Factoring Cubic Polynomials- Algebra 2 & Precalculus

แชร์
ฝัง
  • เผยแพร่เมื่อ 3 ม.ค. 2025

ความคิดเห็น •

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  ปีที่แล้ว +11

    Factoring - Free Formula Sheet: bit.ly/4dFNZJ8
    Factoring - More Lessons: www.video-tutor.net/factoring.html

  • @brettharrison8478
    @brettharrison8478 7 ปีที่แล้ว +3108

    When you solved the second equation I laughed like a madman in my school's library. You taught me in 3 minutes what my teacher couldn't in 3 weeks.

    • @AshrafAli-zv9ix
      @AshrafAli-zv9ix 5 ปีที่แล้ว +44

      Brett Harrison LOL my teacher too

    • @feliscatus4921
      @feliscatus4921 4 ปีที่แล้ว +110

      my lecturer didn't even teach this omg I might as well stay home and watch these youtube videos, saving tonnes of money fr

    • @eduardomoreira7624
      @eduardomoreira7624 4 ปีที่แล้ว +4

      Felis Catus facts

    • @calibr0636
      @calibr0636 4 ปีที่แล้ว +20

      its pretty hard teaching a bunch of people having different ways of learning, but yes, this is much simpler to understand

    • @ken8844
      @ken8844 4 ปีที่แล้ว +3

      It be like that.

  • @vhalbred1969
    @vhalbred1969 3 ปีที่แล้ว +395

    Watching this about 20 minutes before my math test and I think you just saved me a lot of marks. Thanks for clearing up the confusion.

  • @emmanueladeyeye4602
    @emmanueladeyeye4602 4 ปีที่แล้ว +487

    This really ironed out a lot of confusion

  • @gaspersavle161
    @gaspersavle161 4 ปีที่แล้ว +251

    I'm high as shit and found this, immediately after watching this i tried some old tests from my uni and aced all of the problems. You sir have saved me from failing.

    • @ethan3439
      @ethan3439 3 ปีที่แล้ว +38

      Study high score high

    • @lilac2698
      @lilac2698 3 ปีที่แล้ว +22

      Uni?!?!? Sir we're learning this in 9th grade in my country. Big Asian moment.

    • @ethurrrnet
      @ethurrrnet 3 ปีที่แล้ว +5

      @@lilac2698 also grade 9 asian from an asian country here but we're learning the cambridge curriculum so im sure british ppl learn this at our age as well

    • @Oh2x
      @Oh2x 3 ปีที่แล้ว +4

      @@lilac2698 learning in 11th in precalc from the us. pretty easy after the video

    • @thes7519
      @thes7519 3 ปีที่แล้ว +9

      @@lilac2698 been doing this shit since kindergarten

  • @paulzupan3732
    @paulzupan3732 2 ปีที่แล้ว +326

    I found a little mistake. At 5:37 you wrote -6 instead of +6, which prevented you from seeing that -1 was in fact one of the zeroes of the cubic. It doesn't really matter though, your videos are some of the best on this platform and I so appreciate what you do. You're amazing

    • @philip.stigaard
      @philip.stigaard 2 ปีที่แล้ว +31

      Was looking for this comment!

    • @incizor1273
      @incizor1273 ปีที่แล้ว +23

      I noticed it as well (and felt disgustingly proud about it lol!) and I think it added a lot to the video that he discovered it, adressed it and solved it again with x = -1 and repeating the synthetic division. It really showed that you can reach the right answer(s) in several ways and as long as you're skilled/confident about the method you will eventually get it right.

    • @alloanceshield9775
      @alloanceshield9775 7 หลายเดือนก่อน

      In which video does he do it can you tell me ​@@incizor1273

    • @regularuser098
      @regularuser098 7 หลายเดือนก่อน

      @@philip.stigaard Me too

    • @bobvargas1024
      @bobvargas1024 3 หลายเดือนก่อน

      Me three... just typographical error 😁😁😁

  • @DanielSmith_19
    @DanielSmith_19 4 ปีที่แล้ว +63

    I can't thank you enough for this. Synthetic division... I had AP mathematics for two years and I never got the hang of... any of it, really. But your video taught me how to do it like it was nothing. Please keep it up!!!

    • @shanibakareem
      @shanibakareem หลายเดือนก่อน

      Same I js got it now..😂

  • @mifeke6149
    @mifeke6149 3 ปีที่แล้ว +85

    At first I thought he should remake the video, then I realised how good this video is with keeping the mistake in because it shows that mistakes are easy like typos and you have to be on your game to spot them, which he did.

    • @EmpyreanLightASMR
      @EmpyreanLightASMR 2 ปีที่แล้ว +10

      Agreed. The mistake does a couple other things, along with your excellent point: it extends the video so he shows you how to do synthetic division twice, and how to factor the quadratic polynomial twice. But it also tests you (like it tested me haha) if you're trying to do the work along with him. It's a good way to keep you awake!

  • @barrowmeoct04
    @barrowmeoct04 7 ปีที่แล้ว +434

    Thank you. This really really really helped. I am currently self studying and getting to grips with A-level algebra. This was another piece to the puzzle, so clearly explained.

    • @animeandstuff5377
      @animeandstuff5377 6 ปีที่แล้ว +5

      JazzPianoObsessed soon it be easy af but I’ll forget lmao

  • @kidusbahiru4369
    @kidusbahiru4369 5 ปีที่แล้ว +11

    You are a hero. Spent 30 minutes searching for videos and this was the best

  • @purplebutterfly864
    @purplebutterfly864 4 ปีที่แล้ว +25

    God bless you. You're out here saving lives!

  • @tasnimhasan7768
    @tasnimhasan7768 หลายเดือนก่อน +1

    Whenever I get stucked in any mathematical or science related problem I just come to your channel and most of the time I get the easiest solution ever. Even you don't know how much you have helped. Thanks a lot.

  • @motasimfaiyaz2974
    @motasimfaiyaz2974 6 ปีที่แล้ว +210

    the real thing begins from 4:05

    • @strawvery.1422
      @strawvery.1422 4 ปีที่แล้ว +1

      same

    • @hariharanthegreat5576
      @hariharanthegreat5576 4 ปีที่แล้ว +14

      Me: *clicks the timestamp*
      Ad: "Let me introduce myself"

    • @rishabhsingh3514
      @rishabhsingh3514 3 ปีที่แล้ว

      I think there is a mistake 4:24

    • @Tech_Gamers
      @Tech_Gamers 3 ปีที่แล้ว +1

      Motasim fayiaz, your profile pic tho.....

    • @HarshYadav2004
      @HarshYadav2004 3 ปีที่แล้ว

      Ur pfp is awesome mann 😂

  • @henry_sparks
    @henry_sparks 5 ปีที่แล้ว +12

    man you are amazing, i have not seen someone as good as you are in explaining both math and science. thanks a lot, you deserve more recognition than this.

  • @dairypig
    @dairypig 5 ปีที่แล้ว +23

    Thank you so much I had literally no idea on how to factor cubic polynomials despite watching countless educational videos on the topic, but thanks to your video I finally understand it and *won't* fail my algebra final. Thank you

  • @wesamahmmad6150
    @wesamahmmad6150 6 ปีที่แล้ว +29

    I have final exam tomorrow and I was looking for a video explaining how the power 3 work and I found your awesome video explaining how the whole process works,, thanks man

    • @friend2644
      @friend2644 5 ปีที่แล้ว +2

      I'm doing that exactly right now.

  • @malanhemal6574
    @malanhemal6574 3 ปีที่แล้ว +92

    5:47 _ -1 is a factor you wrote +6 as -6, so you didn't get it! Thanks for your videos!!!

    • @roniejabello5800
      @roniejabello5800 3 ปีที่แล้ว

      Yeah I notice that

    • @zemtex2323
      @zemtex2323 3 ปีที่แล้ว +7

      He corrected himself later in the video but it still work he realized what he did but it didn’t matter he still got wrong answer

    • @nightytime
      @nightytime 2 ปีที่แล้ว +3

      @@zemtex2323 He did get the correct answer though...

    • @EmpyreanLightASMR
      @EmpyreanLightASMR 2 ปีที่แล้ว +1

      I scrolled for this. -1 is a zero but it's probably good he went on to show other examples anyway

    • @malanhemal6574
      @malanhemal6574 2 ปีที่แล้ว

      @@EmpyreanLightASMR Feels good that someone got help from me ❤️❤️

  • @lonicocopuffs
    @lonicocopuffs 4 ปีที่แล้ว +4

    I'll never stop thanking you for helping me with these problems. You're a blessing to me!

  • @claraong6353
    @claraong6353 4 ปีที่แล้ว +124

    Thanks... I'm currently self-studying 'cause the quarantine and i really have a problem with this type of polynomials so this video is really helpful... Thanks so much..
    Hi from 2020 :)

    • @sudarshanrai3194
      @sudarshanrai3194 4 ปีที่แล้ว

      Do you know how to factorise 4x^2 - 13x^2 + 9. Plz tell me

    • @sherynezrabadulesjaboli7575
      @sherynezrabadulesjaboli7575 4 ปีที่แล้ว

      Michael c. is this you? I'm prolly your classmate

    • @sherynezrabadulesjaboli7575
      @sherynezrabadulesjaboli7575 4 ปีที่แล้ว

      Michael c. is this you? I'm prolly your classmate

    • @tgvindicator02gaming82
      @tgvindicator02gaming82 4 ปีที่แล้ว

      @@sudarshanrai3194 - 9(x+1)(x-1)

    • @TeaRex
      @TeaRex 4 ปีที่แล้ว +5

      Bold of you to assume there will be anyone left after 2020 to read your comment

  • @elpuma92
    @elpuma92 2 ปีที่แล้ว +1

    Love how he went back and redid the answer for the (-1) just to drive it home, he's the goat.

  • @matthewbrodsky3078
    @matthewbrodsky3078 5 หลายเดือนก่อน +22

    Who else is in an upper level math course (linear algebra & differential equations) trying to relearn basic math?

    • @rayban6540
      @rayban6540 27 วันที่ผ่านมา

      MEEEEEEEEE :3333

    • @matthewbrodsky3078
      @matthewbrodsky3078 27 วันที่ผ่านมา

      You’ll make it through, Godspeed soldier

  • @lotoyawilson5971
    @lotoyawilson5971 9 วันที่ผ่านมา +2

    All in favor of saying that this guy has a video for every kind of math😂✋🏽
    👇🏾

  • @SyedNasitAreeb
    @SyedNasitAreeb 3 ปีที่แล้ว

    I have a maths assignment due tonight. I was stuck on a problem involving cubic polynomials. I just saw this and clicked right away. MAN!!!!
    YOU SAVED ME TODAY.

  • @lentlemenproductions770
    @lentlemenproductions770 5 ปีที่แล้ว +58

    If this had a like for every frustrated minute avoided thanks to this this would be the most liked video on TH-cam

  • @DavidHeubner
    @DavidHeubner 3 ปีที่แล้ว +4

    Hey thanks man! Just using the first 1:30 mins I was able to solve my problem! Thanks for such a succinct and well explained guide!

  • @Ice_official_
    @Ice_official_ 3 ปีที่แล้ว +14

    In 2 minutes I already know more than what my teacher has taught me in 2 weeks

  • @GODiKING
    @GODiKING 2 ปีที่แล้ว +14

    0:00 Factor by Grouping
    1:38 4x Cubed 8x Squared plus 6x minus 12
    2:38 Difference of Squares
    4:06 Synthetic Division to reduce the polynomials
    8:53 Synthetic Division with negative 1

  • @animeniac_95liner68
    @animeniac_95liner68 5 ปีที่แล้ว +1

    Whoever you are....... Thank You!!!!!! You’re brain has helped us all!!

  • @IBII_
    @IBII_ 4 ปีที่แล้ว +5

    Who else is from the UK, and is stuck on the AS level Pure maths book Chapter 1 Mixed exercise 1 question 14a.
    But now understands it cause of this video, this guys a legend

    • @gcs0177
      @gcs0177 4 ปีที่แล้ว +1

      that is soooooo specific lmao

  • @luismauromaximo3556
    @luismauromaximo3556 2 ปีที่แล้ว +5

    Seeing the comments here simply says that school dont teach you much knowledge as what you needed

  • @sandybarbaradescargar1327
    @sandybarbaradescargar1327 5 ปีที่แล้ว +1

    There's no teacher like you... thanks

  • @ismatzereenkhan1445
    @ismatzereenkhan1445 2 ปีที่แล้ว

    Tbh, absolutely better than any other senior math teacher.

  • @CKDesigner2525
    @CKDesigner2525 2 ปีที่แล้ว

    I searched a lot but didn't find except the longest methods, thanks for providing this 10 minutes video.

  • @pamhtir
    @pamhtir 3 ปีที่แล้ว

    honestly, im a vietnamese 9th grade school and preparing to be up to 10th grade. this video is totally wonderful, it's showed me the methods that never been in my school. Love this

  • @PiyushKaswan
    @PiyushKaswan ปีที่แล้ว +1

    i've seen all the videos but you gave me the best so thank you so much so i am subscribing you

  • @cjitv9990
    @cjitv9990 4 ปีที่แล้ว +5

    Thanks for this technique on how to factorise a cubic function. Now, I can solve cubic function by this technique.

  • @jivalsingh595
    @jivalsingh595 3 ปีที่แล้ว +4

    This man is the only reason I am passing. Thank you!

  • @jorgetorres9716
    @jorgetorres9716 9 หลายเดือนก่อน

    You’re my third eye when it comes to solving math. You make math so clear with your asmr voice

  • @ethanscherr
    @ethanscherr 3 หลายเดือนก่อน

    thank you, this man deserves all the subscribers

  • @shongingulele8320
    @shongingulele8320 3 ปีที่แล้ว +2

    I actually love you😭😭😭

  • @kavitha1412
    @kavitha1412 6 หลายเดือนก่อน +1

    Understandable way of teaching

  • @AmoghChavan-tz4hm
    @AmoghChavan-tz4hm 7 หลายเดือนก่อน +1

    5:37 At this point, You were slightly wrong as you have multiplied (-1) with the constant (6).Hence we could also take [-1]
    Anyways 2 is also possible.
    And also Thanks for solving my doubt regarding factorisation of a cubic polynomial.

  • @alishbaazz2287
    @alishbaazz2287 2 ปีที่แล้ว

    I understand you better than everyone and I was clapping and smiling like crazy because I understand now what to do. I hope I don't fail now. Thank you

  • @reisxuwu191
    @reisxuwu191 4 ปีที่แล้ว +3

    Thank you so much... Your videos really helps me a lot. Especially now that we have online classes, and I can't study everything on my own. So this really helps a lot, thanks again..

  • @georgesadler7830
    @georgesadler7830 3 ปีที่แล้ว +2

    Mr. Organic Chemistry Tutor, thank you for a monster and fantastic video on Factoring Cubic Polynomial in old fashion Algebra and Pre-Calculus. In the final example, finding your own error is plus for real mathematics and its final solution.

  • @njelekaharriet6107
    @njelekaharriet6107 3 ปีที่แล้ว +2

    Thanks a lot Mr. you just don't know how much you have helped me,may GOD bless you.

  • @EMPMusic-nc3bn
    @EMPMusic-nc3bn 5 ปีที่แล้ว +4

    Literally just saved my life. Thanks again

  • @kyaazu.
    @kyaazu. 2 หลายเดือนก่อน +1

    this guy might save my grades rn bro my teacher is soooo bad its scary my grades I'm genuinely scared about them :(( (gr8)

  • @rishabhsingh8173
    @rishabhsingh8173 4 ปีที่แล้ว +1

    Good explanation sir
    A viewer from INDIA 🇮🇳

  • @NissiLossala
    @NissiLossala 2 หลายเดือนก่อน

    I've been struggling with this forever now 😢 you've saved me!

  • @freedomofmusic2112
    @freedomofmusic2112 2 ปีที่แล้ว +2

    I love your videos, I recommend your channel to math students all the time and have used your videos a lot for help with calculus. Thank you!

  • @sonokoluvr
    @sonokoluvr 2 ปีที่แล้ว

    YOURE MY HERO. I NEEDED THIS FOR MY ALGEBRA 2 FINAL SINCE I COULD NEVER FIGURE THIS OUT TYSM

  • @educationalporpoises9592
    @educationalporpoises9592 ปีที่แล้ว

    Senior engineer. Doing Laplace Transforms. It's been years, and it all comes back to this guy.

  • @na6737
    @na6737 ปีที่แล้ว

    Idk what I’d do without you

  • @AryanSingh-om666
    @AryanSingh-om666 ปีที่แล้ว

    my lecturer couldn't explain this to me in a week
    but you taught me in 3 min thanks a lot

  • @hassanaliomurdad2092
    @hassanaliomurdad2092 4 ปีที่แล้ว

    Thank you so much. The problem you solved after 4:10 is awesome! you know I have been looking for it for a while, searched many many times in many platforms. You made my day!

  • @draciano
    @draciano 4 ปีที่แล้ว +1

    FINALLY A GOOD AND CLEAR EXPLANATION, THANK YOU!

  • @anthonymarsh6796
    @anthonymarsh6796 6 ปีที่แล้ว +1

    Great video! And the fact that you corrected your own mistake on factoring out (-1), makes it even better. Thanks friend!

  • @xainulabideen1169
    @xainulabideen1169 ปีที่แล้ว

    I love this voice... A friend of my hard times ❤❤❤

  • @ananyachoudhary4267
    @ananyachoudhary4267 3 ปีที่แล้ว +1

    My best decision was to choose this video ❤️..it cleared all my doubts and that too vry easily.. ✌️

  • @darrenperalta3446
    @darrenperalta3446 ปีที่แล้ว +1

    Your answer in 5:22 when you use -1 is wrong. The answer will be zero if you use -1.

  • @SnatchedCafe628
    @SnatchedCafe628 8 หลายเดือนก่อน

    You, my good sir, have helped me advance-study for my Math Modules in college. Thank you so much!

  • @josephgutierrez490
    @josephgutierrez490 4 ปีที่แล้ว +1

    Dude I love you so much, you cut down my problem time by hours
    You are an absolute king,
    👑

  • @winrtr
    @winrtr ปีที่แล้ว

    this channel never disappoints

  • @NeoPhoneix
    @NeoPhoneix 2 ปีที่แล้ว

    My teachers explanation was like a university mathematics textbook and I just couldn't understand what they were saying. Your explanation made it so clear to me. Thank you.

  • @bhimrajput1394
    @bhimrajput1394 2 ปีที่แล้ว

    Maine iss topic ko samajhne ke liye youtube par bohot video dekhe par samjhme aapka aaya thanks a lot

  • @shawncastro1873
    @shawncastro1873 4 ปีที่แล้ว

    This Video filled out my confusion on how to factor Polynomials that my teacher taught me. Online Learning still has some Advantages especially when watching Videos like this.

  • @lexcrtv
    @lexcrtv 5 ปีที่แล้ว +3

    I was literally crying over my math hw but this helped a lot thanks so much

  • @fathimaali2037
    @fathimaali2037 ปีที่แล้ว

    This 10 min is worthful❤️

  • @chinu05_
    @chinu05_ ปีที่แล้ว +1

    Great work for me personally.I got so many thing from this session thank you very much

  • @niesfilms
    @niesfilms 3 ปีที่แล้ว +3

    Bro this man sorted out my confusion in 4 mins, which my teacher couldn't in 4 weeks 😂

    • @ninjapirate123
      @ninjapirate123 2 ปีที่แล้ว

      lol and yet the government still finds school useful

  • @kungaxel
    @kungaxel ปีที่แล้ว +1

    Thank you for giving out many examples and explaining in an understandable pace brother💯

  • @mashihodpotatoetm4572
    @mashihodpotatoetm4572 3 ปีที่แล้ว

    Your channel is my go-to teacher whenever I'm stuck, thanks.

  • @starseed..9898
    @starseed..9898 3 ปีที่แล้ว

    As someone from 9th grade and having my test after 2 days. This saved my life thanks dude

  • @akshay4107
    @akshay4107 3 ปีที่แล้ว +5

    5:50 mistake in calculation. - 1 is a factor

  • @rahulkrkalapparackal7688
    @rahulkrkalapparackal7688 4 ปีที่แล้ว +1

    Recommended. Worth a watch, a like, and a subscription. 🤗

  • @happypotatoes007
    @happypotatoes007 ปีที่แล้ว

    Best channel on TH-cam!!!

  • @harlbertmayerh7523
    @harlbertmayerh7523 4 ปีที่แล้ว +2

    6:32 finally!!!!!!!!!!!!!!!!!!!!! NOW I KNOW THAT 1X2 IS 2 THANK YOU SO MUCHHHHHHHHHHHHHHHHHHHHH

  • @tvvt005
    @tvvt005 9 หลายเดือนก่อน

    4:00 hi so to find the values of x just separately assign these diff factors to 0 / whatever LHS we might have?

  • @pursuitforspeed
    @pursuitforspeed 6 หลายเดือนก่อน

    This is glorious. Your videos are fantastic. Very concise

  • @minty5236
    @minty5236 5 ปีที่แล้ว +10

    Thank you so much this was just incredibly helpful!

  • @ashokray-t6k
    @ashokray-t6k 5 หลายเดือนก่อน

    Wow you taught in such a easy way ....... My teacher couldn't teach me this

  • @elmossavworld3543
    @elmossavworld3543 3 หลายเดือนก่อน +1

    When he said "but were not finished" I felt that

  • @johnryder1713
    @johnryder1713 4 ปีที่แล้ว

    I suppose you could try other channels if you've a problem, but they won't teach it to you like this guy can.

  • @AbelNiguse-j9u
    @AbelNiguse-j9u ปีที่แล้ว

    Your way of explanation is very nice.keep it up

  • @hoggriderrr4577
    @hoggriderrr4577 3 ปีที่แล้ว

    I swear this guy is so good

  • @likithapulavarthi841
    @likithapulavarthi841 2 ปีที่แล้ว

    thank you so muchhh i didn’t understand anything when i looked through the notes given by my school HAHA. your 10 min video helped me understand in a jiffy!! Thanks for the very clear explanation!

  • @demiurgerenz
    @demiurgerenz ปีที่แล้ว

    Thank you very much. You just saved my assignment

  • @chietutor3867
    @chietutor3867 2 ปีที่แล้ว

    Thank you for teaching the other methods in factoring cubic polynomials in four terms which is very treasurable.

  • @nopegaming2029
    @nopegaming2029 ปีที่แล้ว

    You saved me in limits , thank you so much

  • @MahidulAlif
    @MahidulAlif 2 ปีที่แล้ว +1

    There is a mistake in 5:42 sec . Instead of putting plus 6, you have put minus 6.

    • @takmkral7110
      @takmkral7110 2 หลายเดือนก่อน

      it made me crazy

  • @aijahjaymes4615
    @aijahjaymes4615 5 ปีที่แล้ว +1

    Thank you so much. I have a trig test next period and I am so stressed but this helped me a lot

  • @donmarz7030
    @donmarz7030 4 ปีที่แล้ว +1

    Thanks for making this Video and explaining it step by step and clear. I understand it perfectly and clear. ❤️❤️ I would not mind skipping any adds if it helps you keep working. Thank you very much. 🙏🙏🙏🙏😊😊😊😊

  • @rajikaanderiezon9759
    @rajikaanderiezon9759 7 ปีที่แล้ว +8

    thanks a lot,I struggled with it a lot but you make my day😄😊keep it up

  • @BenZzBenZzXtremOG_187
    @BenZzBenZzXtremOG_187 5 ปีที่แล้ว

    You are a god LITERALLY, you have made be so much better at math and my teacher is glad to see my improvements. You are the best solider in this battlefield. :)

  • @prontgamer2294
    @prontgamer2294 2 ปีที่แล้ว

    thanks king you are a legend I got a headache trying to fix a similar problem you came to save the day.

  • @deen8232
    @deen8232 3 ปีที่แล้ว

    This guy is better than the teachers

  • @AGadiScie
    @AGadiScie 3 ปีที่แล้ว

    This video was made four years back but it is still helpful to us on 2021❤thank you Organic chemistry tutor God bless 😊

  • @mahlaremagakwe166
    @mahlaremagakwe166 2 ปีที่แล้ว

    I have been watching your videos since my first in college which was 2020,and since then I have been getting great marks ,I don't know you bra but if I meet you one day am definitely buying you a Bugatti ♥️

  • @themaskedguy1957
    @themaskedguy1957 9 หลายเดือนก่อน

    This cleared my doubt smoothly.