05 - Polynomial Long Division - Part 1 (Division of Polynomials Explained)

More Lessons: www.MathAndScience.com
Twitter: / jasongibsonmath
In this lesson, you will learn how to divide one polynomial by another. This process is called polynomial long division, and it follows a similar procedure to the long division of whole numbers and decimals.
First, we will review how to divide whole numbers, including the concept of a remainder. We will apply these ideas to dividing polynomials using a very similar algorithm. Once we get to the end and have the remainder of the division, we will learn how to write the complete answer as the whole part plus the fractional remainder.
Finally, we will use the answer to check our work using multiplication. This process will be revisited in a future lesson where we use synthetic division to perform the division of polynomials.

Пікірлер: 135

  • @motherof3pearls
    @motherof3pearls4 жыл бұрын

    I’m starting to feel like we can conquer our Math fears! Thank you professor Jason. You are few and far between!!

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    You can conquer it! Good luck in your studies!

  • @shabanaparveen4679
    @shabanaparveen46792 жыл бұрын

    Hi Sir, I'm a school teacher of great 1-5 ,I need to learn maths and you are my best teacher, l' m learning day by day and now I've learnt many things by the help of your videos .thank you and plz keep sharing.

  • @thatomofolo452

    @thatomofolo452

    Жыл бұрын

    True true true 😊

  • @previoushamutete8454

    @previoushamutete8454

    9 ай бұрын

    Good lecturer

  • @isabellavides8002
    @isabellavides80023 жыл бұрын

    this man is quite literally the only reason why I understand math

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    @anandmishra5055

    2 жыл бұрын

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  • @YThome7
    @YThome75 ай бұрын

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    @maisyy6945 Жыл бұрын

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  • @105C09
    @105C094 жыл бұрын

    I have watched videos from as basic as this as far as LaPlace Formations. You have the gift of making the difficult understandable. God Bless you and sharing this wonderful gift.

  • @simontitus3299
    @simontitus32993 жыл бұрын

    Thank you Mr Jason you make my Brian fresh now

  • @omera.eltinai2563
    @omera.eltinai2563 Жыл бұрын

    Amazing the way you explain! Thanks a lot Professor. You are such an awesome teacher.

  • @jesseniahernandez6684
    @jesseniahernandez66844 жыл бұрын

    You are by far the BEST! I will def be visiting your website here I thought I just didn't get math but with you it's almost a breeze!! Keep the videos coming!!!

  • @jkgan4952
    @jkgan49523 жыл бұрын

    Thank you very much. I watched so many of your videos in this year, and it helps me a lot everytime!

  • @WATEVA227
    @WATEVA227 Жыл бұрын

    16:09 omg this started to making sense! Thank you Professor!!!!

  • @brettcargill6126
    @brettcargill61262 жыл бұрын

    Finally someone who can actually help! you made it make sense!

  • @RaziaMullan
    @RaziaMullan4 жыл бұрын

    Very nicely explained such confusing term in a simple way. Thanks a lot sir.

  • @husainhusain291
    @husainhusain2912 жыл бұрын

    Great skills of teaching Never seen before.

  • @DinahChifita-ps2qx
    @DinahChifita-ps2qx Жыл бұрын

    You're really a good teacher and I really understand what you teach

  • @sumateeracha1280
    @sumateeracha12802 жыл бұрын

    Best teacher ever, blessings

  • @laxlyfters8695
    @laxlyfters86954 жыл бұрын

    Jason thank you so much. You have changed my life.

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    You are very welcome! Jason, MathAndScience.com

  • @laxlyfters8695

    @laxlyfters8695

    4 жыл бұрын

    @@MathAndScience I am 32 years old i am taking Data Science and Machine Learning courses. I am good with Python. However when it comes to the math. I always hit walls. Now with you that is changing. I will be supporting by for sure becoming a streaming member.

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    @@laxlyfters8695 Awesome, thank you so much. Data Science and Machine Learning are really the future! Almost everything now from google to NASA uses this technology in software and even hardware design. Good luck to you!

  • @EliabMicha
    @EliabMichaАй бұрын

    Thankyou Very much Professor Jason this video really helped me ❤

  • @williamkasiko7152
    @williamkasiko7152 Жыл бұрын

    Teacher of the century great work

  • @faithbillion7089
    @faithbillion70892 жыл бұрын

    Watching this video in 2022! Amazing video! Love the explanation ❤

  • @105C09
    @105C094 жыл бұрын

    Hint to overcoming math fear. It's a language to learn not a mountain of confusion to hurdle. You are on a long journey not a short sprint.

  • @delia105
    @delia105 Жыл бұрын

    Nice representation and clear God bless you sir

  • @shobanjoadebisi6124
    @shobanjoadebisi6124 Жыл бұрын

    What a beautiful lesson

  • @thomasklugh4345
    @thomasklugh43452 жыл бұрын

    My head hurts, but I got it. Thanks!

  • @tobiaschapinda6771
    @tobiaschapinda67713 жыл бұрын

    Given that f(x)=ax^3-8x^2-9x+b is exactly divisible by 3x - 2 and leaves a remainder of 6 when divided by x, find the value of a and of b.please help

  • @mariallejandra
    @mariallejandra11 ай бұрын

    wow! you are so much better than my professor! thank you so much

  • @jovanjojom4739
    @jovanjojom47392 ай бұрын

    You are genius teacher. I love you sir!

  • @_Anna_Nass_
    @_Anna_Nass_2 жыл бұрын

    I like your explanation but I think putting the entire (x^2 + 2x) in parentheses might look more familiar to some of us and remind us to distribute the - easier.

  • @isaachinson4577

    @isaachinson4577

    Жыл бұрын

    Thanks Nass your comment maid me understand it better because putting it in a parentheses makes it look more easier as u said

  • @amberbazanx3
    @amberbazanx32 жыл бұрын

    I appreciate you, thank you!!

  • @stefanmostert704
    @stefanmostert704 Жыл бұрын

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    @talhabhaiunique36524 жыл бұрын

    it is really awesome and adorable video. it is my first visit and i am here due to valuable contents

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    So happy you liked it! Jason, MathAndScience.com

  • @DrileArchidrile_official
    @DrileArchidrile_officialАй бұрын

    Ur the best. Thank you 👏

  • @awhenpeter3669
    @awhenpeter3669 Жыл бұрын

    You're not operating with your normal mind. The world should look for you and appreciate you

  • @gideonbrown8138
    @gideonbrown81382 ай бұрын

    Thanks you made long division of polynomials look just like Brees.

  • @marcui_louie
    @marcui_louie Жыл бұрын

    Ok, it looks fun enough to me! Can't wait to try it! I'm serious.

  • @MathAndScience

    @MathAndScience

    Жыл бұрын

    Hope you enjoy it!

  • @marcui_louie

    @marcui_louie

    Жыл бұрын

    @@MathAndScience Yes! Thank you for teaching this!

  • @isabellamontoya7199
    @isabellamontoya71993 жыл бұрын

    thankyou so much!

  • @matthewgaydos8642
    @matthewgaydos8642 Жыл бұрын

    Jason, thanks for doing these videos.😊✍📖📚✍😊☕☕☕

  • @MathAndScience

    @MathAndScience

    Жыл бұрын

    Welcome!

  • @matthewgaydos8642

    @matthewgaydos8642

    Жыл бұрын

    @@MathAndScience Jason, do You have a Electrical Engineering Degree?😊👊😊☕☕

  • @SamehSamirHmdy
    @SamehSamirHmdy4 жыл бұрын

    Perfect appreciated

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    Welcome! Jason, MathAndScience.com

  • @germanjustice1822
    @germanjustice18222 ай бұрын

    Thank you sir

  • @Nightcrawler58
    @Nightcrawler58 Жыл бұрын

    You are awesome!!!!!!

  • @stephenhungwa
    @stephenhungwa3 жыл бұрын

    Bravo 👏👏

  • @felixyongco4420
    @felixyongco4420 Жыл бұрын

    Thank you Professor Jason. I can only recall , monomial binomial , and polynomial theory a very long , long time ago. It rings the bell the clarity of your kind instruction and I learned more reviewing the past... How much I liked learning Maths until to this day .. of my 73 years of age.. Again , thanks .. for your kindness , patience , and understanding to make us learn... God bless..Now division and checking of polynomial division is easier with your help...esp. the introduction of ( - ) sign and proceeding to arrive at the lowest remainder..

  • @justaman7745
    @justaman77453 жыл бұрын

    Great 👍

  • @cassandrabrennan6855
    @cassandrabrennan68556 ай бұрын

    Thank you. You make me like math.!@!@!

  • @asifofficial2802
    @asifofficial28023 жыл бұрын

    Where from sir you?

  • @tresajessygeorge210
    @tresajessygeorge210 Жыл бұрын

    THANK YOU... SIR...!!!

  • @MathAndScience

    @MathAndScience

    Жыл бұрын

    So nice of you

  • @elizabethpineda656
    @elizabethpineda6563 жыл бұрын

    Malaking tulong po sa aming mga estudyante ,salamat po.

  • @yourmissingc0ckring759

    @yourmissingc0ckring759

    3 жыл бұрын

    D ko parin naintindihan 😩😩😿😿👁️💧👄💧👁️

  • @truth6554
    @truth65544 жыл бұрын

    Thank you was in a bad accident and I'm missing a lot of little pieces I used to have before.

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    Good luck in your studies! Jason, MathAndScience.com

  • @KronMaxnews
    @KronMaxnews8 ай бұрын

    Thanks

  • @kennethlloyd9995
    @kennethlloyd99952 жыл бұрын

    I needed this instruction in 1977

  • @laurielane4740
    @laurielane47403 жыл бұрын

    Every part was great until you went to check it. I just don't understand. x(x + 2) + (x +2) + (x +2) -6/x + 2 How do you end up with so many x + 2's from checking it? Where did they come from? Helpppp! I'm soooo lost.

  • @4everThoughtful

    @4everThoughtful

    3 жыл бұрын

    Hopefully, you understand now. It's a month later. If not, respond and I'll explain it.

  • @plaasboer1568

    @plaasboer1568

    3 жыл бұрын

    Learn the distributive property.

  • @likesmusic11
    @likesmusic112 жыл бұрын

    Part 2?

  • @z1wv
    @z1wv Жыл бұрын

    Where is the part 2?

  • @marciaEK17
    @marciaEK172 жыл бұрын

    👍👍👍

  • @Reindolf-k2
    @Reindolf-k27 ай бұрын

    Polynomial graph for shs

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4/x+2=(x4+x2-24x+16)

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3-4/2

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    19/5

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4/x+2=(x4+6x3-8x2-15x+16

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    174 1/2

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    3 4/5

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4/x+2=x2+1-8+4

  • @thatomofolo452
    @thatomofolo452 Жыл бұрын

    💪💪💪💯💫

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4/x+2=x2+1-8-4

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4/-x3+2x2+11x-22

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4/x+2

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    2/349

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4/x+2=x2+5-8

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    1

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    /36+4x2+x4

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2-1/2

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    6-2x-x2/2-x=(6-2x-x2)(6-2x-x2)

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4/x+2=(x2+3x-4)(x2+3x-4)

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    6-2x-x2/2-x=36+4x2+x4

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4/x+2=(x2+3x-4)/1

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4/x+2=x2+6x-0+0

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    /2x4+9x+16

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4=x3-2x2-11x+22

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    6-2x-x2/2-x

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4/x+2=0+2x-2x-5x+0

  • @MYfriendsknow
    @MYfriendsknow Жыл бұрын

    THE ABSOLUTE BEST TEACHER 🏆 🏆 🏆 * YOU SHOULD RECEIVE A PRESIDENTIAL TEACHING AWARD FROM THE USA PRESIDENT ((maybe not this president2022😉)) Other teachers always skip steps - they figure that you already learned it - then skip it even when it directly applies to the problem at hand. * You, however, never skip and never assume; rather you ingrain the necessary math tools and that is why going through your math course DOESN'T LEAVE ANY LEARNING GAPS like in most other courses. / Just came here to comment as I always watch on a platform where I can not "Like" L O V E all your videos and thank GOD you went into teaching. PEACE

  • @massachusettshealthnewspage
    @massachusettshealthnewspage2 жыл бұрын

    3+(4/5) ≠ 3(4/5)

  • @noelnoronha4311
    @noelnoronha43112 жыл бұрын

    Sir I have a test tomorrow if i get good marks tomorrow I will refer your channel to my friends.

  • @MathAndScience

    @MathAndScience

    2 жыл бұрын

    Thank you and good luck!

  • @noelnoronha4311

    @noelnoronha4311

    2 жыл бұрын

    @@MathAndScience Hello sir,it is me again. Because of you I scored 16/20 in my exam. I have referred your channel to all my friends, thank you sir for teaching me

  • @MathAndScience

    @MathAndScience

    2 жыл бұрын

    @@noelnoronha4311 that’s awesome! Congrats to you and thank you so much!!

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    /2-x

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4/1=x2+3x-4

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4=2x4+9x+16

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4=(x2-11)(x-2)

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    /x+2

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    6-2x-x2/1=6-2x-x2

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4=(x2+3x-4)(x2+3x-4)

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x+2

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    2-x

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    6-2x-x2

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    polynomial

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    x2+3x-4=x2+3x-4

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    6-2x-x2=6-2x-x2

  • @_Anna_Nass_
    @_Anna_Nass_2 жыл бұрын

    Skip to 15:23 to skip the long division review

  • @HSDarke
    @HSDarke7 ай бұрын

    this sucked. i was earning social security by the time he got to what i needed.

  • @eliatalented7592
    @eliatalented75924 жыл бұрын

    Good sir

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    I really appreciate it! Jason, MathAndScience.com

  • @eliatalented7592

    @eliatalented7592

    4 жыл бұрын

    @@MathAndScience Ok 2gether