Factoring Cubic Polynomials- Algebra 2 & Precalculus

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  • Опубліковано 21 лис 2016
  • This algebra 2 and precalculus video tutorial explains how to factor cubic polynomials by factoring by grouping method or by listing the possible rational zeros of the polynomial and then by reducing it using synthetic division. Factoring using the difference of squares method was also covered.
    How To Factor Trinomials:
    • Factoring Trinomials T...
    The Greatest Common Factor:
    • How To Factor The Grea...
    Difference of Squares & Sum of Cubes:
    • Factoring Binomials Wi...
    Factoring Perfect Square Trinomials:
    • Factoring Perfect Squa...
    How To Factor By Grouping:
    • Factor By Grouping Pol...
    Cubic Polynomials:
    • Factoring Cubic Polyno...
    _______________________________________
    Solving Quadratic Equations By Factoring:
    • How To Solve Quadratic...
    Quadratic Equations Completing The Square:
    • How To Solve Quadratic...
    How To Factor Difficult Quadratic Equations:
    • How To Factor Difficul...
    Hard Factoring Examples:
    • Factoring Trinomials &...
    Factor Completely - Multiple Variables:
    • How To Factor Complete...
    Factoring Higher Degree Polynomials:
    • Factoring Higher Degre...
    _______________________________________
    Factoring Trinomials With Large Numbers:
    • Factoring Trinomials W...
    Factor Trinomials With Negative Exponents:
    • How To Factor Trinomia...
    Factoring - Rational Exponents:
    • Factoring Algebraic Ex...
    Factor Theorem and Synthetic Division:
    • Factor Theorem and Syn...
    Finding All The Zeros of a Polynomial:
    • Finding All Zeros of a...
    Real and Imaginary Solutions:
    • How To Find The Real &...
    _________________________________________
    Final Exams and Video Playlists:
    www.video-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

КОМЕНТАРІ • 741

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  6 місяців тому +7

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

  • @brettharrison8478
    @brettharrison8478 6 років тому +2802

    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 4 роки тому +40

      Brett Harrison LOL my teacher too

    • @feliscatus4921
      @feliscatus4921 4 роки тому +98

      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 роки тому +4

      Felis Catus facts

    • @calibr0636
      @calibr0636 3 роки тому +16

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

    • @ken8844
      @ken8844 3 роки тому +3

      It be like that.

  • @emmanueladeyeye4602
    @emmanueladeyeye4602 4 роки тому +423

    This really ironed out a lot of confusion

  • @vhalbred1969
    @vhalbred1969 3 роки тому +344

    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.

  • @gaspersavle161
    @gaspersavle161 3 роки тому +180

    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 роки тому +23

      Study high score high

    • @lilac2698
      @lilac2698 2 роки тому +14

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

    • @ethurrrnet
      @ethurrrnet 2 роки тому +2

      @@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 2 роки тому +2

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

    • @thes7519
      @thes7519 2 роки тому +5

      @@lilac2698 been doing this shit since kindergarten

  • @paulzupan3732
    @paulzupan3732 Рік тому +275

    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 Рік тому +25

      Was looking for this comment!

    • @incizor1273
      @incizor1273 Рік тому +19

      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 2 місяці тому

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

    • @regularuser098
      @regularuser098 Місяць тому

      @@philip.stigaard Me too

  • @barrowmeoct04
    @barrowmeoct04 7 років тому +419

    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 5 років тому +4

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

  • @DanielSmith_19
    @DanielSmith_19 3 роки тому +55

    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!!!

  • @mifeke6149
    @mifeke6149 3 роки тому +65

    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 Рік тому +7

      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!

  • @purplebutterfly864
    @purplebutterfly864 3 роки тому +23

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

  • @dairypig
    @dairypig 5 років тому +22

    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

  • @henry_sparks
    @henry_sparks 5 років тому +8

    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.

  • @kidusbahiru4369
    @kidusbahiru4369 5 років тому +9

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

  • @lonicocopuffs
    @lonicocopuffs 3 роки тому +4

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

  • @Ice_official_
    @Ice_official_ 3 роки тому +14

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

  • @malanhemal6574
    @malanhemal6574 3 роки тому +90

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

    • @roniejabello5800
      @roniejabello5800 2 роки тому

      Yeah I notice that

    • @zemtex2323
      @zemtex2323 2 роки тому +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 роки тому +3

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

    • @EmpyreanLightASMR
      @EmpyreanLightASMR Рік тому +1

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

    • @malanhemal6574
      @malanhemal6574 Рік тому

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

  • @rajikaanderiezon9759
    @rajikaanderiezon9759 7 років тому +8

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

  • @motasimfaiyaz2974
    @motasimfaiyaz2974 5 років тому +204

    the real thing begins from 4:05

  • @cr7neymar908
    @cr7neymar908 8 місяців тому +5

    bro im in calc 2 and i always forget how to factor lol

  • @luismauromaximo3556
    @luismauromaximo3556 Рік тому +4

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

  • @minty5236
    @minty5236 5 років тому +10

    Thank you so much this was just incredibly helpful!

  • @elpuma92
    @elpuma92 Рік тому +1

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

  • @freedomofmusic2112
    @freedomofmusic2112 2 роки тому +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!

  • @claraong6353
    @claraong6353 4 роки тому +121

    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 :)

  • @wesamahmmad6150
    @wesamahmmad6150 5 років тому +25

    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 років тому +2

      I'm doing that exactly right now.

  • @SyedNasitAreeb
    @SyedNasitAreeb 2 роки тому

    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.

  • @draciano
    @draciano 4 роки тому +1

    FINALLY A GOOD AND CLEAR EXPLANATION, THANK YOU!

  • @lentlemenproductions770
    @lentlemenproductions770 5 років тому +55

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

  • @hassanaliomurdad2092
    @hassanaliomurdad2092 4 роки тому

    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!

  • @EMPMusic-nc3bn
    @EMPMusic-nc3bn 5 років тому +4

    Literally just saved my life. Thanks again

  • @animeniac_95liner68
    @animeniac_95liner68 4 роки тому +1

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

  • @tafwiyanjichirwa4460
    @tafwiyanjichirwa4460 4 роки тому +2

    Thanks man. You're a lifesaver. This has helped a lot

  • @reisxuwu191
    @reisxuwu191 3 роки тому +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..

  • @IBII_
    @IBII_ 3 роки тому +4

    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 3 роки тому +1

      that is soooooo specific lmao

  • @JacobPerezify
    @JacobPerezify 2 роки тому +1

    You are an amazing professor. You got me through my hybrid semester. Taught me so much in 10 mins

  • @anthonymarsh6796
    @anthonymarsh6796 6 років тому +1

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

  • @DavidHeubner
    @DavidHeubner 3 роки тому +3

    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!

  • @cliftonedwards1862
    @cliftonedwards1862 6 років тому +1

    Chemistry Tutor you rock my friend. You're a cool genius.

  • @georgesadler7830
    @georgesadler7830 2 роки тому +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.

  • @sandybarbaradescargar1327
    @sandybarbaradescargar1327 4 роки тому +1

    There's no teacher like you... thanks

  • @CKDesigner2525
    @CKDesigner2525 Рік тому

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

  • @josephgutierrez490
    @josephgutierrez490 4 роки тому +1

    Dude I love you so much, you cut down my problem time by hours
    You are an absolute king,
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    @mashihodpotatoetm4572 3 роки тому

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

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    @limerysmouse6005 5 років тому +1

    Best vid I’ve seen so far

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    @thisisphamtree 3 роки тому

    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

  • @cjitv9990
    @cjitv9990 4 роки тому +5

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

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    @pursuitforspeed 6 днів тому

    This is glorious. Your videos are fantastic. Very concise

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    @jjlenoxw.3101 6 років тому +4

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    @njelekaharriet6107 2 роки тому +2

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    @PiyushKaswan 11 місяців тому +1

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    @lexcrtv 4 роки тому +3

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

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    @ismatzereenkhan1445 2 роки тому

    Tbh, absolutely better than any other senior math teacher.

  • @nayasoto6321
    @nayasoto6321 4 роки тому +3

    Thank you so much! This helped me a lot

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    @BenZzBenZzXtremOG_187 4 роки тому

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    @suvhanramsarup3808 4 роки тому

    Really easy to understand...I love the way he simplifies everyhting

  • @kungaxel
    @kungaxel 9 місяців тому +1

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

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    @angusmackintosh5907 3 роки тому +5

    who else is looking for a miracle the day before their exam?

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    @ionelahanedir6864 7 років тому +3

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    @sonokoluvr 2 роки тому

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    @magicdragonpete7234 5 років тому

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    @hughhullhunter5798 5 років тому +1

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    @baruchpoliatzky7766 4 роки тому

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    @NeoPhoneix 2 роки тому

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    @SnatchedCafe628 2 місяці тому

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    @winrtr Рік тому

    this channel never disappoints

  • @the81kid
    @the81kid 4 роки тому

    Thanks for making the video!

  • @chietutor3867
    @chietutor3867 2 роки тому

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

  • @easymathematics9803
    @easymathematics9803 3 роки тому

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

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    @alishbaazz2287 Рік тому

    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

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    @educationalporpoises9592 Рік тому

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    @jorgetorres9716 3 місяці тому

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    @na6737 Рік тому

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  • @Swayamkhairnar08
    @Swayamkhairnar08 2 роки тому

    Thanks for the video.
    I just came across such type of polynomial and your video helped alot with this method.

  • @tonyjones8213
    @tonyjones8213 2 роки тому

    This video will get me through curve sketching. A thousand thanks and appriciations.

  • @rollingtrooperz400
    @rollingtrooperz400 5 років тому

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    @1981arm 5 років тому

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    @lwethunozewu8607 2 роки тому

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  • @adi8oii
    @adi8oii 3 роки тому

    wow, this was a really good video, I don't even know what synthetic division is and yet I understood the second kind of problem easily.

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    @millatune2013 2 роки тому

    you de man...keep up the good work brother

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    @rahulkrkalapparackal7688 3 роки тому +1

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

  • @shawncastro1873
    @shawncastro1873 3 роки тому

    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.

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    @thaveshunmariah6595 2 роки тому

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    @shreyaslondhe1151 6 років тому +2

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    @dakotacommanda863 8 місяців тому

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    @AryanSingh-om666 9 місяців тому

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

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    @pudding6418 4 роки тому +1

    This helped me thanks

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    @AwesomeDooshi 3 місяці тому

    Thank u for this wonderful video. Was really helpful 🙏

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    @demiurgerenz 11 місяців тому

    Thank you very much. You just saved my assignment

  • @archaarchuzz9312
    @archaarchuzz9312 4 роки тому +1

    U nailed it sir. Very helpful. Thank you for this vedio

  • @prontgamer2294
    @prontgamer2294 Рік тому

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

  • @donmarz7030
    @donmarz7030 3 роки тому +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. 🙏🙏🙏🙏😊😊😊😊

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    @LinaWerry-mp3bb 4 місяці тому

    Man you're the best... Thanks 😊

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    @hadessthebestt 2 роки тому

    That was awesome,thank you