the hardest thing on math
      Seriously?

  • @beigomaacademymathsclub5873
    @beigomaacademymathsclub5873 4 роки тому

    Give this guy a medal.

  • @lcvender7127
    @lcvender7127 5 років тому +1

    OMG I FINALLY GET THIS NOW THIS MAKES WAY MORE SENSE TYSM

  • @orange4726
    @orange4726 4 роки тому

    Teachers take hours to teach us this and this guy teaches us in 12 minutes clearer than any teacher.

  • @bromskiii4017
    @bromskiii4017 2 роки тому

    Bro thx ur the best my doubts are clear i found the answer at 5 am but it is what it is love u :)

  • @robvinsky
    @robvinsky Рік тому +1

    I didn't even need to watch the whole video to have a better understanding of this topic than what Aleks could provide

  • @khanyisatsh.
    @khanyisatsh. 3 роки тому

    THIS GUY IS THE REASON I AM PASSING MATHS!

  • @WeBrokee
    @WeBrokee 2 роки тому

    This video is so helpful you explained it better than my teacher did. thank u so much!!!!!

  • @braintime9225
    @braintime9225 2 роки тому +1

    9:50 How did u divide like that??? I only now long division help pls.....

  • @deltarider5863
    @deltarider5863 2 роки тому

    Thank you I understand your explanation 100x better than my teacher. Probably because she tried her own video instead of giving us a video.

  • @deemuotori
    @deemuotori 6 років тому +2

    you just saved my math grade!!!

    • @miffyn1737
      @miffyn1737 5 років тому +2

      And my life from being beaten by my Asian parents

  • @Luketembo3
    @Luketembo3 5 місяців тому

    Ahh yama muli bakulekafye , Amano too much, imwe fyonse mwalikwata data. Jahman juice mwemfumu jahman juice. Imwe takwaba ukumichila tata. Keep up the great work.

  • @csstuff4922
    @csstuff4922 2 роки тому

    Thank you! I had a tiny moment of panic when I forgot these and feel much better now

  • @Pajoker1998
    @Pajoker1998 6 років тому +6

    keep up the great content

  • @aaronzh267
    @aaronzh267 Рік тому +1

    I am really appreciate your explain ❤ thank toct

  • @charlesbing6753
    @charlesbing6753 2 роки тому

    Bro you ducking saved my butt i got a math test and it’s like 12 thank you

  • @leomi5395
    @leomi5395 2 роки тому +4

    W końcu znalazłam przykład który mi pomógł bardzo ❤

  • @Pianomantodd1
    @Pianomantodd1 5 років тому +4

    What happens if your factors are the same (and are less than zero) and it's NOT also "equal to zero" (in a "less than" situation, or vice versa)? (x-3)(x-3)

    • @castlerock7423
      @castlerock7423 3 роки тому

      She didn't specify the use of the term "test numbers" which are the numbers inside each interval that was created using the zeroes (or whatever number amounts to the inequality equaling zero. In this case, the zero would be 3, and the interval notation would have to be (-infinity, 3) because if you take one factor of the above you have x-3

  • @saveoursquirrels4241
    @saveoursquirrels4241 4 роки тому +2

    In factoring by grouping, what if the groups we're left with aren't the same? I ended up with x^2(x+10) - 1(11x+180) from x^3 + 10x^2 - 11x - 180

  • @nightsedge5719
    @nightsedge5719 Рік тому

    You’re a good man, thank you.

  • @luckymusukwa3372
    @luckymusukwa3372 3 роки тому

    You are the best this is well explained

  • @myleswilliams3345
    @myleswilliams3345 4 роки тому +1

    I appreciate your videos so much since I started watching your videos my math grade has shot up and the only person I can thank is you keep up the good work

  • @Anirudh-cf3oc
    @Anirudh-cf3oc Рік тому

    Very good technique and explaination.

  • @dreivonfunf9489
    @dreivonfunf9489 3 роки тому

    Thank you so very very much for clearing up this concept for me! You are a Godsend!

  • @aurumon
    @aurumon 3 роки тому

    Hello,
    @ 3:33, why is the answer "or" and not "and"? Doesn't the union sign in the interval notation mean "and"? Thank you.

  • @jeremiahyonemura
    @jeremiahyonemura 5 років тому +1

    I forgot, and this video helped me. Thank you so much!

  • @benthompson4669
    @benthompson4669 3 роки тому

    🙏 I have stepped into the light

  • @Gobbedlygook
    @Gobbedlygook 6 років тому

    Way better than what my professor taught me.

  • @hetvaidya5951
    @hetvaidya5951 Рік тому

    You have solved my all doubts in first 4 minutes, lol. Thanks

  • @jvh_motivate_mindset
    @jvh_motivate_mindset 4 роки тому +2

    Thanks you so much, I might just start my own YT Channel doing the same! you are really great at what your doing!

  • @dbharathi2003
    @dbharathi2003 2 роки тому

    Thanks for taking the time to explain to us. Neatly explained

  • @kroses_
    @kroses_ 3 роки тому

    my brain cannot handle this🥰

  • @peaceb680
    @peaceb680 4 роки тому

    Thank you so much!!! now I’m ready for my test:) thank you

  • @seamusmoran4776
    @seamusmoran4776 2 роки тому

    You are a legend thank you so much

  • @ronveronrv
    @ronveronrv 6 місяців тому

    At 6:09, are you using the zero product property to get those answers?

  • @kazeembakare350
    @kazeembakare350 Рік тому

    I'm very grateful, you have done me a lot of good things, I appreciate 🙏🙏

  • @ngoemma8215
    @ngoemma8215 3 роки тому

    Great job man! You're wonderful!!!

  • @sikelelamahlati5051
    @sikelelamahlati5051 3 роки тому

    OMW THANK YOU SO MUCH!!!GOD BLESS YOUR SOUL

  • @officialBigCW
    @officialBigCW 5 років тому

    Your better than my professor

  • @Drdominguezc
    @Drdominguezc 3 роки тому

    Thank you!!! You have helped me a lot!!!

  • @sofis8927
    @sofis8927 5 років тому +1

    Great teacher!

  • @crazyfoldz2040
    @crazyfoldz2040 Рік тому

    Thank you so much. This really helped

  • @mercier300
    @mercier300 3 роки тому

    Thank you so much! My teacher did such a horrible job explaining this! But you were fantastic

  • @joeleapen8298
    @joeleapen8298 6 років тому +2

    For the last problem, isn't it x=-1 instead of x=1, because when you do synthetic division you're putting the "h" from "x-h" on the upper left corner, so in this case where we have 1 as our "h", wouldn't it be "x-1" and to solve for that value of "x" we had we just set "x-1" to 0 and solve from there, so it would turn out to be "x-1=0" which turns to "x=1".

    • @DarkMatterr
      @DarkMatterr 6 років тому

      You assumed -h is being used in synthetic division accidentally. x-1=0 so we use 1 in synthetic division. Same goes for finding the roots since the root is the number being used in synthetic division if it's not an imaginary number.

  • @acv976
    @acv976 7 місяців тому

    For the problem at 8:45, couldn't you use the grouping method

  • @BoodyProGamer4673
    @BoodyProGamer4673 4 місяці тому

    Thanks u so much u are a great math teacher

  • @deltasi
    @deltasi 2 роки тому

    I finally understood this after a week in school

  • @ShivamYadav-or3qk
    @ShivamYadav-or3qk 5 років тому

    You make very helpful video for initial

  • @shayananjum2131
    @shayananjum2131 6 років тому +1

    U saved my life

  • @austinnguyen5136
    @austinnguyen5136 6 років тому

    Your video is on point. Thanks a lot .

  • @allanbandaie5690
    @allanbandaie5690 6 років тому +1

    I wish if I had watched any videos from u
    Am a student at MALAWI polytechnic
    I love your videos and I succeed coz of them

  • @tarboozz
    @tarboozz Рік тому

    Amazing video, thank you!

  • @MasiKarimi
    @MasiKarimi 2 роки тому

    Thanks for the info!

  • @abhishekkumarjha990
    @abhishekkumarjha990 6 років тому

    Thanks great video solved my all doubts

  • @justinsantos5751
    @justinsantos5751 5 років тому

    After finding the points where y is 0, I graph it and it is much faster. You just have to be familiar with the graphs and plot the points where y is equals to 0 only. Works better for me.

  • @mr.papalavaskia9795
    @mr.papalavaskia9795 5 років тому

    Your a life saver.

  • @mandipkaur8510
    @mandipkaur8510 2 роки тому

    Very nice from yadwinder singh .

  • @sebastiannieves5472
    @sebastiannieves5472 4 роки тому

    6:45 please explain multiplicity and why does the middle have to be positive.

    • @danielramirez-gaston6652
      @danielramirez-gaston6652 4 роки тому

      What he means by that is the behavior of each zero. Since they are all one, they go straight through the x axis each time, which also means that the signs alternate

  • @krzysztofnazar5695
    @krzysztofnazar5695 6 років тому +1

    GENIUS! THANKS A LOT!

  • @ricardokenneth456
    @ricardokenneth456 5 років тому

    wow u are really good man ..keep on uploading more videos

  • @adambrodsky975
    @adambrodsky975 5 років тому

    Thanks so much this is so helpful!

  • @nic2272
    @nic2272 4 роки тому

    not to be dramatic but you kinda saved my life

  • @elite7585
    @elite7585 2 роки тому

    can someone tell me why the sign doesn't change when the multiplicity is even? pls 11:40

  • @pillowyflunky9931
    @pillowyflunky9931 2 роки тому +1

    thank you sir

  • @healthesick39804
    @healthesick39804 4 роки тому

    Helped!! Thank you!

  • @astrodsgn888
    @astrodsgn888 4 роки тому +1

    omg this is so helpful

  • @gregorywilliams3023
    @gregorywilliams3023 5 років тому

    Great content 🙏🏽