Synthetic Division of Polynomials

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This precalculus video tutorial provides a basic introduction into synthetic division of polynomials. You can use it to find the quotient and remainder of a division problem with polynomials.
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

Опубликовано:

12 фев 2018

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Комментарии : 1,6 тыс.

@TheOrganicChemistryTutor Год назад

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-p1lSRAeEMR0.html

@2kchallengewith4video Год назад

First

@ShroomJGV Год назад

Damn someone beat me

@vrguy7337 Год назад

where did you get the 1x that is in your anwser more specificlly why isnt it 1x^2

@hatsuki3846 9 месяцев назад

I love you

@crishajannelvaldez903 8 месяцев назад

@@ShroomJGVqqq

@mananite Год назад

You're literally carrying half of my class, thank you so much

@belindaplanter2230 Год назад

Can you please help explain the zeroes change in the equation

@eshwar6969 9 месяцев назад

@@belindaplanter2230 equal the denominator to 0 and then do the inver operation to get x= whatever you will get. That I your new denominator

@nour3660 7 месяцев назад

@@belindaplanter2230 the zeros fill in the gaps in the power/exponent, if you have "x^5+x^3/x-2" then there is a missing x^4 and x^1, x^4 after the x^5, and the x^1 is after the x^2, it is just a game or organizing

@abocado121 6 месяцев назад

@@belindaplanter2230if one of the x square or x cube is missing then add 0 to the one who’s missing

@yanalshrooki7616 2 месяца назад

Why did he become one X square I don’t get that can you explain that better?

@ihaveagunbcuzyes8106 4 года назад

When you learn more in a 10 minute video than an hour in class

@razormixes6413 4 года назад

Night of WOLVES fr

@jessicaespinoza627 4 года назад

so tru

@sabitasahoo5388 4 года назад

Hey if the subject of your studies deals with maths then why have you kept you channel's name organic chemistry. It is a bit funny.

@akmalr5829 4 года назад

Same

@honkykongyyankeewitnobrim6220 3 года назад

my teacher just told us to watch this video for our lesson

@bubonic_plague_arah747 4 года назад

me and my three braincells watching this 10 minutes before the test

@fllama 4 года назад

@@rafav1087 good luck

@rafav1087 4 года назад

Fardy Alam I got a 60 rip lol, I should have studied

@fllama 4 года назад

@@rafav1087 ah shit in my last test I failed so u alright

@bubonic_plague_arah747 4 года назад

update: though 5 months late, i am proud to announce that i failed 🥰🥰 goodnite.

@phoebelin2815 4 года назад

SAME

@jedthei6099 10 месяцев назад

For anyone (like me) who was confused about why he added a zero to the division table at 6:56: It took some time for me to figure this out too as all of the other explinations of this skipped over this part as well. But basically after playing around with a calculator for a while I figured out the pattern. 7x^3+6x-8 Basically you're counting down from the first "power of" which in this equation is x^3, so using this your next number in the equation would need to fufill x^2 and the next x^1. Since this equations skips directly to x^1 as in 6x, we need to add that placeholder 0 to fufill x^2. 6x fufils x^1 as stated above and we also need to fufill x^0 which the -8 actally does. Another example: 4x^5+4x^2+4 Our highest "power of" in this equation is x^5 so we will be counting down from 5, the next term 4x^2 does not fufil this and since it skips both 4 and 3 we will need to add two zeros. at this point our division table should look like this: 4 0 0 4 next we need to fufil x^1 so we add another 0 and the 4 will fufill x^0 so our table should now look like this: 4 0 0 4 0 4 Hopfully this makes sense, it does to me atleast.

@samuelconsuegra1206 10 месяцев назад

thank you.

@woof6485 10 месяцев назад

super helpful man thank you so much

@Zeus-dh2bn 10 месяцев назад

Tysm❤❤❤❤

@qarashuaq 10 месяцев назад

you saved a lot time for me! thank you very much

@timothybtch1714 10 месяцев назад

Thank you!

@BuysAboveAsk 5 лет назад

better explanation than my college professor

@user-tn1wo4md4n 4 года назад

Ikr, going into m 2nd test really hope I do well since this vid is basically carrying me

@cosmo8771 4 года назад

@@user-tn1wo4md4n same lol

@SoraFilms 4 года назад

Bruh Im at highschool rn and were studying advanced math and calculus

@gagamboy3417 4 года назад

PoisonedYT same now i am at grade 7

@friskydinngo 4 года назад

PoisonedYT some of us are dumb

@Lana-or5dz 5 лет назад

I’m taking college Algebra and I love the way you teach Algebra. It’s straight to the point and easy to understand.

@lucykaede5863 4 года назад

This is you college lesson? Wtf this is my grade 10 lesson 😭

@razormixes6413 4 года назад

Lucy Kaede damn it’s my 9th grade one

@moondust2365 4 года назад

@@lucykaede5863 It's my grade 8 lesson. And apparently a grade 7 and 6 lesson too. DepEd is really forcing us to catch up.

@lucykaede5863 4 года назад

@@moondust2365 Catching up? Nah man this is eating wind already from how advance we are.

@moondust2365 4 года назад

@@lucykaede5863 I guess so

@mythomaniac9903 6 месяцев назад

You can literally explain the synthetic division of polynomials better in 2 minutes than my math teachers in the past could in an entire class period. It finally clicked. This channel is a godsend, just discovered it now. Wish I had it a few years back in high school.

@briweenie137 3 года назад

Nothing better than sleeping through class and learning it at 5 am. Definetly makes more sense from you

@Rainjojo 4 года назад

Since my teacher can’t teach I’m watching this 💀

@jacquellawalker633 4 года назад

I just don't Understand my teacher AT ALL, SO I COME HERE 😂

@joshhadwiger9390 3 года назад

FUCKING SAMEEE

@spiffybadger3854 Год назад

Omg same. My teacher will teach it one day only a little bit then next day quiz.

@kingkonglee2103 Год назад

Im so grateful for this kind of channel ,my teacher never taught us in class she just assume we all had learnt it before , youre truly are a lifesaver .

@skunkywild2116 3 года назад

my teacher: *gives a synthetic division problem* me: but you didn't teach me how to do this organic chemistry tutor: *saves my butt*

@sparklingcutie 9 месяцев назад

who ever invented synthetic division must have been irritated by long division

@rexfordluke1480 Месяц назад

Definitel! 😂

@secret636 3 года назад

You're such a life-saver! You teach almost every part of the lesson without taking too much time. Looking forward to watching more of your videos. Thank you, Organic Chemistty Tutor!

@mydogsbutcheek 4 года назад

Want you to know buddy, I am very appreciative of your videos. It isn't just the content, it's they way you make these vids; the way you teach in them. Although for the math vids, it may be easy for me to follow because I took calculus in high school. Now I'm in my freshman year and first semester of college at 26, so it has been a while and I never actually got the college credits for calculus back in high school... now I'm starting back in algebra in college :'(. (though I do have my statistics credits so that's good) The vids I'm most appreciative of is your chemistry vids. That is my one of my intended majors and my teacher doesn't have the best lectures XD. Much love my friend

@scottsmyth1568 2 года назад

Hey feel free to hit me up for Chem help and this guy is god I am thinking about starting my own channel for bio and chem help

@Just_a_random_person13 2 года назад

I think I know how you feel. I mean I was a kindergarten teacher, and they threw toys at me during playtime!!!😡🥺😔

@flexicution2323 Год назад

@@scottsmyth1568 still waiting on them vids bro

@Tom-yh8fj 3 года назад

My math teacher teach us this when we’re at grade 7 in the Philippines and watching this now when I’m at 10th grade feels nostalgic and still gives me heart attacks in my brain

@mikeecarmona7886 2 года назад

omg you are a life saver I was literally freaking out when I missed a math class and couldn't understand the notes that were given but this explained EVERYTHING .

@skylaralison8513 3 года назад

I love when people explain math and make it simple.. wish everyone could do it like that

@Mr.R_KnowsStuff 4 года назад

Thank you so much for your videos. Most teachers rush through all the materials they are "required" to cover whether we learn it or not thank you for actually taking the time to explain slowly and thoughtfully. You, sir, are the best.

@gurucharanseva1248 2 года назад

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-uGhM59_hp4I.html See video

@jessejames1520 2 года назад

These are the best math videos I have ever seen. I love how you explain every detail and point things out so we can follow

@Sky_Gazer1 5 лет назад

These video makes the Polynomial division.......... A PIECE OF CAKE!

@CarlPlays60 2 года назад

Buying skippered that one

@CarlPlays60 2 года назад

But I skipped that one in my previous one

@zenith8824 2 года назад

u r cringe dont type

@frostbyte6251 2 года назад

Agree

@GhostLink92 4 года назад

"I prefer the term artificial separation, myself." Really good stuff. Way better than my professor.

@br8kspider 3 года назад

Actually saved me from being behind for possibly the rest of the quarter. Thank you for explaining this better than my teacher ever could

@anushkasalvi8811 8 месяцев назад

I cant thank you enough for making these videos and explaining them so well. My teacher doesn't really explain the topics well and rushes through it and the way she teaches it is very confusing. For me, if i need to learn something i need someone to simply explain it to me, like the way you do it. You are literally a life saver for making these videos and explaining the concepts so simply i really appreciate it.

@honeydip8541 5 лет назад

Anybody else tired of seeing that study pug ad?💀

@AMLennon 5 лет назад

driving me crazyyyy

@joeli6509 5 лет назад

Yesss

@taggartknutson1640 5 лет назад

"are the videos from 2009 REALLY helping??" YES! YES THEY ARE! lol

@VicRattlehead1980 5 лет назад

@@taggartknutson1640 ...and the best part about them is that they are free unlike study pug

@taggartknutson1640 5 лет назад

@@VicRattlehead1980 ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-CoEgnAuWykE.html > Megadeth (Ozaka 1995) this is by far the best live performance ive stumbled across caught on video. enjoy ;)

@Nemoguzapomnit 6 лет назад

It’s the best solution of that stuff which I ever seen

@smart2733 2 года назад

This is a much more comprehensive explanation than other RU-vid videos I saw, I love it so much

@augustineo.6990 Год назад

The simple way you explain it makes all the difference.

@abegailgarsola2331 4 года назад

80% of my brain can understand But 20% of my brain cannot understand

@2bkssir108 2 года назад

Bro if u Nepali then check theach Nepal

@eagleffgaming7889 4 года назад

I had many doubts regarding synthetic division. By seeing this video it is easy to do these type of problems. Thank you very much sir.

@eva677 7 месяцев назад

THANK YOU. I didnt understand the multiplication, adding, and bringing down part since my teacher was going so fast. but how you explaned it makes it make sense. THANK YOU.

@jordan5688 2 года назад

I dont know why but his voice makes it so much easier to learn

@calypsopendragon5356 5 лет назад

your videos are so helpful for a 10th grader like me

@invok8781 5 лет назад

Same lesson tau hahahaha

@retronex8698 4 года назад

Hmmm I’m a freshman learning this...

@williamhuynh869 4 года назад

@@retronex8698 stop flexing please

@fuckywucky9272 4 года назад

@@retronex8698 I'm a sophomore in college algebra, she might be too. You're probably a freshman in algebra 2 or 1. Not the same thing

@retronex8698 4 года назад

fucky wucky she said 10th grader...

@hossderoest9052 3 года назад

Super duper helpful! Math has always been a struggle, but how you approached teaching this was amazing. Thank you.

@chiken9556 2 года назад

Your videos really helped me study for a test I didn't get notes on because of an absence, thank you!!

@yna418 2 года назад

I know a lot of people have already said this but seriously, thank you.

@ryomensukuna2147 4 года назад

I just realized im trying to understand my professor for about 1:30mins in class and still i can hardly solve any of the problem but when this guy explain 10 mins is enough for me to understand the problem

@fellowbloke741 Год назад

thank you so much I think about stuff in class that distracts me and I end up missing everything the teacher says, thanks for being my backup

@noahmassengill4237 4 года назад

Dude THANK YOU! You are the only one who has actually explained the 0x^2 thing well, you’re a lifesaver

@hidoveconsult7907 Год назад

You are a wonderful teacher you are carrying all your students along. I wish to be able to teach like you. Thanks for your explanations on all the topics I have viewed.

@sarahs2376 4 года назад

I cannot explain how helpful your videos are!!! You are extremely clear. I always use your videos when I need help.

@mysterypsyche4964 9 месяцев назад

I didn't understand it when my math teacher taught this. But now finally I got it because of this video!

@sabrinar.2360 4 года назад

professor been teaching us this for a week straight and i didn’t understand crap. i hop onto this video and i understand it after the first 5 minutes.

@suwilanjisimbule5178 Год назад

You're way better than my math lecturer thank you so much

@PK_Diaspora 3 года назад

Very good work! It really cleared up some confusion. Thank you for posting such a helpful video.

@terryfoster9050 4 года назад

From an Aerospace Engineering Major and Current Helicopter Mechanic of 12yrs! Job well done fam! Clear explanation, clear examples, not skipping steps either.... i can dig it

@yasmeenah691 Год назад

Thank you very much for this wonderful presentation of this idea. I am from Jordan 🇯🇴 and I did not understand this idea at all from my teacher, but in this special way things became easier. Thank you from the heart

@berlonjimenez9690 8 месяцев назад

Shout to g10 students who watch this vid for their math lesson

@kristy_krab_pizza 8 месяцев назад

I’m here because I daydream in class too much 😂😂😂

@saioofbestboi9008 Год назад

THANK YOU SO MUCH, I spent an hour confused on these, but you helped me breeze through these!

@jishafish5691 3 года назад

this man actually deserves a nobel peace prize. videos are so useful and easy to understand

@minsugavs.yoonki8827 4 года назад

You've got a nice a voice. Keep teaching. Badly need it 😂

@sabinayasmin7453 4 года назад

Hey fellow ARMY ✌️ This is my mom’s acc btw so don’t mind the pfp😬

@minsugavs.yoonki8827 4 года назад

Sabina Yasmin hellloooo. Having trouble with math too? 😂😂

@Valizat 3 года назад

his voice sounds like those overwatch pros lol

@zenith8824 2 года назад

ur sus

@tranthamcalhoun3rd432 4 года назад

Dude Omg if I didn't see this video. I would have lost my mind trying to figure this out

@alanjacob1488 4 года назад

Frankly, The concept is very easy but teachers somehow manage to twist it up everytime

@nutterbutter2554 Год назад

These help so much I feel like I have to teach myself all my work and these help so much

@rohaankhan9018 5 месяцев назад

Man, I literally love this guy. NEVER STOP!

@eriknelson2559 4 года назад

Awesome explanation! Think that if someone finds the "sign flip" from the factor (e.g. "x-3") to the coefficient in front of the L-bracket (e.g. "+3") confusing, they could use the original number (e.g. "-3") and simply subtract, as per regular long division of polynomials?

@sunostalgia_9672 5 лет назад

YOU ARE AMAZING! DANG! I UNDERSTOOD IT!!!!! THANK YOU SO MUCH!!!!!!!

@benkd7521 2 года назад

you deserve a award , I have been watching you videos since high school , now I'm in uni and I always come here whenever I'm lost in math or physics

@theyoungbarista6715 Год назад

Thanks again! These videos have helped me out greatly during my time in learning Algebra 2

@kal-elbuhay4721 Год назад

6:44 how do you get the 0x² or how do u know when to add it in the numerator/polynomial?

@stealthcrustyy9487 Год назад

Don’t know if you still need this since your comment is 2 weeks old but, I’m pretty sure it’s to fill the gap between exponents. In the first example he used it in, the exponents went from 7x^3 to 6x so he used a 0x^2 to “fill the gap”. This is what I’m getting from this.

@girumsolomon9113 Год назад

What if the divider don't have a real zero ?

@nizatsongambi5202 2 года назад

Best explanation I've ever heard, you just make everything easy.

@Classicsfrom2023 9 месяцев назад

My dude... without you i would be failing pre calc rn. tysm and keep up the good work. you are the backbone of kids learning math and i hope you get billions more views.

@spinzy5990 3 года назад

This is where I learned how to use the synthetic method. Thank you very much! I have a question, though. What if the divisor has a coefficient of 2 or more?

@zoescarborough6958 4 года назад

oh my gosh, THANK YOU SO MUCH FOR THIS VIDEO YOU SAVED ME

@mohsenakhavan3500 2 года назад

Thank you so much. Deeply Appreciated. you describe synthetic division very clearly with different examples. Please keep make videos !

@trempire7514 2 года назад

One of the greatest RU-vid channel I've ever witnessed!!!!

@jashangill4089 4 года назад

I learnt more Maths from this guy than I did at my school. 🤗

@rizzzzj 5 лет назад

i love how he writes x

@Ravi-pr6fj 3 года назад

this channel helps more with school than all my math related teachers have combined

@stevennunn 3 года назад

This video made it very easy to learn synthetic division, thanks very much. Keep up the good work.

@xaryabhd2816 5 лет назад

Thanks man. It made me learn the synthetic division in just 10 mins.

@jackluck2538 5 лет назад

This a really helpful video, thanks!

@vilspotato8008 4 года назад

Thank you so much for the video! I didn't quite understand that in class though it was thought to us twice. But now it's much easier for me to do it.

@angelinepasigay7524 Год назад

Your vid really did help me so much. I was struggling how to do my problem as I were reviewing for our exam on Sunday and it really help me solving that one by watching this video. Thank you so much❤️

@1800Kickyodoor Год назад

bro comes in clutch 20 minutes before the test 😭

@miraekim7609 5 лет назад

THANK YOU FOR UPLOADING THIS VIDEO! IT REALLY HELPED ME!

@HighwayDrive717 4 года назад

@John Paul G. Atrero next to the x^2

@Ali-uu5pd 3 года назад

@John Paul Atrero did you figure it out please help me

@eyenashfna 3 года назад

Thank you so much for this. i cannot attend my class that day due to sickness and this vid helped me a lot as i will sit for final tomorrow. may god bless you, you deserved the happiness,wealth and good health.

@georgesadler7830 2 года назад

MR. Organic Chemistry Tutor, thank you for an excellent video on Synthetic Division of Polynomials.

@atlantice2659 5 лет назад

I finally understood why you have to put 0 after the number. Arghhh thankyouu you helped me so muuuch :^)

@neblann 4 года назад

Seriously? Why though?

@moondust2365 4 года назад

@@neblann It's a place holder like the 0 in 101

@franckmakosso926 5 лет назад

Thanks again dude you help us a lot.

@simply_nebulous 2 месяца назад

My exam is tomorrow morning and this was the only topic confusing me. Thank you 🙏 You're the best.

@classycrock 3 года назад

THANK YOU SO MUCH FOR THIS!! I have a midterm exam tomorrow and I've been trying to figure this out for awhile!!!!!

@ericanickerson9819 5 лет назад

I have finals coming up and this was VERY helpful!!!!

@V-oe9cu 3 года назад

It has been 2 years how are you right now?

@somerandomstranger1786 2 года назад

6:36 when and what are the conditions that need to be present to use 0x²?

@sufiserious798 2 года назад

When you see that a degree of x that should have been present in the continuation is missing, for example an x² should lie in between 7x³ + 6x, if it isn't there then you can go ahead by putting a 0x² in the middle and thus also using it as one of the coefficients while performing synthetic division.

@wubblyjubbly 2 года назад

I fail to understand how this will contribute to my life outside of school but I appreciate this video, way better then an hour in my class

@makalar1643 3 года назад

I finally understand how to do this and long division of polynomials now because of TOCT. Thank you very much!

@rongalivasatha4385 9 месяцев назад

Everyone : he explaied very well in 10 mins than a 2hours class in our school❤❤ Meanwhile me : watching with a lot of concentration ...... Also me : me and my last 3 braincells watching it 20mins before my final test 😂😂😂😂😂😂😂 By the way loved ur explanation ❤❤❤❤ tq so much

@bigtoaster9125 3 года назад

bruh i swear my teacher doesnt even have a highschool degree, ive spent more time on youtube learning this stuff than in her class

@marthabarker8048 2 года назад

As a retired math teacher who needs a review in order to tutor, this series is great!

@mhonthungovung7122 3 года назад

OMG the best of the best , the way you explain and solve everybody could able to understand easily. Thank you so much for uploading this examples of synthetic division . Love from India ....🌹❤️

@xasha_seraphim Год назад

Thank you i get it a little bit now

@mariolorenzobernardo3278 6 лет назад

Finally! Thank you so much sir.

@user-jl6rc2vf6z 4 месяца назад

you're the great lecture who teach all grades I have ever seen

@ernykwame4285 3 года назад

Mr Aderiye if ur reading this i just want u to kno that this man taught me more in 10 min than you could in 1 week

@Abm_100 5 лет назад

Thanks mate a lot and the teacher kind confused me seriously.❤️

@misa4807 4 года назад

8:00 where did you get the 0 after 7????

@thebegottenwarrior3956 3 года назад

10 minutes before deadline havent learned synthetic by my module but by you. Thank you for people like you man :DD (especially that if thing about the x - 3 to just flip it my mind couldnt process it but you just made me realize it thanks again :DD)