Factoring a polynomial to the fourth power using factoring to second power

แชร์
ฝัง
  • เผยแพร่เมื่อ 31 ธ.ค. 2024

ความคิดเห็น • 305

  • @brianmclogan
    @brianmclogan  ปีที่แล้ว +7

    Factor the trinomial fast without substitution - th-cam.com/video/eMiBG0MhPqQ/w-d-xo.html

  • @kappachino1465
    @kappachino1465 4 ปีที่แล้ว +123

    You literally explained what I wanted to know in 3minutes compared to the hours I used to search up how to do this kind of question online. You are best teacher I've ever seen

    • @KingNeri12
      @KingNeri12 2 ปีที่แล้ว +2

      He is good like that. I'm just surprised he still has videos out for the level of math I do as when I first needed him I was in the 6th grade.

  • @psychoctapus8069
    @psychoctapus8069 7 ปีที่แล้ว +243

    good teacher, annoying class

  • @Flower-lr1xi
    @Flower-lr1xi 5 ปีที่แล้ว +357

    I feel like he’s shouting at me😂

  • @arkhamknight055
    @arkhamknight055 6 ปีที่แล้ว +61

    This is how maths should be taught. Simple and easy. Thanks Mr Brian. Appreciate you for taking your time to explain to us all.

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +13

      agree! happy to be able to help you out!

  • @G0dPvPOfficial
    @G0dPvPOfficial 5 ปีที่แล้ว +77

    Man i wanted to write down the critical thing at the end of the video 3:21 😩

  • @SonicDavid
    @SonicDavid ปีที่แล้ว +25

    ill never know what the critical thing he wants me to write down is 🥺

  • @nelsond3065
    @nelsond3065 11 หลายเดือนก่อน

    Helping daughter with math and a teacher who hands out packet after packet. You're my go to whenever I need to relearn all this stuff and then put it into a language she understands. Much appreciated

    • @brianmclogan
      @brianmclogan  11 หลายเดือนก่อน

      you are very welcome!!

  • @justinfok598
    @justinfok598 6 ปีที่แล้ว +11

    Tbh your videos are really helpful. You explain better than my own teacher. I might as well just learn from you. Thank you for helping me understand everything and I just want to say that I really appreciate these videos that you put up.

  • @mikitrueba762
    @mikitrueba762 6 ปีที่แล้ว +20

    you explained this so clearly! thank you so much!!!

  • @Real-Colossal-Titan2782
    @Real-Colossal-Titan2782 ปีที่แล้ว +3

    lol that kid who said "you think you're sweet?"

  • @vatolocoman5
    @vatolocoman5 6 ปีที่แล้ว +15

    im really glad you post these videos , your teaching style is very effective and proprietary

  • @ahmed3bdelhady266
    @ahmed3bdelhady266 ปีที่แล้ว +1

    (1-x^2)(2-x^2)=4m
    m is constant
    Find x

  • @superiority7158
    @superiority7158 6 ปีที่แล้ว +7

    Yea I like Brian he teachers you step by step and it’s easier to understand.

    • @contractorusa5561
      @contractorusa5561 5 ปีที่แล้ว

      I know the teacher I got seems like she takes the long steps ways and explain it fast

  • @zlcoolboy
    @zlcoolboy 2 ปีที่แล้ว

    MIND BLOWN. I bet I got this at one point and forgot it because its so simple. You explained it in a really good way.

  • @pieceaisa5046
    @pieceaisa5046 2 ปีที่แล้ว

    i binged half your videos to finish this humongous assignment i had it put off and you helped me astronomically tysm

  • @yasmine9571
    @yasmine9571 ปีที่แล้ว +2

    This really helped a lot, easier than it seems..thank you!

  • @Kiransingh-gv7zi
    @Kiransingh-gv7zi 5 ปีที่แล้ว +4

    great teacher. Respect from India

  • @dawoodbaig6919
    @dawoodbaig6919 7 ปีที่แล้ว +3

    Nice. Things like these make it easier for students who are enrolled in online classes. Thank you for putting this here for everyone.

  • @Michaleah
    @Michaleah 3 ปีที่แล้ว +1

    Oh my gosh, i was stuck on a problem for hours and then i watched this video, i finally got it!! Thank you SO much

    • @Lurkzlori
      @Lurkzlori 2 ปีที่แล้ว

      Can you help me?

  • @salmanKhan-rq4lw
    @salmanKhan-rq4lw 5 ปีที่แล้ว +5

    You are the great to explain this simple version
    Thanks sir g

    • @JS-pm9ys
      @JS-pm9ys 4 ปีที่แล้ว +1

      i like yo cut g

  • @khourtneyneyrinck6453
    @khourtneyneyrinck6453 5 ปีที่แล้ว +4

    Thank you! Thank you! Thank you! You always make so much sense and write easier ways to get it done fast!

  • @zymbol
    @zymbol 6 ปีที่แล้ว +92

    This video stresses me out.

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +11

      sorry about that Zak, just think of it as x^2+8x-9 and then raise the power of the factors

    • @तुषारसाहू-झ3र
      @तुषारसाहू-झ3र 5 ปีที่แล้ว +1

      You

    • @altamashakhtar847
      @altamashakhtar847 4 ปีที่แล้ว +1

      Sir can you solve this :- 8x3-8x2-9

    • @taze_diren9626
      @taze_diren9626 4 ปีที่แล้ว +1

      @@altamashakhtar847 rip man

    • @tims7800
      @tims7800 4 ปีที่แล้ว

      ​@@altamashakhtar847 It's been 2 months so you probably found the answer already lol
      Just in case: You can take x out of each term to make it
      x(8x^2 - 8x - 9)
      Then, just solve like a normal quadratic equation. Afterwards, your answers will be the same as in a quadratic equation, but 0 will also be a solution.

  • @JohnnySmith-c6y
    @JohnnySmith-c6y 10 หลายเดือนก่อน

    I would have used x² = t and re-written it out as t² + 8t - 9 and factored that out as (t + 9)(t - 1) ans substituted x² back in

  • @na9640
    @na9640 7 ปีที่แล้ว +7

    This is really helpful!
    I so wish I had watched this before going to today's exam

  • @GoogleUser-uk8xl
    @GoogleUser-uk8xl 6 ปีที่แล้ว +3

    You summed up what took me an hour - thank you

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      happy to be able to help you out Ellie

  • @thekeyofj8930
    @thekeyofj8930 ปีที่แล้ว

    I really wish you were my actual teacher its crazy how complex my teacher has made this seem and you made it clear to me. I've always took twice as long as everyone else to understand math but you really are helping me catch up

  • @diamondsalam6894
    @diamondsalam6894 2 ปีที่แล้ว

    Man you just solve my problem that's been stuck for a week 😂 thank you man 👍

  • @Purple82882
    @Purple82882 2 ปีที่แล้ว +2

    Thank you so much Mr.Brian. I really appreciate you for taking your time and making these videos. I am preparing for SAT, and your videos are very helpful and easy to understand. They are literally keeping me from giving up on math. Thank you so much🙂!!!

    • @brianmclogan
      @brianmclogan  2 ปีที่แล้ว +1

      So happy to be able to help you out!!

    • @OilyMonkeyCheeks
      @OilyMonkeyCheeks 2 ปีที่แล้ว

      @@brianmclogan I understand how you got your final answer, but can’t you factor it more for (x^2+9) to (x+3) and (x+3)?

    • @Hazelpy
      @Hazelpy 2 ปีที่แล้ว

      @@OilyMonkeyCheeks you're close but since (x^2 + 9) isn't a difference of squares it can't be split
      (x^2 - 1) however, can be split into (x+1)(x-1), giving us our finished factored form of (x^2+9)(x+1)(x-1)

  • @tarynsage6290
    @tarynsage6290 4 ปีที่แล้ว +5

    Teachers like this are the reason I have anxiety in a classroom lol, good, straightforward teaching though this really helped me today thank you 😊

  • @jackwilson4324
    @jackwilson4324 5 ปีที่แล้ว +1

    You could also use direct substitution, I got X = +or- 3*i, 1

  • @emmanuel9914
    @emmanuel9914 6 ปีที่แล้ว +7

    How would you factor -1/3x^3+x^2-4/3=0 ?

    • @shivanimanna8645
      @shivanimanna8645 5 ปีที่แล้ว +1

      Yaa, im also trying to figure it out😞😞 Brian sir please explain🙏

    • @aparichit9728
      @aparichit9728 5 ปีที่แล้ว +1

      Itna asan nhi hora

    • @shivanimanna8645
      @shivanimanna8645 5 ปีที่แล้ว +1

      @@aparichit9728 nhi hora, tum explain kar do plzz🙏

    • @shxdyneo7298
      @shxdyneo7298 5 ปีที่แล้ว

      After much frustration and eventually consulting Wolfram Alpha, I came up with x^2(x+3)=4, and the knowledge that (x-1) and (x+2) are factors. I wasn't aware you could divide it with the polynomial made by expanding the two factors, and ended up with (x^2+4x)(x-1), which expanded, gives me x^3+3x^2+4x.
      Which is why I went to Wolf, and it gave me (x-1)(x+2)(x+2) or (x-1)*(x+2)^2.
      Thank you for this problem! I loved struggling with it.

  • @TwolfBeowulf
    @TwolfBeowulf 7 ปีที่แล้ว +38

    I have some students who don't understand cause their not paying attention... oops actually I did it wrong.

  • @erroroverload8428
    @erroroverload8428 ปีที่แล้ว

    Thank you! :) This was really helpful!

  • @YandereKnows
    @YandereKnows 5 ปีที่แล้ว +6

    thanks! teacher never taught this

  • @tatja7064
    @tatja7064 3 ปีที่แล้ว

    you are a legend Mr. Brian, thanks for the lessons

  • @vinmo8326
    @vinmo8326 3 ปีที่แล้ว

    This is fantastic . Thank you man👍👍👍👍

  • @MangLamUmRao
    @MangLamUmRao ปีที่แล้ว

    sir we can also let x^2=a then x^4+8^2-9=a^2+8^a-9 it will be easy to solve and after factorizing put value of a=x^2

  • @recration
    @recration 5 ปีที่แล้ว +1

    But how do you graph (x²-1)(x²-4)

  • @Fig100
    @Fig100 ปีที่แล้ว

    Thank you so much this helped me a lot

  • @trjoksepha4770
    @trjoksepha4770 5 ปีที่แล้ว +2

    Thank u Takle, samjhane ke liye love from india

  • @pahul79
    @pahul79 6 ปีที่แล้ว

    If anyones confused, what he did was; Let X=x^2 and then factored it in terms of X then subbed the x^2 back in.

  • @caroliner9478
    @caroliner9478 3 ปีที่แล้ว

    x squared minus one is diff of 2 squares so we can simplify it more

  • @Wholelottabeans
    @Wholelottabeans ปีที่แล้ว

    Yo, if there was a coefficient in front of the x^4 what would you do differently

  • @kevinorayan850
    @kevinorayan850 11 หลายเดือนก่อน

    Thank you a thousand fold

  • @nazianazianaz5899
    @nazianazianaz5899 4 ปีที่แล้ว

    Wow what a nice teacher!! 🙅🙅

  • @divyoroy9056
    @divyoroy9056 5 ปีที่แล้ว

    Brian mclogan (x^2-1)=(x+1)(x-1) so we can factorize it one more time

  • @skolworksedits8543
    @skolworksedits8543 7 ปีที่แล้ว +1

    Got an algebra 2 final tomorrow so i'm watching a bunch of your vids to review lol. Thanks for making these!

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +2

      you are very welcome! best of luck!

    • @kevinsanchez6738
      @kevinsanchez6738 7 ปีที่แล้ว

      Finals in January???

    • @skolworksedits8543
      @skolworksedits8543 7 ปีที่แล้ว +1

      Lightning Mcqueen Yeah midterms

    • @divyoroy9056
      @divyoroy9056 5 ปีที่แล้ว

      SkolWorks Edits what did you get bro?

  • @TheGhOster29
    @TheGhOster29 3 ปีที่แล้ว

    Thank you sir❤️

  • @AayushLabh07
    @AayushLabh07 4 ปีที่แล้ว

    This Helps me a lot
    Thanks teacher

  • @kaiwanzendin
    @kaiwanzendin 2 ปีที่แล้ว

    Thank you ❤

  • @josefinagutierrez9930
    @josefinagutierrez9930 7 ปีที่แล้ว +3

    Wow thank you so much. This was really helpful.

  • @Sanjali0531
    @Sanjali0531 หลายเดือนก่อน

    Thank you!

  • @obispoapple7794
    @obispoapple7794 4 ปีที่แล้ว

    Who ever has this teacher is so lucky

  • @mariaalejandragalli9180
    @mariaalejandragalli9180 29 วันที่ผ่านมา

    Thank you so much!!!!

  • @imanmohamed5438
    @imanmohamed5438 4 ปีที่แล้ว

    Can you only use x squared or are there cases where you would have x and x cubed

  • @LifeJourneyIsaac
    @LifeJourneyIsaac 4 ปีที่แล้ว

    this is the guy u need in ur class

  • @fw_ddx
    @fw_ddx 3 หลายเดือนก่อน

    Thank you

  • @gosnimm7624
    @gosnimm7624 5 ปีที่แล้ว

    how would you find the x-intercept? if it was quadratic equation and factor it u could just know the x-intercepts but how would you do for this one?

  • @jaceevtg8048
    @jaceevtg8048 4 ปีที่แล้ว +1

    my mans i fucked this up rn on my advanced functions test

  • @daisypell5664
    @daisypell5664 2 ปีที่แล้ว

    Heyy sir , I was really struggling with these questions, thank you very much for explaining it in and easier way

  • @ant9887
    @ant9887 5 ปีที่แล้ว +1

    Cheers, good video. 👏👏👏

  • @sultanwiranatakusumah4154
    @sultanwiranatakusumah4154 2 ปีที่แล้ว

    Thankyou sir🙏

  • @jacobgrossman20
    @jacobgrossman20 5 ปีที่แล้ว

    doesnt the (x^2 -1) need to be factored out into (x+1)(x-1)??

  • @SonuKumar-rk9qc
    @SonuKumar-rk9qc 6 ปีที่แล้ว +3

    Factorisation is now clear

  • @Alientarsier
    @Alientarsier 8 หลายเดือนก่อน

    much thanks

  • @YahyaYassin-h9f
    @YahyaYassin-h9f 3 หลายเดือนก่อน

    What about complete factorization??

  • @muhammadrubbaan2076
    @muhammadrubbaan2076 4 ปีที่แล้ว

    Thanks brother

  • @NaomiChambers
    @NaomiChambers 3 ปีที่แล้ว

    Question: when you combined 9x (squared) with X (squared) how does this give you 8 X squared?

    • @リズワン
      @リズワン 3 ปีที่แล้ว

      9x^2 minus x^2 🤷‍♂️

    • @Lurkzlori
      @Lurkzlori 2 ปีที่แล้ว

      @@リズワン Can you help me?

  • @maxinemayfield7548
    @maxinemayfield7548 2 ปีที่แล้ว

    hey brian! i love your math lessons so much, they help me with my exams. do you mind explaining how to write a to the power of 2 multiplied by a to the power of 4 and a to the power of 2 divided by a to the power of 4 as a power of a?
    thank you

    • @Hazelpy
      @Hazelpy 2 ปีที่แล้ว

      multiplying a^2 times a^4 results in a^6
      a^2 divided by a^4 is the same as saying 1/a^2, or a^-2
      All this is showing is that multiplying powers is adding the powers together, and dividing is the opposite- subtraction.

  • @sanjeevkumar1615
    @sanjeevkumar1615 6 ปีที่แล้ว +5

    U got nuts but still I gotta be helpful now I'm gonna watch it

  • @Hazelpy
    @Hazelpy 2 ปีที่แล้ว

    Not fully factored, the fully factored form would be (x^2+9)(x+1)(x-1) due to there being a difference of 2 squares

    • @arminaantigro6380
      @arminaantigro6380 2 ปีที่แล้ว

      u sure?

    • @Hazelpy
      @Hazelpy 2 ปีที่แล้ว

      @@arminaantigro6380 Hundred percent sure

    • @Hazelpy
      @Hazelpy 2 ปีที่แล้ว

      x^2 - 1 is the same as (x+1)(x-1) because the two factors are conjugates

    • @arminaantigro6380
      @arminaantigro6380 2 ปีที่แล้ว

      @@Hazelpy I checked, u'r right, can u factor x⁵ + x³ -2x+1? or x⁴?

    • @Hazelpy
      @Hazelpy 2 ปีที่แล้ว

      Not factorable, no

  • @jacoballiston7574
    @jacoballiston7574 5 ปีที่แล้ว

    Could you use synthetic division to find the factors of this polynomial?

  • @superstudycoaching
    @superstudycoaching 4 ปีที่แล้ว

    x^3-6x^2+11x-6 || x3-6x2+11x-6 || x^3-6x^2+11x-6 बहुपद के सभी शून्यक ज्ञात करें
    th-cam.com/video/nkWKuXsdbss/w-d-xo.html

  • @oooferdoodlethethird3057
    @oooferdoodlethethird3057 5 ปีที่แล้ว

    Thanks

  • @harshwardhanjejaria397
    @harshwardhanjejaria397 3 ปีที่แล้ว

    Very good ☺️

  • @hyde6108
    @hyde6108 3 ปีที่แล้ว

    You gotta love how this man just does not take shit

  • @dareal2669
    @dareal2669 7 ปีที่แล้ว +2

    What if leading coeff is not 1 but greater than 1

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว

      then you would need to either factor it out or use the AC method, here is a playlist I have th-cam.com/play/PL0G-Nd0V5ZMrTIyt4NQFykiyDuWfF_M6S.html the factors are linear but you would just raise them to being squared if your polynomial was quartic

  • @amandar5600
    @amandar5600 4 ปีที่แล้ว

    thanks for this!

  • @guambomber448
    @guambomber448 4 ปีที่แล้ว +2

    I'm in calc 2 and I just watched this video because im a dumb dumb doing integrals by partial fractions and couldn't factor a polynomial lol

  • @matthewpennell9694
    @matthewpennell9694 3 ปีที่แล้ว

    Hey Brian, could you do a problem with the numbers in the layout of (x+y)^z

  • @kika89110
    @kika89110 4 ปีที่แล้ว

    THANK YOU!! i get it now.

  • @jaykoey3683
    @jaykoey3683 ปีที่แล้ว

    Brilliant trick

  • @sviator1sviator1
    @sviator1sviator1 6 ปีที่แล้ว +6

    Thank u big brain 🙏🏻 ur the best 💯 #mclogang 😩🤫

  • @phrase0v034
    @phrase0v034 4 ปีที่แล้ว +5

    I feel like im learning from a Xbox player in cod 3

  • @rohitpadile7088
    @rohitpadile7088 3 ปีที่แล้ว

    Thankyou

  • @lionelmartinez3413
    @lionelmartinez3413 4 ปีที่แล้ว

    Could you show examples of how to solve Factoring a quadratic with leading coefficient? (y+m)(y+n) example: y2-13y+12. Please Help.

    • @Hazelpy
      @Hazelpy 2 ปีที่แล้ว

      When you're looking at a polynomial with the structure ax^2 + bx + c and trying to factor it into the factored form (x+m)(x+n), the rules are pretty simple
      m+n = b
      m*n = ac
      If either m or n turns out to not be an integer, you have to use the quadratic formula instead

    • @Hazelpy
      @Hazelpy 2 ปีที่แล้ว

      teehee I love looking through and replying to old comments 😋

  • @rhankhanrehakhan4876
    @rhankhanrehakhan4876 6 ปีที่แล้ว +1

    3x2+18x+15=0

  • @ss-tp6mz
    @ss-tp6mz 3 ปีที่แล้ว

    for x^4 + x^2 -1 = 0 not working.

  • @adamsultan22
    @adamsultan22 4 ปีที่แล้ว

    not all heroes wear capes

  • @thedarkdragonite
    @thedarkdragonite 6 ปีที่แล้ว

    Thanks for the help!

  • @abygail09
    @abygail09 4 ปีที่แล้ว +1

    My volume was all up and I got scared 😂

    • @theCometPM
      @theCometPM 4 ปีที่แล้ว

      Clicked on the video with 1/3 volume and still almost jumped out of my seat 😂

    • @abygail09
      @abygail09 4 ปีที่แล้ว

      CometPM 😂 lol

  • @markstifler9750
    @markstifler9750 2 ปีที่แล้ว

    factorise x^4+x^2+1

  • @jacobmiller1828
    @jacobmiller1828 7 ปีที่แล้ว

    This is absolutely what I needed, thank you so much.

  • @Lucy-ng7cw
    @Lucy-ng7cw 5 ปีที่แล้ว

    How do you do it if all three numbers have an x?

    • @jacoballiston7574
      @jacoballiston7574 5 ปีที่แล้ว

      A little late but factor out an x from all three terms and it should leave you with something more familiar! Hope this helped!

  • @GabaneHometutorials
    @GabaneHometutorials 6 หลายเดือนก่อน

    why leaving 8?

  • @ZishanViews
    @ZishanViews 5 ปีที่แล้ว

    solve the equation for m is such that m^4-7m^3+15m^2-13m+4

  • @okiagreebut5609
    @okiagreebut5609 4 ปีที่แล้ว

    I have been sitting here trying to factor x^4-12x^2+27 for the past 30 mins when it was actually just taking x^2-12x+27 and squaring the x's in the factors. Why'd my teacher never teach me this bruh.

  • @Mr.mukeshartz
    @Mr.mukeshartz 7 หลายเดือนก่อน +1

    Waste of time for India ( Hindi medium)😂😂😂

  • @thetutorialchannel1074
    @thetutorialchannel1074 7 ปีที่แล้ว +1

    Thanks for the information....it was helped.....

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +1

      awesome! happy to be able to help