How to Determine the Multiplicity and Zeros of a Polynomial

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  • Опубликовано: 23 янв 2025

Комментарии • 75

  • @yellowmellow7931
    @yellowmellow7931 4 года назад +497

    I know I'm screwed when not even you can teach me

    • @asadrahim8143
      @asadrahim8143 3 года назад +8

      fr

    • @UglyStru
      @UglyStru 3 года назад +14

      facts, at this point i'm doomed

    • @thelegendarys3c3
      @thelegendarys3c3 3 года назад +9

      doo doo fart

    • @gisselle3367
      @gisselle3367 2 года назад +8

      LOL literally same i luv brian mc logan but i am confused af rn

    • @kevinstubbs2960
      @kevinstubbs2960 Год назад +8

      Fr he didn’t explain it that we tho he didn’t really break it down on how to get the squares and how to factor them I have a test tmw 😭😭😭😭 pls someone prey for me

  • @alexisaponte2283
    @alexisaponte2283 4 года назад +118

    this man teaches me more than my actual teacher

    • @yahgent
      @yahgent 2 года назад

      You listen more to this guy than you do to your teacher*

    • @dallaspeck8162
      @dallaspeck8162 Год назад +2

      @@yahgent nope not at all, teachers are prepaid. Some do the best they can but many teachers are horrible and couldn't care less about actually teaching the kids. Shoving problems in our face with nothing to learn from, RUclipsrs need to make thier video well understable, easy to learn and grasp. The better they teach the more popular/ money they make. These vids teach more them hours of lecture

  • @samuelguy9744
    @samuelguy9744 6 лет назад +212

    I’m so going to fail my midterm this month 🤦‍♂️

    • @kelpshake7382
      @kelpshake7382 4 года назад +16

      I know I'm late but I'm literally watching this video in the middle of my midterm 😭✋

    • @Arwickxl
      @Arwickxl 4 года назад +5

      @@kelpshake7382 did you pass?

    • @kelpshake7382
      @kelpshake7382 4 года назад +14

      @@Arwickxl no, I was off by 1% -_-

    • @januery4
      @januery4 4 месяца назад +1

      @@samuelguy9744 LMAO REAL

  • @joebalian156
    @joebalian156 6 лет назад +80

    Well that's simpler than I expected... I couldn't find multiplicity in my math book but a problem set said to find the multiplicity, so I came here. Thanks for making sense of it!

  • @brianmclogan
    @brianmclogan  11 лет назад +40

    Thank you, depending on the class and how many times I have gone over a problem I will explain multiplicity differently and at different paces. I have other videos where I spend a long time explaining multiplicity but this video was probably a review problem for my students so I did not dive deep into the explanation

    • @brianmclogan
      @brianmclogan  11 лет назад +5

      no worries, you are completely right and I do make videos that are introductory and advanced now, but this was a video from my classroom so it was just tailored to their needs that day.

  • @OverusedExpression
    @OverusedExpression 9 месяцев назад +2

    Can we talk about the chaotic evil that is the marker tray for a sec? Sooo many markers with the wrong lids on...

  • @prettyyounglee
    @prettyyounglee 5 лет назад +7

    I loved the video. It was taught in a way I understand.

  • @SerrvantX
    @SerrvantX Год назад +1

    Everytime I see Brian's videos I know I will understand

  • @Benth3rdoneth4t
    @Benth3rdoneth4t 9 лет назад +1

    Taking a test today. This helped refresh my memory. Thanks!

    • @brianmclogan
      @brianmclogan  9 лет назад

      +BenTh3reDoneThat you are very welcome! good luck

  • @CallMeMargo
    @CallMeMargo 6 лет назад +12

    Bless you for explaining this oh my gosh

  • @mike79812
    @mike79812 9 месяцев назад

    Watching these vidoes is what keeps me from failing my math class, THANK YOU

  • @stephanierudisill2944
    @stephanierudisill2944 9 лет назад +40

    I am so confused

    • @brianmclogan
      @brianmclogan  9 лет назад +2

      +Stephanie Rudisill do you have a specific question I can answer that will help you?

    • @stephanierudisill2944
      @stephanierudisill2944 9 лет назад +1

      Yes I'm trying to get the multiplicity and end behavior of a problem like this: (x-3)^2(4x-x) I keep getting it's crossing and touching at 3 and that 3 has two different multiplicities. Just really confused.

    • @brianmclogan
      @brianmclogan  9 лет назад +4

      based on what you wrote when determining multiplicity you have to have your factors in linear form(meaning inside the parenthesis the power of each variable is 1) The power of the factor is the multiplicity. By rewriting your polynomial I obtain x(4-x)(x-3)^2

    • @brianmclogan
      @brianmclogan  9 лет назад +5

      therefore your zeros will be 0,4,and 3 with multiplicities 1,1,and 2 respectively. For odd multiplicities the graph will cross, for even multiplicities the graph will bounce. Did that help at all?

    • @stephanierudisill2944
      @stephanierudisill2944 9 лет назад +1

      +Mr. McLogan's Math Channel yes thank you

  • @brunoharari6454
    @brunoharari6454 8 лет назад +4

    Thanks!! You should upload more videos! They are so helpful.

    • @brianmclogan
      @brianmclogan  8 лет назад +6

      9000 isn't enough? haha yes still uploading

  • @artsy.humanbeing2973
    @artsy.humanbeing2973 3 года назад +16

    Let's ignore the fact that I'm watching this while taking an online math test

  • @jessicawu6121
    @jessicawu6121 4 года назад

    hey quick question but what does the multiplicity actually do?

    • @jackmcmanus1238
      @jackmcmanus1238 3 года назад +1

      it determines if the function crosses or just touches the x axis at a certain zero. even touches and goes back, odd crosses

  • @stella4380
    @stella4380 2 года назад

    Can functions have no multiplicity

  • @syedmdabid7191
    @syedmdabid7191 4 года назад

    It is a polynomial of degree 5,order 3,rank 1 and p. number 0. Ans.

  • @koralismith3147
    @koralismith3147 3 года назад

    This guy is awesome

  • @rebeccamatist7036
    @rebeccamatist7036 3 года назад

    seriously...can this guy come teach my college elementary functions class? its remote...

  • @bekiyigzaw2381
    @bekiyigzaw2381 3 года назад

    what is your name sir

  • @medotedo8410
    @medotedo8410 4 года назад +1

    the polynomial degree is 5. Why it does not have 5 zeros ?

    • @brianthomas722
      @brianthomas722 2 года назад

      It does two of them occur twice and one occurs once.

    • @medotedo8410
      @medotedo8410 2 года назад +1

      @@brianthomas722
      okay
      t=0
      t= + and - sqrt3
      and what also ?

  • @_.angellopez
    @_.angellopez 2 года назад

    Man I have a final tomorrow that’s 30 questions and I’m scared I won’t graduate if I fail it. 😭

  • @kendallthompson2027
    @kendallthompson2027 4 года назад +2

    WHAT IF THERE IS NO GCF!!??!?!

  • @shadowfire04
    @shadowfire04 5 лет назад +1

    this is very good than k u

  • @tr1stonn
    @tr1stonn Год назад +1

    i got so lost at 1:03

  • @antonetteepres4962
    @antonetteepres4962 2 года назад

    I didn't get it, also I didn't get the degree of the polynomial graph 😭😔

  • @gracielorynn5347
    @gracielorynn5347 3 года назад

    When he threw the marker😭

    • @jackmcmanus1238
      @jackmcmanus1238 3 года назад

      waste of something almost perfectly good

  • @johncaulder969
    @johncaulder969 4 года назад

    Dude this is in precalculus

  • @sgoldcreatives
    @sgoldcreatives 5 лет назад +4

    lemme ride the boat

  • @JadeOscco
    @JadeOscco 11 месяцев назад

    Huh

  • @dreamy_kiwi2780
    @dreamy_kiwi2780 4 года назад

    this... was no help

  • @shawty3014
    @shawty3014 5 лет назад +4

    ur cute

  • @WestlakeDownhill
    @WestlakeDownhill 6 лет назад +3

    Terrible explanation

  • @themanwhosucksatgames3078
    @themanwhosucksatgames3078 3 года назад +1

    I'm going to fail.