Remainder Theorem and Synthetic Division of Polynomials

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This precalculus video tutorial provides a basic introduction into the remainder theorem and how to apply it using the synthetic division of polynomials. It explains how to evaluate a function using synthetic division. The value of the function is equal to the remainder when f(x) is divided by a linear factor. This video contains plenty of examples and practice problems on the remainder theorem and synthetic division.
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 : 410

@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-B3bWbon_5WY.html

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@portraitofablueavatar114 3 года назад

Bruh my fvkin teacher gave us modules, and put activities without any examples to fricking base on

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@moiponepoho 4 года назад

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@zippymallows4743 3 года назад

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@Eizzen_ 3 года назад

I learned a lot for 10 minutes instead of that 30 minutes study

@patrickngo9292 5 лет назад

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@melophile8569 Год назад

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@notsenura Месяц назад

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@mikeycates4989 3 года назад

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@renznoble7689 2 года назад

Everything in this channel really helps a lot bcz right now students are self learning which is pretty hard specially at math

@georgesadler7830 2 года назад

MR. Organic Chemistry Tutor, thank you for analyzing and explaining the Remainder Theorem and Synthetic Division of Polynomials. These are useful tools in all levels of science and engineering.

@user-gp2sf7kx2g 5 месяцев назад

Thank you, I now understand the remainder theorem and synthetic division of polynomials.

@aeisharodriguez1567 3 года назад

Seeing how he add the numbers in his head opened new opportunities for me👌🏼👌🏼🙏🏼🙏🏼😄

@kevinhernandez7974 5 лет назад

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@cwillywonka2 Год назад

Thank you for teaching everyone that watches your vids

@AlphaDavid66 3 года назад

Khan and OCT should drop the hottest studyguide of 2021

@user-mr3wf3xy4t 4 года назад

I'm just advance studying since I'm being grade 10 next school year, and it was said that this was one of their lessons. I tried to make fun of the equations and made my own equations and still, f(c) and tbe remainder is ALWAYS the same, which I was so amazed how accurate this theorem is. Thanks!

@jbwoy5615 3 года назад

How does he take 0 as a coefficient of X?

@krislegends 2 года назад

@@jbwoy5615 because all terms of an equation has a power, from lowest to highest. Then if one term is missing, then the variable of that power must have a coefficient of 0, which when multiplied by zero equals zero. In math, anything equal to zero is not included.

@grazelyn7063 2 года назад

i love your profile picture hahaha!

@zeenatkazi721 2 года назад

I never knew it was this easy ! Thank you for making us understand :)

@user-yy3xd4vl8s 2 года назад

On the second question why did they add zero

@lexipalmieri7358 2 года назад

@@user-yy3xd4vl8s because the exponents need to go in descending order for synthetic (and long division w/ polynomials) to work. I can’t remember example 2, but another example would be 3x^4 - 2x^2 + 4x - 5. There is no x^3 in that polynomial, but technically there is a 0x^3 (since zero times anything is zero, it doesn’t change its value) so you would just put a 0 in between the 3 and -2 (in this random example I made up) when dividing. Hope this helped

@felicienf2807 2 года назад

I seriously love you very much.... I almost had a stroke trying to figure this out in class, you made it so easy THANK YOU!!

@y.rodriguez4867 Год назад

It’s been 5 years - and this man is still saving lifes.

@notsenura Месяц назад

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@InfiniteKamoi 9 месяцев назад

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@doierry772 Год назад

THANK YOU!!!! I couldn't understand this from the teachers explanation so this was really helpful

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@Pole_Gabitano910 Год назад

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@lilahjohnson8411 3 года назад

Omg I am so amazed!!! This would have taken me ALL day to listen to lessons on my online school course and I comprehended all of this in 10 mins. Thank You!!!

@blep295 3 года назад

hi idk if u can see this but at 8:33 they added two zeros and I'm lost can u please explain why they added the two zeros even though it had x^2/xsquired since they explained at 5:15 we add zero because it doesn't have x^2/xsquired

@ssinistershorts 3 года назад

@@blep295 heyy idk if you still need help but imma help you, alright so the equation has 2x^4 and then 3x^2 then 30 which has no x, in such situations you have to add numbers to replace the missing power, in this case it a number with a power of 3 and a power of 1. when u add the non existing powers you always have to add them as 0x^n where 0 is constant and n is the power missing. if the equation had a number with the power of 5 but no number with the power of 4 then you will have to add 0x^4. so the equation in the end (the one in the video) would look like: 2x^4 + 0x^3 - 3x^2 - 0x + 30 (notice that you dont write the number 1 when the number is to the power of 1) hope this explained c: if you still need help you can reply and ill be sure to help you.

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@jackwilson7018 5 лет назад

Wait the original expression had, - 12, not 12

@raid2654 4 года назад

I might be late but it became postive because +24 - 12 is +12

@ohsweetea 4 года назад

@@raid2654 he meant the original expression. it was positive 12.

@azyle2104 4 года назад

Fuck I see it now , lemme see if I can find out why 2:46

@azyle2104 4 года назад

Wait he did correct that at 3:20

@Chrisymcmb 4 года назад

@@azyle2104 Yea he did

@literatureandgaming-yt9352 Год назад

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@CHRF-55457 9 месяцев назад

wow... wasnt expecting to understand the Fact Remainder Theorem within 3 minutes of watching this video... your a life saver.

@Multi-stan_girly 7 месяцев назад

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@dawitergichofanta7093 3 года назад

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my math test is literally tomorrow and in 10 minutes you explained it better than our teacher that had like 2 months

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your videos are the best understandable because of your accent it is flowing like butter

@JOSESJONAH-gx4dc Месяц назад

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@lorisunico1073 3 года назад

Thank you! I have been having a hard time understanding Math since we don't usually have the classes

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Thank you its a big help for us especially for those students who chose modular

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@unruly_ronin 8 месяцев назад

Nicely done mate . Thank you

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@nooblogs2408 3 года назад

i hope this man have a good health and more topics in this channel

@Giankurl 5 месяцев назад

At first, the concept of remainder theorem was very complicated for me, but through this help full tutorial, I managed to understand it better. thank you very much

@notsenura Месяц назад

Your PFP is gorgeous

@mondo15 5 лет назад

This is so helpful. thank you

@abdulazisamito9833 7 месяцев назад

Its been 5 year ago and this video still help a student like me ❤🥰

@sticktotheplan9591 3 года назад

Thank you, now I understand how to use synthetic division

@mrs6053 4 года назад

This guy crushes Khan...very clear and not annoying...color change not needed...perfect pacing

@markocampo1783 6 лет назад

Thanks on video and godbless!:)

@Multi-stan_girly 7 месяцев назад

Thansk for this info . My lecturer was making remainder Theorem so complicated

@davisgaming69 Год назад

Thank you I really needed help on my homework

@renaewilliams3618 3 года назад

Like damn these videos be helping me a lot...i use to fail but now I'm on my way to an A

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Thankyou for the video😊👍

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Thank you It's really help me

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Man youre helping me so much for study thanks man appreciated

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Ty !!! Vids are awesome!

@makahiyajay 2 года назад

your amazing after you explained it I said, "that's it!?," I swear I be overthinking Math thanks for your help definitely subscribing

@adrianarcher418 3 года назад

I learned from this video so Quickly

@atharvarora1879 9 месяцев назад

thank you so much you teach so good .

@kaur2478 3 года назад

Ur voice is so calming omll

@Aqsaa-ru3xo 4 года назад

Thanks so much I understand really better you explain so good

@amanooz8668 4 месяца назад

never failed to help, thanks alot

@unanpangandaman9894 3 года назад

I am helping out a friend for her assignments so that brimgs me here to review remainder theorem. It was explained throughly and thank you for that. May I just take time to appreciate the speaker. He did such good explanation. And can I say that he has so sexy and hot voice lol 😂

@lancezylernevero5297 2 года назад

Thank you very much sir!!!

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thanks for the video

@melon0637 3 года назад

The difference between this and my teacher is that my teacher is either covering the board or her voice inaudible and her explanation is confusing. Well at least a year ago when it wasn't online class. It's mostly self-study now.