20 - The Rational Root Theorem, Part 1 (Rational Roots of Polynomials)

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  • Опубліковано 29 вер 2024
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    Twitter: / jasongibsonmath
    In this lesson, you will learn about the rational root theorem of Algebra, which states that all possible rational roots of any polynomial can be found using a simple rule outlined in the theorem.
    We identify the factors of the trailing term and divide them by the factors of the leading term to find all possible rational roots. Then we must check each possibility to find the rational roots of the polynomial.
    We might also have to use synthetic division to find other roots after we have exhausted the possibilities given in the rational root theorem.

КОМЕНТАРІ • 41

  • @josephhsia
    @josephhsia 2 роки тому +7

    this mans explains things so clearly in so much detail that there's never a moment where i'm confused or unclear about a single thing. You are a valuable resource especially too students who are struggling in math.

    • @MathAndScience
      @MathAndScience  2 роки тому +2

      Thank you so much!

    • @josephhsia
      @josephhsia 2 роки тому

      @@MathAndScience Oh wow, and you even reply! You sure are like one of the best(if not the best) math youtubers I know of.

    • @MathAndScience
      @MathAndScience  2 роки тому +3

      Awww thanks so much. I don’t reply to all comments but yours really made me smile. Thanks again so much!

  • @danielvonbose557
    @danielvonbose557 Рік тому

    Use synthetic division to evaluate the polynomial, zero means root and then factor to reduce order.

  • @MathwithLukgaf
    @MathwithLukgaf 2 роки тому

    Nice one

  • @LeFruFru
    @LeFruFru 4 роки тому +11

    Ok Jason, or should I call you sensei.
    My goal is to go onto teach myself pre-calc so I can test into Calc at my local university and get myself a bachelors in computer science in a few years.
    If I do, it all started with you bud! Thank you!

  • @ll-vf5rm
    @ll-vf5rm 2 роки тому +4

    You're my hero, my teacher never explains this stuff correctly, I'm so glad I found your channel ;;

  • @tresajessygeorge210
    @tresajessygeorge210 2 місяці тому

    THANK YOU... SIR...!!!
    It is a whole lot to grasp and remember...!!!

  • @motherof3pearls
    @motherof3pearls 4 роки тому +2

    Thank you professor Jason you are a god send! 😇

  • @shivampal9547
    @shivampal9547 3 дні тому

    I am from India thanku ❤️ so much sir

  • @danielvonbose557
    @danielvonbose557 Рік тому

    I was never taught the proofs to these algebraic theorems.

  • @robertovalenzuela832
    @robertovalenzuela832 3 роки тому +1

    To know math is one skill;to be able to teach is another skill,you sir are awsome at both

  • @tumutapadre5845
    @tumutapadre5845 4 роки тому +4

    Thank you for this video and sharing this knowledge free of charge sir! IT IS GREATLY APPRECIATED! KNOWLEDGE SHOULD BE FREE! C:

  • @FaithSilembo
    @FaithSilembo 8 місяців тому

    How do you get (x-1)to solve for the equation

  • @danielnegussie4894
    @danielnegussie4894 Рік тому +1

    He is the best teacher ever! I learned a lot from this gentleman.

  • @zeniacombong9755
    @zeniacombong9755 4 роки тому +1

    Good! More Uploads and give him 1,000,000 suscribers!

  • @htg4666
    @htg4666 4 роки тому +1

    Dear Teacher,
    Some of your videos are uploaded to an another UA-cam channel. The name of that channel is "in shop".
    Is that with your permission or they uploaded your videos without your permission and illegally ?

    • @MathAndScience
      @MathAndScience  4 роки тому +2

      This is not with my permission. Can you send me a link to the channel so I can have youtube issue a takedown? Thank you so much!

    • @htg4666
      @htg4666 4 роки тому +2

      @@MathAndScience This is the URL of that channel : ua-cam.com/channels/Y75fP21EwYy0Pr9VyknlMw.htmlvideos
      Thank you so much.
      Best regards,

  • @myominswe3552
    @myominswe3552 18 днів тому

    Very clear! Thank you!

  • @jaidenyawn169
    @jaidenyawn169 3 роки тому

    Why would you start with one example then do another one?? I needed help with the first example but no you decided to change it thanks

  • @shyrecinege293
    @shyrecinege293 3 роки тому +1

    You are an excellent teacher!!

  • @fresinesamboko5037
    @fresinesamboko5037 Рік тому

    Thank you for your explanation and it is very clear and understandable

  • @cliffordygot9867
    @cliffordygot9867 2 роки тому

    Sir where is the part 2 in which can you give an example that its highest exponent is 5 or 6

  • @Mady3en
    @Mady3en 8 місяців тому

    This video was so helpful thank you so much

  • @Matandfun
    @Matandfun 3 роки тому +2

    If you have amnesia can you remember what a number is? Does the scenario change if someone is trying to kill you?

  • @edmundappau7755
    @edmundappau7755 2 роки тому

    How can I get the full video on polynomials

  • @aliatomieva4213
    @aliatomieva4213 Рік тому

    4:14 did you mean integer coefficients?

  • @hailelove1
    @hailelove1 Рік тому

    Glad to know you. You are amazing

  • @ArunKumar-yb2jn
    @ArunKumar-yb2jn 2 роки тому

    This was a great lecture. Thank you.

  • @helloimgen3529
    @helloimgen3529 2 роки тому

    didnt listen in class so, this is a life saviour

  • @bobmelon3054
    @bobmelon3054 4 роки тому

    Can you do a Course on C++

  • @vford1000
    @vford1000 4 роки тому

    Great stuff for learning!

  • @danieldegeratu6658
    @danieldegeratu6658 4 роки тому +1

    My head hurts while I'm watching this

  • @chalknasty69
    @chalknasty69 7 місяців тому

    The i killed me 😂