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

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

Рет қаралды 107,778

Күн бұрын

More Lessons: www.MathAndScie...
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: 136

@shabanaparveen4679 2 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 Жыл бұрын

True true true 😊

@previoushamutete8454 11 ай бұрын

Good lecturer

@motherof3pearls 4 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 4 жыл бұрын

You can conquer it! Good luck in your studies!

@isabellavides8002 3 жыл бұрын

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

@anandmishra5055 2 жыл бұрын

Same here mam..I tutor kids from USA UK and other countries by following him. God bless him always the world needs him

@YThome7 6 ай бұрын

For the first time I have to admit that a presentation could be as good as a good textbook. Thank you, Sir.

@maisyy6945 2 жыл бұрын

Ahh you saved my grades, your teaching is very clear and a lot better than my teacher at school😭 thank you so much❤️❤️

@105C09 4 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 3 жыл бұрын

Thank you Mr Jason you make my Brian fresh now

@omera.eltinai2563 Жыл бұрын

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

@105C09 4 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.

@WATEVA227 Жыл бұрын

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

@MdEmon-lj5ge Ай бұрын

Almighty bless you, You are a nation maker!

@brettcargill6126 2 жыл бұрын

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

@laxlyfters8695 5 жыл бұрын

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

@MathAndScience 5 жыл бұрын

You are very welcome! Jason, MathAndScience.com

@laxlyfters8695 5 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 5 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!

@jkgan4952 3 жыл бұрын

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

@gideonbrown8138 4 ай бұрын

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

@jovanjojom4739 4 ай бұрын

You are genius teacher. I love you sir!

@awhenpeter3669 Жыл бұрын

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

@EliabMicha 3 ай бұрын

Thankyou Very much Professor Jason this video really helped me ❤

@thomasklugh4345 2 жыл бұрын

My head hurts, but I got it. Thanks!

@_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 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

@tresajessygeorge210 Жыл бұрын

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

@MathAndScience Жыл бұрын

So nice of you

@husainhusain291 2 жыл бұрын

Great skills of teaching Never seen before.

@DinahChifita-ps2qx Жыл бұрын

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

@sumateeracha1280 2 жыл бұрын

Best teacher ever, blessings

@jesseniahernandez6684 4 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!!!

@marcui_louie Жыл бұрын

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

@MathAndScience Жыл бұрын

Hope you enjoy it!

@marcui_louie Жыл бұрын

@@MathAndScience Yes! Thank you for teaching this!

@mariallejandra Жыл бұрын

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

@shobanjoadebisi6124 Жыл бұрын

What a beautiful lesson

@RaziaMullan 5 жыл бұрын

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

@elizabethpineda656 3 жыл бұрын

Malaking tulong po sa aming mga estudyante ,salamat po.

@yourmissingc0ckring759 3 жыл бұрын

D ko parin naintindihan 😩😩😿😿👁️💧👄💧👁️

@faithbillion7089 2 жыл бұрын

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

@williamkasiko7152 Жыл бұрын

Teacher of the century great work

@talhabhaiunique3652 5 жыл бұрын

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

@MathAndScience 5 жыл бұрын

So happy you liked it! Jason, MathAndScience.com

@DrileArchidrile_official 3 ай бұрын

Ur the best. Thank you 👏

@germanjustice1822 4 ай бұрын

Thank you sir

@delia105 Жыл бұрын

Nice representation and clear God bless you sir

@stefanmostert704 Жыл бұрын

This guy is amazing!

@truth6554 5 жыл бұрын

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

@MathAndScience 5 жыл бұрын

Good luck in your studies! Jason, MathAndScience.com

@KronMaxnews 10 ай бұрын

Thanks

@kennethlloyd9995 2 жыл бұрын

I needed this instruction in 1977

@racquelsabesaje4562 Жыл бұрын

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

@cassandrabrennan6855 8 ай бұрын

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

@racquelsabesaje4562 Жыл бұрын

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

@racquelsabesaje4562 Жыл бұрын

x2+3-4/2

@felixyongco4420 2 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..

@racquelsabesaje4562 Жыл бұрын

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

@racquelsabesaje4562 Жыл бұрын

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

@racquelsabesaje4562 Жыл бұрын

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

@Brainactor 9 ай бұрын

Polynomial graph for shs

@racquelsabesaje4562 Жыл бұрын

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

@racquelsabesaje4562 Жыл бұрын

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

@racquelsabesaje4562 Жыл бұрын

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

@matthewgaydos8642 Жыл бұрын

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

@MathAndScience Жыл бұрын

Welcome!

@matthewgaydos8642 Жыл бұрын

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

@tobiaschapinda6771 3 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

@racquelsabesaje4562 Жыл бұрын

x2+3x-4/x+2

@racquelsabesaje4562 Жыл бұрын

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

@racquelsabesaje4562 Жыл бұрын

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

@racquelsabesaje4562 Жыл бұрын

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

@amberbazanx3 2 жыл бұрын

I appreciate you, thank you!!

@racquelsabesaje4562 Жыл бұрын

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

@racquelsabesaje4562 Жыл бұрын

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

@racquelsabesaje4562 Жыл бұрын

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

@racquelsabesaje4562 Жыл бұрын

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

@racquelsabesaje4562 Жыл бұрын

6-2x-x2/2-x

@racquelsabesaje4562 Жыл бұрын

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

@racquelsabesaje4562 Жыл бұрын

/2x4+9x+16

@racquelsabesaje4562 Жыл бұрын

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

@racquelsabesaje4562 Жыл бұрын

x2-1/2

@likesmusic11 2 жыл бұрын

Part 2?

@racquelsabesaje4562 Жыл бұрын

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

@racquelsabesaje4562 Жыл бұрын

/36+4x2+x4

@SamehSamirHmdy 5 жыл бұрын

Perfect appreciated

@MathAndScience 5 жыл бұрын

Welcome! Jason, MathAndScience.com

@racquelsabesaje4562 Жыл бұрын

x2+3x-4

@Nightcrawler58 2 жыл бұрын

You are awesome!!!!!!

@laurielane4740 4 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 3 жыл бұрын

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

@plaasboer1568 3 жыл бұрын

Learn the distributive property.

@racquelsabesaje4562 Жыл бұрын

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

@noelnoronha4311 2 жыл бұрын

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

@MathAndScience 2 жыл бұрын

Thank you and good luck!

@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 2 жыл бұрын

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

@racquelsabesaje4562 Жыл бұрын

19/5

@racquelsabesaje4562 Жыл бұрын

6-2x-x2

@isabellamontoya7199 3 жыл бұрын

thankyou so much!

@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

@racquelsabesaje4562 Жыл бұрын

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

@racquelsabesaje4562 Жыл бұрын

174 1/2