Synthetic Division and Remainder Theorem, Factoring Polynomials, Find Zeros, With Fractions, Algebra

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  • Опубліковано 3 лис 2016
  • This precalculus video tutorial explains how to use synthetic division to divide polynomials, evaluate functions using the remainder theorem, factoring polynomials, and finding zeros or roots.
    Introduction to Polynomials: • Polynomials - Classify...
    Polynomials - Basic Operations:
    • Polynomials - Adding, ...
    Dividing Polynomials By Monomials:
    • Dividing Polynomials B...
    How To Graph Polynomial Functions:
    • How To Graph Polynomia...
    Intermediate Value Theorem:
    • Intermediate Value The...
    _____________________________________
    Long Division - Polynomials:
    • Long Division With Pol...
    Polynomial Long Division - More Examples:
    • Polynomials - Long Di...
    Synthetic Division of Polynomials:
    • Synthetic Division of ...
    Remainder Theorem & Synthetic Division:
    • Remainder Theorem and ...
    Factor Theorem & Synthetic Division:
    • Factor Theorem and Syn...
    Rational Zero Theorem:
    • Finding All Zeros of a...
    ______________________________________
    Real & Imaginary Solutions - Polynomials:
    • How To Find The Real &...
    Solving Polynomial Equations - Synthetic D:
    • Solving Polynomial Equ...
    Solving Polynomial Equations With Excel:
    • Solving Polynomial Equ...
    Writing Polynomial Functions Given Zeros:
    • Writing Polynomial Fun...
    Descartes Rule of Signs:
    • Descartes Rule of Signs
    Solving Polynomial Inequalities:
    • Solving Polynomial Ine...
    _____________________________________
    Final Exams and Video Playlists:
    www.video-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

КОМЕНТАРІ • 159

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  5 місяців тому +3

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    @ichtozavuzovsky8370 5 років тому +342

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      @TheOrganicChemistryTutor  6 років тому +51

      I like to eliminate the answers that I know are definitely wrong until I find the right one if it's a word based problem. If it's math based problem with just numbers - I find it easier to solve the problem and then identify the answer. But that's just me. What works for me may or may not work for you.

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      @hman6590 5 років тому +9

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    @cadencemaynard2449 2 роки тому

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    @Mahra196 2 роки тому +1

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  • @dccglobalengineering
    @dccglobalengineering 3 роки тому

    Nice way to divide polynomials. Just correct 45 x 3 = 135. The rest steps are correct. I truly enjoy watching your videos.

  • @wistfulgraph
    @wistfulgraph 3 роки тому

    Thank goodness for synthetic division. It’s so much quicker than long division.

  • @luffyrarenoa7272
    @luffyrarenoa7272 2 роки тому +1

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  • @chriswilliams5291
    @chriswilliams5291 2 роки тому +1

    Excellent video very helpful! What is the purpose of checking your work with long division? Are there situations where you do the synthetic division correctly, but doing long division afterward proves something different from the solution obtained from synthetic division?

  • @justplayyt1265
    @justplayyt1265 2 роки тому

    Thank you! Very useful 'till today

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  • @djswirls
    @djswirls 3 роки тому +1

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  • @JamezBnd007
    @JamezBnd007 4 роки тому

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  • @sharonjoydeleon224
    @sharonjoydeleon224 2 роки тому

    The first factor you wrote for 3x^3-x^2+7x +6 which is (3x + 2) that was correct! You only have to reduce the quotient in the synthetic division. so 3 -3 9 would be 1 - 1 + 3 or x^2 - x +3.

  • @cortezsonnen1693
    @cortezsonnen1693 6 років тому +6

    dang have to re-watch it more but so far,
    I'm learning.

  • @pangilinanzyra7927
    @pangilinanzyra7927 3 дні тому +1

    You can also use 2 instead of -1 in 50:38. Then, 3 instead of -2 in 56:33. You'll get the same answers:D

  • @zeinababdilahi2187
    @zeinababdilahi2187 6 років тому

    Thank you for All teacher

  • @marqustarango6942
    @marqustarango6942 4 роки тому

    props to you for being able to do math for an hour without getting bored

    • @azyle2104
      @azyle2104 4 роки тому +1

      Maths can be like the most interesting subject when it's not being the hardest

    • @azyle2104
      @azyle2104 4 роки тому +1

      And even within its difficulty and intricacy, there is structure and it's amazing how everything clicks

  • @nityaranjandey9437
    @nityaranjandey9437 7 років тому +2

    good job

  • @snoopysrose
    @snoopysrose 3 роки тому +2

    Everyone: omg wow you're so great thanks so much !!
    Me, not even a minute into the video: this dude fr sounds like that worm from Corpse Bride

  • @leboblack
    @leboblack 5 років тому

    Thank you 🙏🏽

  • @aidaqurrotaain3225
    @aidaqurrotaain3225 2 роки тому

    hi, i want to ask something. is it possible to get multiple answers capable to "make" zeros from the factors? from the examples, we stopped at 1 where we found the 0 and then proceeded. if multiple numbers are able to "make" zeros, then which should we use? or is that not even possible in the first place? thanks.

  • @forresterickson6225
    @forresterickson6225 Рік тому

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    @DragonYeng 4 роки тому

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    @sunritmullick2146 3 роки тому +1

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    @christopherwong9576 6 років тому

    Dude u the man

  • @musahadam6775
    @musahadam6775 3 роки тому +1

    God bless you

  • @draugami
    @draugami Рік тому

    Is synthetic division limited to single degrees of x? Can synthetic division be used to divide by x^2+3x+9?

  • @vasuramlovdhya997
    @vasuramlovdhya997 5 років тому

    Thanks Bhai

  • @neillawrence4198
    @neillawrence4198 3 роки тому

    Damn, I forgot all about factoring by grouping. Earlier I completed 10 examples, all of which, after removing the first factor, ended up a 4 term polynomial with power of three. Removed the 2nd factor by repeating the trial and error method of selection of x and synthetic division. Then factored the remaining 3 term quadratic. I'm not even going back to see how much extra work I may have done.

  • @florenceodjer5912
    @florenceodjer5912 2 роки тому

    God bless you 🙏

  • @azyle2104
    @azyle2104 4 роки тому

    Amazing

  • @sanopann1896
    @sanopann1896 Рік тому

    at 7:41 when you want to confirm your answer using long division what should you use is it this one x+4 or x= -4

  • @insomnia_aizawa339
    @insomnia_aizawa339 Рік тому

    came in clutch for my honors math study

  • @MohamedOsman-xk3xe
    @MohamedOsman-xk3xe 6 років тому

    what do you mean that you repeat -+1, -+2 ..........-+6 why did you take all days 1 . is there any number i take please explaining

  • @randomclips8575
    @randomclips8575 3 роки тому

    i don’t understand one thing. Why is it when x+4 is set to zero that the new number is -4? and sometimes when you set x+4 to zero (in different problems) that it remains a positive number? So how can this happen but doesn’t always switch to the opposite digit?

  • @t.k9972
    @t.k9972 Рік тому

    thank you

  • @sagarbhusal8198
    @sagarbhusal8198 5 років тому

    supop way of teaching

  • @imranaslam2480
    @imranaslam2480 3 роки тому

    Why your channel name is organic chemistry it has to be related to mathematics ?!you are a great teacher easier to understand your explaination

  • @Nagasaski
    @Nagasaski 2 роки тому

    How do you figure out in Synthetic division if you require 0x^2?

  • @carcarki5818
    @carcarki5818 2 роки тому

    At 2:56 Why do you only divide by x instead of (x-3)?

  • @jackie-we4ep
    @jackie-we4ep 5 років тому

    Why x-3? Would you choose the largest degree?

  • @samuelrobinson7309
    @samuelrobinson7309 3 роки тому

    If it's at all possible that you'll see this and reply...umm what made you choose to use x+4 at 6:07 of the video

  • @aashsyed1277
    @aashsyed1277 3 роки тому

    what are you using to write on??

  • @atle562
    @atle562 2 роки тому

    giải phương trình bậc 3 tổng quát cũng đuộc, hoặc nhẫm ước của hệ số tự do

  • @sabinmaruis
    @sabinmaruis 3 роки тому

    Why would we divide by x-3 in the beginning of the video?

  • @clevoncodrington8855
    @clevoncodrington8855 2 роки тому

    when writing the new equation after synthetic division, you only divide the first term by x?

  • @b_rza
    @b_rza 2 роки тому

    OMG. Realizing the remainder from the division is also essentially the y-coordinate when the function is set to f(x) 🤯

  • @kennethsoko5432
    @kennethsoko5432 2 роки тому

    This z amazing wowowowowowowowowowow

  • @deitygermano6502
    @deitygermano6502 4 роки тому

    When doing the synthetic division when do you add the 0 between two numbers??

    • @adetokunboaboloye2510
      @adetokunboaboloye2510 4 роки тому

      As a place holder for a variables if it does not appear in the polynomial

    • @adetokunboaboloye2510
      @adetokunboaboloye2510 4 роки тому

      Like 3x^2+3 where you would add the zero is in between since there is no x^1

  • @ajrishad922
    @ajrishad922 6 років тому +1

    Your the best

  • @Bicobo
    @Bicobo 6 років тому

    Spend an hour here is better than spend 3+ hours in the lecture.

  • @crystalfrost5566
    @crystalfrost5566 3 роки тому +1

    The length of this video is as long as a normal class

    • @yeezet4592
      @yeezet4592 2 роки тому

      But it covers the content of like 3

  • @benanthonybalane8191
    @benanthonybalane8191 3 роки тому

    With Zero Remainder 2x Squared 11 Plus ➕ Portion Quotient With Write ✍ 👌 😀 2x Cubed + 5x Squared -6x ➕ 9
    -(2x Cubed- 6x Squared = 0 + 11x Squared- 6x +9
    -(11x Squared - 33x)
    27 + 11- 13x.

  • @harutoaisha6283
    @harutoaisha6283 Рік тому

    ''COLLEGE ALGEBRA''
    me who's just in grade 10 but already studying this

  • @cinnamon.5051
    @cinnamon.5051 Рік тому

    What if is the divisor is 2x-3??

  • @filipborin555
    @filipborin555 4 роки тому

    Long division synthetic division synthetic division long division :)

  • @Angel-rk1sb
    @Angel-rk1sb 4 роки тому

    Time stamp for topic 6?

  • @benanthonybalane8191
    @benanthonybalane8191 3 роки тому

    Synthetic Polynomials Thegorem Binomial

  • @saramaher
    @saramaher 5 років тому

    I love you

  • @jetzellemaerivero5210
    @jetzellemaerivero5210 3 роки тому

    Can you help me please on how to solve this problem by using synthetic division 2x⁴+4x³-5x² +2x-3 divided by 2x²+1 I don't know how🥺please 😊😊

  • @iresharachchige9134
    @iresharachchige9134 6 років тому

    julio gonzalez

  • @samuelnzabandora4790
    @samuelnzabandora4790 6 років тому +2

    This videos is good but it seems to really slow playing

    • @samisiddiqi7814
      @samisiddiqi7814 6 років тому

      Samuel Ganza NZABANDORA
      It appears slow because he repeats problems of a same topic before advancing to the next.

    • @tommy.carrillo
      @tommy.carrillo 4 роки тому +4

      You can change the playback speed

  • @pshy3406
    @pshy3406 2 роки тому

    You are explaining wow but I need D instead of x so please solve D problems

  • @monkey.dgeorge9318
    @monkey.dgeorge9318 2 роки тому

    I've always wondered: In america, do yous call "Universities", "College"?