Polynomial Remainder Theorem: Factor Theorem & Factorization


  • 23
  • 0
  • 0.535
  • Reply

  • Open in the desktop app ADD TO PLAYLIST


    Published on Dec 20, 2020
    About :

    In this video I go over further into the Polynomial Remainder Theorem and this time look at a special case of it, known as the Factor Theorem. Recall that the Remainder Theorem states that the remainder of a division of an univariant (single-variable) polynomial by the polynomial x – k is equal to f(a) and is a constant. A special case of this is when the remainder is equal to 0, which thus makes the polynomial x – k a factor of f(x). This means that f(k) = 0, or in other words k is a root of f(x) and x – k is a factor of f(x). This result is useful when performing factorization of polynomials in order to write them in terms of simpler, or lesser degree, polynomials. I illustrate this through a useful example as well. This is a very interesting illustration of how the factor theorem can be used to find factors of polynomials so make sure to watch this video!

    Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIh4JBmSIr_Q_YSn3PZw

    View video notes on the Hive blockchain: https://peakd.com/mathematics/@mes/polynomial-remainder-theorem-factor-theorem-and-factorization

    Related Videos:

    Polynomial Remainder Theorem: Elementary Proof: https://youtu.be/Im0c25WbZBg
    Polynomial Remainder Theorem: Proof + Factor Theorem: https://youtu.be/q4lwSBObkXc
    Polynomial Long Division: (x - a) is a factor of (xk - ak) PROOF: https://youtu.be/Yp6VU3CkIEA
    Euclidean Division of Polynomials: Theorem and Proof:

    Polynomials - A Simple Explanation: http://youtu.be/IHIh7Y0kStE
    Polynomial Long Division - In depth Look on why it works!: http://youtu.be/E1H584xJS_Y
    Polynomial Long Division - Examples: http://youtu.be/7XbzCQgqBPc
    Factoring Quadratic Polynomials by Guessing: http://youtu.be/biEfGwT5pn4
    Direct Substitution for Polynomials - Simple Proof: http://youtu.be/Fnb72ERTLqY
    Polynomial Long Division: Multiple Variables: http://youtu.be/vrElU5SR6Aw .

    SUBSCRIBE via EMAIL: https://mes.fm/subscribe

    DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate

    Like, Subscribe, Favorite, and Comment Below!

    Follow us on:

    MES Truth: https://mes.fm/truth
    Official Website: https://MES.fm
    Hive: https://peakd.com/@mes
    Gab: https://gab.ai/matheasysolutions
    Minds: https://minds.com/matheasysolutions
    Twitter: https://twitter.com/MathEasySolns
    Facebook: https://fb.com/MathEasySolutions
    LinkedIn: https://mes.fm/linkedin
    Pinterest: https://pinterest.com/MathEasySolns
    Instagram: https://instagram.com/MathEasySolutions
    Email me: contact@mes.fm

    Free Calculators: https://mes.fm/calculators

    BMI Calculator: https://bmicalculator.mes.fm
    Grade Calculator: https://gradecalculator.mes.fm
    Mortgage Calculator: https://mortgagecalculator.mes.fm
    Percentage Calculator: https://percentagecalculator.mes.fm

    Free Online Tools: https://mes.fm/tools

    iPhone and Android Apps: https://mes.fm/mobile-apps

    Tags :

    mathematics calculus science messcience math

    Woo! This creator can upvote comments using 3speak's stake today because they are a top performing creator! Leave a quality comment relating to their content and you could receive an upvote worth at least a dollar.

    Their limit for today is $0!
    Time until mes can give away $0 to their commenters.
    0 Days 0 Hours 0 Minutes 0 Seconds

    To comment on this video please connect a HIVE account to your profile: Connect HIVE Account

    More Videos

    18 views 2 years ago $
    1 views 4 years ago $
    11 views 3 years ago $
    3 views 2 years ago $
    2 views a year ago $
    1 views 6 months ago $