Dividing polynomials using long division

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Dividing polynomials using long division

Рет қаралды 749,627

Күн бұрын

👉 Learn how to divide polynomials using the long division algorithm. To be able to solve a polynomial, we need to be able to get the factors and hence the zeros. To get the factors, we use the rational zeros theorem to get one of the zeros and hence one of the factors and then divide the original polynomial with the factor obtained to get the remaining factors.
To divide a polynomial using the long division algorithm, we continuosly divide the polynomial (dividend) with the term having the highest power on the variable(s) in the divisor to get the quotient. We will then multiply all the terms of the divisor by the quotient and subtract the result from the dividend. The result is divided again by the term having the highest power in the variable in the divisor to get another term of the quotient. This process is repeated until the term having the highest power of the variable in the divisor can no longer divide into the dividend.
The result after subtracting the product of the last term of the quotient and the divisor from the remaining part of the dividend is the the remainder when the divisor divides the original polynomial. If the remainder is zero, then the divisor is a factor of the original polynomial.
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Organized Videos:
✅Divide Polynomials using Long Division
• Divide Polynomials usi...
✅Divide Polynomials using Long Division with four terms
• Divide Polynomials usi...
✅Divide Polynomials using Long Division with five terms
• Divide Polynomials usi...
✅Divide Polynomials using Long Division with missing terms
• Divide Polynomials usi...
✅Divide Polynomials using Long Division with monomial divisor
• Divide Polynomials usi...
✅Divide Polynomials using Long Division with quadratic divisor
• Divide Polynomials usi...
✅Divide Polynomials using Long Division with linear binomial divisor
• Divide Polynomials usi...
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Пікірлер: 505

@walkerbraswell6397 3 жыл бұрын

This man is the only thing preventing me from failing all of my math classes. You saved me and highschool and you're saving me in college. Thank you!!!!

@brianmclogan 3 жыл бұрын

So happy to help you out!!

@maddy8186 3 жыл бұрын

lmao 10 years and the same guy

@Unknown-qt5tl 3 жыл бұрын

@@maddy8186 😂

@spotato173 3 жыл бұрын

OMGG SAMEEEEEE I LOVE HIM SM HE REALLY HELPED ME GET A B

@funnyscenes190 3 жыл бұрын

there long divisions in college too😢

@ethanferguson8703 6 жыл бұрын

I always look forward to seeing your face the night before my math tests. Keep up the great vids!

@brianmclogan 6 жыл бұрын

😀 cheers!

@ghost-cr4tv 5 жыл бұрын

Lol

@okiagreebut5609 4 жыл бұрын

@Andy lolz

@destiny1855 3 жыл бұрын

same 😭

@fsphev 3 жыл бұрын

😂😂😂

@thearcko6137 3 жыл бұрын

Its nice to see a teacher who answers students questions instead of getting mad that they didn't understand. I like your channel and you help me a lot thanks!

@brianmclogan 11 жыл бұрын

Long division is difficult with polynomials, happy to help, keep up the hard work

@luke5339 4 жыл бұрын

Brian McLogan life saver fr. thank you

@RageCannon-tf3ob 3 жыл бұрын

What if the polynomial's leading coefficient is 3 but the 4x^2 isn't there?

@izzie275 3 жыл бұрын

@Jedidiah Malolo because some people get chemical equations and others understand algebraic. Just like some people understand long words like antidisestablishmentarianism and some people are good at learning multiple languages.

@elihiskok1405 Жыл бұрын

@@RageCannon-tf3ob might be a bit late but you have to add a “placeholder”. You would add a 0x^2. Just to keep the exponents in decending order with no skips.

@RageCannon-tf3ob Жыл бұрын

@@izzie275 Graduated a few months ago, but thanks anyway. I was able to read the word coherently though

@brianmclogan 11 жыл бұрын

stuff takes time, don't worry about it. We all were new to learning this stuff once before

@NinjaGlorious 3 жыл бұрын

Yessir!

@NinjaGlorious 3 жыл бұрын

Thanks! :)

@josiahdenney1686 6 ай бұрын

I don't like math anymore

@user-pv3qw9hc9j 6 ай бұрын

Brian.. you are the best teacher ever! Whenever I get stuck on math and find a video by you I understand it in less than 10 minutes! You are the god of the math teaching world and for that I pray to you 🙏

@imdizzie6227 Жыл бұрын

I actually cannot stress enough how much students like me appreciate videos like yours that help better explain units like these!

@2013Tayo 4 жыл бұрын

Im in college taking calc 2 and i’ve NEVER seen this until i got to integration by partial fractions. I’ve been watching videos on how to do polynomial long division and you are the ONLY one that made it make sense. Thank you!

@robertm814 3 жыл бұрын

I’m legit a 10th grader trying to learn this online. Life’s tough

@shomik99 3 жыл бұрын

@@robertm814 frfr, online math vids help a lot.

@zy8753 3 жыл бұрын

I'm in the same boat rn. Integration is tough 😅

@yujirohanma203 2 жыл бұрын

@@robertm814 its one of the easier maths topics

@_quixote Жыл бұрын

Im in 11th grade and gonna do pre calc. Ive never seen this until learning slant asymptotes lmao. Im glad I found out about this guy from early, so I just ignored all the other videos and went straight to his

@AlexAlodo 4 жыл бұрын

Finally able to understand this! My teacher never really explained where they got the numbers, so while I was always trying to figure out where a number came from, I ended up getting behind in the lesson.

@nnnn50001 4 жыл бұрын

Yep, teachers are often really smart so they don’t really explain very well

@tanveerfatima8167 4 жыл бұрын

Hello Alex you can check divide of the polynomial in my channel also please watch once

@john-fq5gk Жыл бұрын

/real

@john-fq5gk Жыл бұрын

real

@john-fq5gk Жыл бұрын

realism

@gerardmarler 4 жыл бұрын

Using this video in 2019. Thanks for helping me learn!

@abdirahmanmahamud4099 4 жыл бұрын

Your not the only one 😂

@mesni.3508 4 жыл бұрын

Using this video in 2020

@aebious8886 4 жыл бұрын

@@mesni.3508 same

@madelinehoyt7007 3 жыл бұрын

Just wait for 2020...

@papagage8051 3 жыл бұрын

Still using it in 2021

@brianmclogan 11 жыл бұрын

thank you for your kind words, I know it's tough and frustrating trying to understand math at times. Keep up the hard work. I'll do my best to keep making videos for you,

@DerangedJoker777 2 жыл бұрын

10 years later and here we are, much obliged. I really appreciate the fact you explained how you got each answer, my algebra 2 teacher just expects us to know everything.

@bradencarroll7332 Жыл бұрын

My teacher explained it, but... didn't do a really good job, then proceeded to tell me I "wasn't trying" lmaoooooooooo.

@brianmclogan 10 жыл бұрын

I feel you, I had a very similar experience. Long division takes time to sink in. Especially with polynomials. keep with it and let me know if there is anything else I can do to help you out

@ComradeHoan 6 жыл бұрын

Brian McLogan i would like to say thank you this really helps

@_quixote Жыл бұрын

@@ComradeHoan Same

@brianmclogan 13 жыл бұрын

awesome, thanks for watching!

@nebulai9587 3 жыл бұрын

Mr. Mclogan am I awesome?

@VVyatt. 3 жыл бұрын

@@nebulai9587 NO 😂😂😂😂😂

@rlynno2555 3 жыл бұрын

@@nebulai9587 yes :)

@user-bm6sx3hk9r Жыл бұрын

@@nebulai9587 bro what kind of question is that

@Golden_Raijin Жыл бұрын

I was told as a child that I was "bad at math" because I had trouble learning new concepts (despite being very good with arithmetic) so I've developed mental blocks which make my brain shut off and my heart-rate spike whenever I see a sheet of paper with numbers on it. Watching these videos and learning in plain terms has helped remind me that I'm *not* "bad at math" and I just need to breathe in and get past my insecurities. Thank you, Mr. McLogan. I'm more proud of the C I have in college algebra than any A I've ever gotten.

@matte3997 5 жыл бұрын

I wish I was in your class 😭

@nebulai9587 3 жыл бұрын

Online class now.

@legolepsy5265 8 ай бұрын

Mclogan, man it’s been 12 years since you posted this. I’m in tenth grade, only been watching your channel since the sixth grade, but you’ve help me so much. I can’t explain how much these videos help my grade. I’ve been stuck on this topic for so long, and then suddenly a light bulb went off. THANK YOU SO MUCH.

@jassminb2250 6 жыл бұрын

Love love your videos!! You are the reason why I’m hanging in pre cal. Teachers like you are very appreciated. Thank you so much!!

@brianmclogan 6 жыл бұрын

you are very welcome Jassmin! happy to be there for you!

@JoseMartinez-xz1hj 3 жыл бұрын

You are my savior because I do not understand my trig teacher at all. You help me get a 100 on all my test. Thank you Mr. McLogan.

@RicardoDelosSantos1974 3 жыл бұрын

its been nine years since the video posted but the video is still helping us.

@joshelliott8039 2 жыл бұрын

Finally I can understand this, my teacher just does it on the board and doesn’t explain a thing and expects us to know it

@fridaee 9 ай бұрын

Me and my classmates have been struggling a lot with our current math teacher but when i watched this, everything clicked! Tysm!!

@marcogranados2477 4 жыл бұрын

Taking College Algebra over the summer because of covid and we are receiving 0 instructional help from our teacher + she has the thickest Russian accent, so I am forced to KZfaq all of my sections for help and you, Mr. McLogan have come in clutch over and over again! Thank you

@ambulantgaming8483 3 жыл бұрын

This is college algebra? This is commonly taught in beginner alg 2 usually, some advanced courses may even squeeze it into alg 1

@mr.toledo7782 3 жыл бұрын

Wow even tho this video was posted 9 years ago it still helped out a lot. Thanks🙏🏼✝️

@LottoSmoke420 3 жыл бұрын

Because math answers can’t be argued and will always remain the same.

@27.x Жыл бұрын

Algebra exam tomorrow… thank you!

@tesagolden917 4 жыл бұрын

I teach high school math remotely right now because of the Coronavirus. Your videos have been saving me so much time! Thank you!

@StreamyWatch1 3 жыл бұрын

With online class and bad quality, it’s hard to focus on what’s going on, this helps a lot .

@resurgent0 Жыл бұрын

omg, 2 minutes in and i was already understanding how to solve it. thank you so much!

@yazmynknoll5920 10 ай бұрын

Your kids are SO lucky to have you as a teacher. Your method is so direct and effective

@freidylopez7346 4 жыл бұрын

Thank you for your video Brian, from Nicaragua. I share your videos with my class for reinforcement

@kantanaik7201 3 жыл бұрын

I love your videos , I help my son with his Math and I watch these videos to clear my concepts - its like I am learning Math again after 30 years .. You make it so easy..

@rileysmindcom9485 Жыл бұрын

I didn't learn long division when I was in elementary school because I had a disability. But I love re-learning things to get even more ahead in math, not just the subject but doing the same thing for other clases. I appreciate the help from this video Mr. Mclogan, it's actually easier than the way my teacher did it today it was a little confusing but, I'm understanding it now.

@evannall9786 Жыл бұрын

Thanks so much for the video, it saved me from my algebra 2 teacher who taught it poorly.

@javiersantoryn7992 10 ай бұрын

Hello Brian. First of all I want to thank you for the excellent classes you have posted. I'm taking college algebra and many times I have to watch videos because I finished high school like 45 years ago and I don't remember everything. I'm doing my best but there are things that I forget easily because of my age. You make this class easier to understand. I wish you my very best!!

@darkslope_ 7 ай бұрын

This is the only thing that has ever tripped me up in Algebra 2, thanks for helping me learn it better!

@gloriousforever3451 3 жыл бұрын

Love how you explain everything clearly and concisely. Sorry to my math teacher but when he explains, it's like he's trying to make someone remember how to do it, not teach someone who's new how to do it.

@2013Tayo 4 жыл бұрын

“No..it doesnt make sense at alll.. “ girl shut up lol i cant be a teacher

@christianjackson1806 3 жыл бұрын

Same energy here

@arfsz 3 жыл бұрын

2020 and your old videos still help. You are a legend man thank you

@BulbasaurNoBulbasaurNo 2 жыл бұрын

For 2 weeks I have been struggling with long division, but the way you explained it just made it click! Thank you so much!

@brianmclogan 12 жыл бұрын

That is why I do this, I want to make math education accessible to all. Are you going back to school?

@jesusmendez2139 6 жыл бұрын

Brian McLogan iqqrwwwewqrq

@scarletswalking28 6 жыл бұрын

Dude. I never learned long division in school, and dividing polynomials was the first time I had tried it. Thank you for putting these up.

@brianmclogan 6 жыл бұрын

you are very welcome!

@kyrawaite6691 6 жыл бұрын

Really

@nebiyathamza 2 жыл бұрын

10 years later, this video is still relevant. I needed a refresher

@brianmclogan 2 жыл бұрын

Perfect!

@JesusMitchell 3 жыл бұрын

Thanks for giving me hope and motivation to keep going through these lessons!

@johnweber4504 4 жыл бұрын

I wish I had this guy for math, he seems like a great guy

@Jayme_Le4457 11 ай бұрын

been watching since high school!! saving my life in college rn!

@shivtanti221 Жыл бұрын

Taking AP Pre-Calculus this semester and I have my Unit 2 Test tomorrow. Your videos are the reason I do good in that class. THANK YOU!!!!

@averagekaitie 4 ай бұрын

your videos help me so much because my professor isn’t the best at explaining things and so i’m often left to teach myself, but your videos explain things so clearly!! thank you!!

@juNr629 11 жыл бұрын

Thanks man you are the best ! I am a college student and I am studying for finals and your videos helped out A BUNCH !

@gurandomilk7555 2 жыл бұрын

Thank you for all your hard work sir! You're one of the biggest reasons why I can still keep my Math grades up even in modular learning

@sa_yo_na_ra9458 Жыл бұрын

The fact this was posted 11 years ago and STILL helping people is amazing

@norscout3031 2 ай бұрын

God Bless you! Thank you for this! I'm here in 2024 and you're a big help!

@hamidpoya558 5 жыл бұрын

You are one of the best gem youtube has!!!! THANKS FOR YOUR SERVICE!!!

@Deedlanger 4 жыл бұрын

Thank you so much this method is way better than other methods my teacher’s taught in school 🙂

@michaelwalsh1856 2 жыл бұрын

dude, you are such a good teacher you take the gibberish my professor tells me and make it understandable

@patriciadominguez8003 4 жыл бұрын

Thank you for helping me out. Breaking it down easily by hold it places value. The professor doesn't breaking easily as you do.

@sadcowboysfan.. 2 ай бұрын

petition to construct a Brian McLogan statue you sir are a legend

@ssamerica3062 9 ай бұрын

This honestly feels like magic.

@Samo-wi8qq 2 жыл бұрын

Actually the only person who helps me in my math class , and to be honest you help me to solve whole my confusion in lots of subjects.... * thanks a lot *

@littlelillies3656 2 жыл бұрын

Is this what understanding math feels like???? Thank you thank you thank you

@rahmahmeligy301 4 жыл бұрын

Thank you so much, your teaching is really a life saver for me when I go into exams

@autumn38 4 жыл бұрын

Doing online school rn and my teacher is teaching though khan academy. Youur videos help me process things so much better thank you!

@brianmclogan 4 жыл бұрын

So happy to be there for you!!

@yeckno 3 жыл бұрын

lowkey carrying my trig grade rn ty

@lostcheese3698 3 жыл бұрын

you're the reason I passed math, thank you! its 2020, damn

@pointy9941 3 жыл бұрын

No its 2021

@shrippie-4214 5 ай бұрын

I've learnt the majority of Algebra 1 in like two weeks the dam long division method is the only thing getting me right

@eatsheet7087 3 жыл бұрын

when you wrote 40 instead of 42 i thought my calculator is broken

@Jesse_Scoccimarra 3 жыл бұрын

This is absolutely confusing, but this guy explains it the best, I just need to take my time understanding it.

@danmagruder9836 Жыл бұрын

Math finals this week. This really helped!

@brianmclogan Жыл бұрын

Best of luck!!

@ifeanyichukwu3644 Жыл бұрын

@@brianmclogan Do you have a tip to remember to turn the things negative when subtracting

@Dokutahh 3 жыл бұрын

I got a A+ on my math test thanks to your video. Thank you so much 🙏🏻🙏🏻🙏🏻

@chrissystewart6268 11 ай бұрын

Mr. Brian my goal is get prepared for my GED test I want to keep focus on the math part which I failed. So let's work on my algebra ready to focus. From your videos you taught me what I never learned in school thank you Mr. Brian I appreciated. I was bullied a lot in school while having trouble concentrating ( Teachers was teaching) I'm so happy to be away from Toxic people especially who think they know everything

@lilmust2 Жыл бұрын

thank you for this video makes math so much easier for me

@sleepyguts128 10 ай бұрын

once again he has done better than my professor

@Tomouryu Жыл бұрын

I had forgotten so much of my math. This is a great refresher course. Thank you Brian. 👍👍👍

@Mustangsinfinity Жыл бұрын

Thank you for having these! They are appreciated!!!

@nalyde4901 10 ай бұрын

12 years later, and this guy is still helping me with my math homework

@iamleaf7855 5 ай бұрын

you just saved me hours because i took a jump from middle school to college stuff so I never learned some of this stuff and the course never bothers to show me because most people should already know

@buzzingonthemoon Жыл бұрын

Learning from this video in 2022! Thanks for this.

@474yx 3 жыл бұрын

There are a lot of kind of people in this world. Mr. McLogan is one of the few that are amazing.

@IsabellaC9 2 жыл бұрын

I think you just single handedly saved my algebra grade just with this one video

@EVO-008 3 жыл бұрын

At this point you’re my new math teacher💀

@plaina4628 3 жыл бұрын

Me: long division sucks Long Division of polynomials: allow me to introduce myself

@emeliahannakelada4369 3 жыл бұрын

this is great, I finally know how to do division of polynomials, you're a great teacher! keep up the great work!!!!

@demontaylewis1819 3 жыл бұрын

This was so helpful it refreshed my memory on this thank you so much

@tianaflores6414 4 жыл бұрын

Your the only person on youtube I enjoy watching because you go thru it in such dept an that's saying a lot because math isn't my favorite subject.

@carterxcarter Жыл бұрын

This guy saving me right now

@YorozuyaNeesan2010 10 ай бұрын

Thanks for this. I needed a quick recap in my final semester when the senioritis be hitting hard.

@devanshdevliyal5883 3 жыл бұрын

Thanks from India !

@brianmclogan 3 жыл бұрын

Very welcome!!

@ashimates Жыл бұрын

You have no idea how much this video has helped me. My brain hurt trying to understand it and my teacher goes really fast… now I can actually understand and do my problems!! Thank you so much!!!

@Sultan_A 5 ай бұрын

Very Good, B!

@williamwarren1367 Жыл бұрын

won't lie, never thought I'd be in college trying to remember how to do long division lmao

@abiflores5134 4 жыл бұрын

Thank you so much for your wonderful videos... they literally help me pass my college algebra class... Thank You! I did have a quick question.

@abiflores5134 4 жыл бұрын

Isn't -3x-21x = -24x... not -18x? Or did I do the math wrong?

@abiflores5134 4 жыл бұрын

@meez thank you so much 😊

@LeoMessi-mm9ox Жыл бұрын

never fails to get the point in my head , keep up the good work!!

@brianmclogan 12 жыл бұрын

@Debedeb Hey my videos are not for any age, sex or race! haha I am glad I could help and I hope I may continue to use my videos as an aide!

@katarinaclaireboskovic4719 3 жыл бұрын

you are literally saving my math grade right now

@Turnmeupmar 3 жыл бұрын

This is the best thing I have ever needed in any math class🙏🏾

@jasaih7220 11 ай бұрын

okay this is so much more easier than i thought it was

@tumeloarnat5148 4 жыл бұрын

You are the best🙌👌

@tywild1657 3 жыл бұрын

Thanks so much trying to get in nursing school and math is stopping me but you’re helping me understand it so much better 😊THANKS FOR YOUR HELP

@deathvideogame 10 ай бұрын

THANK you Mr. McLogan

@Trang-po1zj 4 жыл бұрын

using this for the upcoming SAT subject test! thanks for the help!!!

@ryangribs 2 жыл бұрын

Literally watching you while inside of my college lecture because you teach better. Cant believe im paying this professor just so I can sit and watch you instead