How to divide two polynomials using long division

Рет қаралды 362,955

8 жыл бұрын

👉 Learn how to divide polynomials by quadratic divisors using the long division algorithm. Before dividing a polynomial, it is usually important to arrange the divisor in the descending order of powers of the variable(s). To divide a polynomial by a quadratic divisor using the long division algorithm, we divide the polynomial (dividend) with the quadratic term of the divisor to get a term of the quotient. We will then multiply all the terms of the divisor by the term of the quotient and subtract the result from the dividend. The result is divided again by the quadratic term of the divisor to get another term of the quotient. This process is repeated until the quadratic term of 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 is 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: 311

@christophervandeest4718 5 жыл бұрын

I don't know where you teach but I'd rather use your videos to learn rather than my own teachers. Thank you very much.

@chicofrijole1615 4 жыл бұрын

Ong. My teachers only ever teach it through the calculator cuz we have a super smart calc. But now I have to go to high school and we have a retest on this but idk shit. He’s a lifesaver

@kyledarling7437 3 жыл бұрын

agreed

@TWN-0_7_2_0 Жыл бұрын

Dude, my teacher makes no sense, I rely on videos like this to pass the class

@abirami983 Жыл бұрын

@@TWN-0_7_2_0 my teacher got fired, so i use him all the time while they are hiring a new one 😭😭🤦‍♀️

@jorkkeker8097 5 жыл бұрын

This one man helping 60000 people with their homework

@TBB_Wop 4 жыл бұрын

Jack Kemnitzer *my test while I cheat*😂😂

@ln.6152 4 жыл бұрын

Facts, but now its 139k

@2012Bcam 4 жыл бұрын

143k now

@Sheijii 3 жыл бұрын

its 162k now

@cloakzifyy8545 3 жыл бұрын

@@2012Bcam 166k now

@munamohamad5444 4 жыл бұрын

I wish i was one of your students, you’re a great teacher

@deluxous 3 жыл бұрын

Considering you’re here watching this He is your teacher

@ARD3R 5 жыл бұрын

thank you ! , i learned more in this 15 minute video than i did in my 2.5 hour long community college class

@akakaaaa9254 4 жыл бұрын

@@5ponja I'm learning this in sophomore hs...

@eddieafriye8477 4 жыл бұрын

Coco want a cookie

@reesereynolds7400 4 жыл бұрын

@@akakaaaa9254 same

@st4lkme 4 жыл бұрын

Learning in HS Junior year, and my class is based on pure precision.

@mikuculus3720 4 жыл бұрын

@@akakaaaa9254 LOL I AM LEARNING THIS IN 8th grade

@isabellelove13 5 жыл бұрын

I swear your an amazing math teacher you make this so much more understandable you sir are awesome, thank you!

@brianmclogan 5 жыл бұрын

you are very welcome!

@lzunigao 4 жыл бұрын

I raised my hand when he told me to at 0:00

@vaingloriouscadenza1098 4 жыл бұрын

Each time he keeps asking the students a question I accidentally answer back, 😅😂

@bryanhoffman4331 4 жыл бұрын

I'm learning precalculus by myself via a textbook, and it's really nice to be able to see a lecture on the subject as learning math from text can be confusing. Really appreciate your lessons!

@isabelmartinez_22 7 жыл бұрын

I actually feel like I'm back in high school having my teacher teaching me math hehe. Thanks for these great vids! They've been a big help now that I'm in college and pushing myself to actually understand math better.

@brianmclogan 7 жыл бұрын

good for you, happy to be able to help any way I can

@akakaaaa9254 4 жыл бұрын

@@brianmclogan I AM in high school lmao

@lesnyk255 4 жыл бұрын

I'm a 70-year old retired engineering physicist who was NEVER exposed to this or synthetic division in school. There were times in my career it would have been useful - for integrating rational functions, say - but I always had to resort to arcane u-substitutions and the tables of integrals (Burrington, e.g.) to get there. What a godsend this would have been! It's a cold, rainy day here in New England, so I've been browsing the YT math channels, belatedly filling in holes in my education, and enjoying it immensely. Thanks for doing this!

@Osama-tl9we 4 жыл бұрын

the negative mistake was killing me 😂

@daggynight4438 4 жыл бұрын

Osama Nassef same XD

@toxicking1945 5 жыл бұрын

This man is saving me from my exam tomorrow

@trevorlei4096 5 жыл бұрын

Toxic King same Final in 11 hours for me

@toxicking1945 5 жыл бұрын

Trevor good luck

@trevorlei4096 5 жыл бұрын

@@toxicking1945 i almost ran out of time but my teacher was nice enough to let me and another girl stay in a little longer, man that was the most stressful thing I have ever done in my life. Glad all my finals are done but the algebra 2 one was definitely tough.

@toxicking1945 5 жыл бұрын

Trevor 🙃i got a D on my exam

@kshitizkumar9036 5 жыл бұрын

now for me

@bulletslider6897 4 жыл бұрын

You sir are a life saver. All your videos are gold. You just have a way of breaking down all your problomes to where it is plain English. I appreciate that you take your time with your students, and if someone is stuggling, you explain what to do in a way that makes sense to them. You rock!

@chemseddinemounir 4 жыл бұрын

in lockdown and wouldnt mind having this guy as my yt teacher for a while

@gabrielleforbes1349 Жыл бұрын

8 years later and your videos are still helping students, thank you!!

@EyeGlassTrainofMind 4 жыл бұрын

This is incredibly helpful. Thank you SO much. Due to quarantine, my teacher is just sending us her notes to read from which are kind of difficult for me to learn without seeing the pieces come together and hearing the explanation. After that happens, I can usually interpret the notes really well, but you've saved me from being a fish out of water in my math class! Thank you thank you thank you! :)

@akeemfrederickrolle1117 5 жыл бұрын

You are A blessing. I understand more in your videos than my lecturer. Thank you!!!!

@randhawaheed2720 4 жыл бұрын

This guy is carrying my whole career single handedly. Thank you!

@jackstandal996 2 жыл бұрын

Thank you for the help, 6 years later and youre still helping students grasp what their teachers couldnt teach.

@partIycIoudy 4 жыл бұрын

“Raise your hand if you are having trou-“ Me: *hands shoot straight up*

@retroburden 6 жыл бұрын

God bless you sir. I’m back in college pursuing a different degree this time and it’s been 14 years since I’ve taken math and this is so insanely helpful. Thank you!

@brianmclogan 6 жыл бұрын

you are very welcome! congrats to you for going back!

@joemariabon9175 6 жыл бұрын

so, you're 35

@retroburden 6 жыл бұрын

joemari abon 33

@iismyii5585 4 жыл бұрын

Brian McLogan I have a final exam tomorrow and you just saved my life. Thank you soooo much 🙏🏼

@thegreatestmike90 6 жыл бұрын

"rather than cleaning out your nails"LMAO. Classic.

@brianmclogan 6 жыл бұрын

😀

@ishanchoudhary4179 4 жыл бұрын

Whoever’s was cleaning his reaction Am I joke to you

@burnwolfember729 5 жыл бұрын

Thank you very much, that was extremely informative and caught me up to speed from missing a few classes due to illness.

@jinds2242 6 жыл бұрын

Thanks sir, you're very good at explaining!

@brianmclogan 6 жыл бұрын

happy to be able to help

@shakarabautista3128 3 жыл бұрын

Mr.Brian McLgan you are as good as my last yr. teacher in math like you explain everything and having no shortcuts and I think it's better for some that ain't good at understanding math topics!, you are great!

@HipHopIsLifee 4 жыл бұрын

You don’t know how much you’ve helped me. I left my professors class last week not knowing a single thing about this, and now I understand the entire chapter completely because of your videos.

@brianmclogan 4 жыл бұрын

So happy to be there for you Christian!!

@msmedicated2663 4 жыл бұрын

thank you for all of your videos. You make so much more sense to me than my prof does. I use your videos to help with exams more than I use my own notes

@akarinhassanaynte4321 9 ай бұрын

I took it 10 years ago I watch this video just as a review but you teacher your way of explanation is amazing Thank you for ur helping math lovers.

@missanna208802 5 жыл бұрын

I LOVE YOU! I wish you were my teacher. Thank you SOOO much for uploading these videos. You have no idea how grateful I am for this.

@mashasmelkova8870 5 жыл бұрын

Thank you so much this video helped me get through my homework and its so amazingly thorough!!!

@arch7924 4 жыл бұрын

wow your really good at teaching math. Your the one I go to when I can't understand our math lessons, thank you so much

@ulfen69 6 ай бұрын

Happy new year Mr MacLogan. This lesson filled a lot of gaps in my limited knowledge about long divisions on polynomials. What I have learned before this wasn’t enough to solve much. It just made me confused.

@lisaeckman27 4 жыл бұрын

Thank you for doing this. I couldn’t figure out that part where u said everyone always messes up. Couldn’t figure out why my math teacher was always subtracting

@scienceninja14 4 жыл бұрын

Using this as a refresher for my college calculus course.

@ila3898 Жыл бұрын

I can’t even explain how much this helped me!! I’m watching this at midnight the night before my test and I didn’t understand it at all so thank you so much🙌🙌 You’re a life saver

@brianmclogan Жыл бұрын

So happy to be able to help you out!!

@adrieanna12611 5 жыл бұрын

These videos are so good! Thank you so much for your help. I am a college student struggling to get through math, and I reference your videos every single time I need help. I wish I was in your class LOL. Thanks again!

@brianmclogan 5 жыл бұрын

happy to help you out Adrienna!

@unknownunknwon480 5 жыл бұрын

i swear all maths sirs are either boring af and hard to understand or fun af and easy to understand. its never in the middle. This teacher is def fun

@PaxiKaksi 5 жыл бұрын

maybe in computer science (because math is tought there as well) people usually watch memes AND.... We have a teacher who was aking random values for 4 variables a,b ,c ,d and once he got to "d" said "Can someone give me a " and the entire room exploded laughing.

@newclearmusic152 Жыл бұрын

I remember watching this back in highschool 3 or 4 years ago for a math exam, now Im watching it studying for an exam regarding a degree in aerospace....But it still feels like Ive got an algebra exam tomorrow before I have an off where I hit up the nearest burger king with my mates. A very strange but nice nostalgic feeling

@Eris123451 3 жыл бұрын

I'm just idly revising this stuff, almost just for fun ? This is as clear and as articulate an explanation as I could wish for, thank you.

@sistersquad4991 3 жыл бұрын

THANK YOU SO MUCH SIR YOU TAUGHT ME IN LESS THAN 15 MINUTES WHAT MY TEACHER DIDN'T TEACH ME IN AN HOUR LONG CLASS. i just did one of my homework problems after watching this video AND I GOT IT CORRECT ALL THANKS TO YOU MAN.

@PO_300 4 жыл бұрын

This guy saved me from my quiz next period god bless this man

@alexboughlef1382 5 жыл бұрын

Thanks for the video with the specific example I needed. Integration by partial fractions was tripping me up on this part

@sapphirecentral2240 4 жыл бұрын

such an underrated video....really appreciate this

@luffytarousenchou 3 жыл бұрын

Thank yu very mochi ありがとうございましたあなたは助かる。

@djijspeakerguy4628 5 ай бұрын

This is the problem i needed. I got stuck when I needed that placeholder zero, and this video helped me.

@adaumus 4 жыл бұрын

haha. Love his comment at the end "yes, it took me 14 minutes to go through that!"

@tacoseries7281 4 жыл бұрын

Thanks for doing this- forgot this over spring break

@xXJasmineJadeXx 5 жыл бұрын

Your videos literally save me, thank you!!!

@daniellemarie669 4 жыл бұрын

this video was super helpful, thanks! Also thanks to the students for asking good questions

@kobirkhan7982 2 жыл бұрын

he have great ability to explain every thing very clearly . thank you so much.

@kartie 3 жыл бұрын

thank u for ur work kind sir i’m retaking algebra junior year 😔 and uve been very helpful

@chrs3085 3 жыл бұрын

Thank u so much for posting this to teach us :DD i was having hard time answering some of the givens in my homework because my teacher didnt discuss it clearly :DDD appreciate it so much..

@mercedesgonzales1096 2 жыл бұрын

Wow, never has this made sense until now. The zeros really helped.

@ARM_DM 3 жыл бұрын

Thank you!!! No one else had an example were they had x2 dividing into with x4

@chellyb5735 4 жыл бұрын

After I watched your video, I realized I did my homework incorrectly. I went back and did it over fully understanding it now. Thanks!

@jessica9043 4 жыл бұрын

thanks for this vid! so helpful for college placement exams!

@Finneous101 11 ай бұрын

Great job explaining. This is very clearly done. Thank you so much.

@lucid6652 4 жыл бұрын

oh my god. god bless ur soul. never stop making videos. you're so amazing. thank you so so so so much

@aakashboo2393 4 жыл бұрын

your students are lucky to have you as a teacher.

@kellenbrown1712 4 жыл бұрын

This is literally so helpful, why can’t you be my math teacher

@yungnoodledrip8885 11 ай бұрын

Thank you sir. These videos really help me with my math class.

@Lunar_Official 9 ай бұрын

Using this in 2023 to review before the PSAT, you dropped this king 👑

@mijkwgeblwxz6853 5 жыл бұрын

Thanks boss. My math teacher basically lectures for the entire 2 hours of class plus it’s a morning class so I’m half awake listening to 6ix9ine to encourage my will to stay alive in the class. So basically what I’m trying to say is that his class is boring af, ur videos on the other hand are not

@mohammedabdurrazzaq9715 5 жыл бұрын

Yeah yeah

@mijkwgeblwxz6853 5 жыл бұрын

mohammed abdur razzaq OH yeah yeah

@masonduffy820 2 жыл бұрын

This was so helpful, thank you so much for your great work.

@mlyon1476 5 жыл бұрын

I despise math. This video helped a great deal as you worked through it step by step and even reviewed previously learned steps needed to solve this.

@beequa 4 жыл бұрын

Thank you so much for your awesome explanation. My daughter and I were about to just throw the book 🙂

@lauratuttolomondo888 5 жыл бұрын

You're the best!!!!!!!! Thank you so much!!!!!!!

@hypershadic2673 3 жыл бұрын

I was practicing a bonus question the teacher said would come tomorrow. And at this point, I need all the marks I can get, so thank youuu !

@mollybrown7158 5 жыл бұрын

This was extremely helpful

@ghaaribkhurshid2389 5 жыл бұрын

This helped a lotttttt! Thank You so much!

@anastasiawilford2770 4 жыл бұрын

Great explanation. Thanks so much!

@Myheart19608 8 ай бұрын

What a wonderful teacher 🎉

@pixelatorextreme3359 6 ай бұрын

Not Anthony getting cold called 😂… lol! Thank-you for your videos!!

@bemerosecaroline 3 жыл бұрын

can i use synthetic division while the given divisor is in 2nd degree?

@stitt692 Жыл бұрын

Could the remainder ever be - 4x-4/x^2+1? Or will it always be adding the remainder over the divisor

@Hariomtripathi1507 5 жыл бұрын

5.48 that saved me to correct u otherwise I was going to inform u sir.....😊😊😊

@oliviarogers9617 2 жыл бұрын

thank you, i have finals tomorrow and this helped so much (2022!)

@omeransari6894 2 жыл бұрын

the way you teach is amazing mannnn

@user-dy6dt2tm4n 11 ай бұрын

Wonderful teaching very helpful

@desireeortiz5797 3 жыл бұрын

how would you do this with synthetic division?

@startreck9204 2 жыл бұрын

Thank you! Helped me in Cryptography course (Galois Fields).

@dove4881 6 жыл бұрын

absolute life saver

@brianmclogan 6 жыл бұрын

happy to be able to help!

@GG-eg6kn Жыл бұрын

Thank you so much, my maths teacher goes so fast. You teach at better speed

@satyabanukil779 6 жыл бұрын

Wonderful presentation. However, I shall be obliged if a illustration is given where the divisor starts with 1 like 1--a- x2etc.

@brianmclogan 6 жыл бұрын

not sure I understand

@kay_tv6437 3 жыл бұрын

appreciate this channel soooooo much

@VioletMalama 10 ай бұрын

This helpful sir.Thank you

@dinahfarz3758 11 ай бұрын

Thank you sooo muchh sirr! This is really helping meee❤

@thomasdanielramos281 4 жыл бұрын

my dude will save me from my test 2hour test tommorow please pray for meeee

@danyalayad5268 3 жыл бұрын

been 6yrs and still saving lives

@casualchris67 5 жыл бұрын

This man is probably the reason I'll pass my midterm tmr

@zakriakhan5594 4 жыл бұрын

Thanks Mr. Mclogan

@tobiaschapinda6771 3 жыл бұрын

Using both the long division and the factorial method, divide x-2 into P(x)=x^3-4x^2+5x-1...............kindly help

@axelthagreen2424 5 жыл бұрын

This is more helpful then my teacher

@loloibrahim606 9 ай бұрын

thank you soooooo much , you are the best teacher ❤❤🥺

@elijahkeana.paunil1403 5 жыл бұрын

Can you expand the remainder? Is that possible?

@crunchyblend8809 3 жыл бұрын

Thanks again these videos are so helpful

@esthervirgens783 5 жыл бұрын

Thanks for your videos, I love it

@icydoodle3877 4 жыл бұрын

Can you be my teacher T_T I understand this now

@caitynash6379 Жыл бұрын

what about synthetic? i find its so hard to do it.

@hannahgracebaliza8802 3 жыл бұрын

This really helps me a lot thank you so much

@Kiuraish Жыл бұрын

Best video on this, thank you!!