Polynomials - Adding, Subtracting, Multiplying and Dividing Algebraic Expressions

Подписаться 8 млн

Просмотров 2,3 млн

50% 1

This algebra video tutorial explains how to simplify algebraic expressions by adding and subtracting polynomials. It shows you how to distribute constants to polynomial expressions and how to add and subtract / combine like terms to simplify the polynomial expression. It also contains examples multiplying and dividing polynomial expressions. it explains how to multiply two binomials, a binomial with a trinomial and two trinomials together. In addition, this video contains a few practice problems of dividing polynomials by factoring & canceling, using long division and synthetic division.
Full-Length Math & Science Videos:
/ collections
___________________________________
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/

Опубликовано:

9 янв 2017

Ссылка:

Скачать:

Готовим ссылку...

Добавить в:

Мой плейлист

Посмотреть позже

Комментарии : 1,5 тыс.

@TheOrganicChemistryTutor 6 месяцев назад

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

@capsule-sw3le 5 лет назад

this 11minute video has taught me so much more than my math teacher has taught me in 2 weeks.

@sabastiangriffin6679 5 лет назад

this is actually 17 minutes.

@itsCece 5 лет назад

I fucking agree. This video taught me more than my Math teacher for the last 3 months.

@Typaos 5 лет назад

foxsaid20 no it’s actually 17:52

@JustinYsMum 5 лет назад

Did she teach you numbers? Haha I’m joking we all make mistakes 😂

@audreylizzete 5 лет назад

GAGE BALDERAS i

@itzkirml 4 года назад

Math is actually kind of fun if you know what you're doing. I just feel so stupid if I ask too many questions in class, like I feel like my teacher is getting annoyed.

@hwanghyunjin-skzclown0_0 3 года назад

ME TOO

@nyahoranghae 3 года назад

same :(

@pleasedont7439 3 года назад

Lmao don't be scared to ask. That's what School is for lol.

@kwamedamuah1838 3 года назад

I know how you feel

@Luna-sv7nu 3 года назад

True

@taptaption 4 месяца назад

You're not dumb if u dont understand it at school This guy is just a better teacher

@PlsStandBy 2 года назад

Timestamps :) Adding- 0:00 Subtracting- 1:07 Numbers in front- 3:50 Multiplying positive expressions FOIL method- 5:20 Multiplying squared binomials- 6:12 Binomial x trinomial- 7:05 Trinomial x trinomial- 9:07 Dividing polynomials- 12:03

@justarandompotterhead71 2 года назад

Thank you so much👏

@PlsStandBy 2 года назад

@@justarandompotterhead71 you're welcome! pretty random, but seeing that your username is "just a random potter head", I feel inclined to ask you what your house is haha.

@peter-jb Год назад

14:31 Dude this division is wrong, just go do the verification, its wrong

@PlsStandBy Год назад

@@peter-jb yeah. the only explanation is that this guy is smarter than the calculator lol

@ghoulishtunes6846 Год назад

@@peter-jb I was so confused! do you know the right answers?

@dange7582 3 года назад

youre a literal life saver, i cant understand anything on this new online school stuff.

@enjei8903 3 года назад

Same dude so confusing

@KiratiRaiii 3 года назад

Bro same

@nutcrackerreal100 3 года назад

I keep getting distracted

@arse-chan7694 3 года назад

same because the teachers just explain stuff and make it look confusing

@ZDTF 14 дней назад

@@arse-chan7694hey pretty lady!

@hrxqw 3 года назад

His voice is just calming af, i frickin learned alot from him.. compare it to my math teacher, JG definitely wont lose.

@chloeplayz3398 2 года назад

One thing do you know what "AF" even means?

@lyramorales2020 2 года назад

@@chloeplayz3398 as fuck? Yeah, welcome to gen z

@yourlocalbiscuitdealer8963 2 года назад

@@lyramorales2020 lmaooo

@mikmak9532 3 года назад

now with covid and all my classes in college are online, most of my instructors don't know how to teach online. So it has turned into self taught classes. your videos have helped me learn and understand so much better then my instructors that i pay to teach lol. thank you for your helpful videos!!:)

@randomhuman1198 3 года назад

my teachers suck at online stuff and now im the only one online bc everyone else went back-so im alone while the signal cuts out every two seconds and im trying to pay attention but i cant

@rosette_renah 3 года назад

I know right. This COVID had done so much,, so much😫

@basharabulfath3525 3 года назад

same

@mariateresalargo3593 3 года назад

im grade 7

@makynahuff825 3 года назад

Ure in collage doing this damn I’m in 10th grade

@gabrielravina6258 3 года назад

Let's face it, we are all here because we can't understand what our math teacher taught us, yet this random video teaches us everything

@sofiego8870 3 года назад

why is this so true

@shadowkatgd7069 3 года назад

Facts tho

@KiratiRaiii 3 года назад

Is fax

@arse-chan7694 3 года назад

facts

@anandkvedantham 2 года назад

Trueeeee

@hghlndr2 6 лет назад

Your voice is so calming and understandable. Thank you!

@kurtcoe2502 3 года назад

I am a father to two boys and the eldest was struggling with another video tutorial system officially used by his school. I can tell you hands down these tutorials are clear concise well explained with great legible graphics. I will be recommending these to every parentI know who is facing the same challenge. What a great Tutor. Thank you

@carterjunior1261 Год назад

yah right..

@yourtubersdanceteam 8 месяцев назад

He pretty great it help me alot he videos from a high school hool studemt

@declanstanley1083 4 месяца назад

To the legends who are watching this just before exam👇

@paralos223 3 месяца назад

Ahahaha

@initialgd9113 3 месяца назад

One on one learning is just more and much better than a whole class Its basically free tutor online!

@captanios1 Месяц назад

✋

@TheSauceyGod Месяц назад

Lol I'm watching this in my 1st period before my algebra test in 2nd rn LOL 30 minutes till my eoc😅

@Lvrt_Terminator Месяц назад

Regents actually

@BeanGangTingle 5 лет назад

THANKS I MIGHT NOT FAIL MY MIDTERMS NOW Aight so there was only 3 questions that I knew how to do.....

@matoze5288 5 лет назад

good job

@AnimeScriptMe 5 лет назад

Congrats

@nonspecificnonsense6780 5 лет назад

same

@ricecake2565 4 года назад

It’s alright, you at least tried dude

@kaijukarchner8885 4 года назад

R.I.P.

@monky6520 3 года назад

i just want to say thank you. i have finals tomorrow, and i was deathly afraid because i didnt understand anything. this video has taught me more in 17 minutes than school has this entire quarter. you explain things so simply, and for that, thanks

@euan4441 2 года назад

Good for you!

@diothepotato7711 2 года назад

its practically 8 mins

@AzureUnlinked Год назад

@@diothepotato7711 Urm??

@diothepotato7711 Год назад

@@AzureUnlinked I dont know why I said that

@mitaya 7 лет назад

Thank you! I haven't done math in nearly 3 years and I decided to go to college finally. Your videos are helping me remember everything I learned in highschool and help me do my homework!

@aryuantiwhite1924 6 лет назад

so i dont understand lol

@SL8408 6 лет назад

Agreed thanks for the help

@nailal214 6 лет назад

King Luka in You're copying me

@nicolecampbell3561 6 лет назад

King Luka

@nicolecampbell3561 6 лет назад

Thanks

@dustinturner1757 3 года назад

Without making a long story to long brain damage took a lifetime of mathematical studies. Your videos in particular are literally bringing back years at a time in chunks milliseconds at a time. Very well put all around. Thanks.

@anahudson5908 2 года назад

What

@ashleykathryn9038 Год назад

Love your name!

@CherryEthereal Год назад

I love how you show us the method to answering addition expression and then give us a subtracting expression. you are really a math professor

@Opethianaut 6 лет назад

Taking my GED math test this coming Monday! Wishing you all luck as well!

@conorevans6532 5 лет назад

None of your business @Bina

@studyhabits3395 5 лет назад

Opethian What's the answers to the math test?

@drqn3820 4 года назад

Im qualified for mtap im highschool thanks

@hojiakbarsirojiddinov3838 7 лет назад

I find your tutorials absolutely efficient and diverse and for the most part apply to your channel in search of help or total understanding of the topics. . Still couldnt figure out why your efforts remain underestimated.

@bundsman Год назад

BRO THANK YOU IM WATCHING THIS AT 2AM AND HAVE A TEST LATER THIS IS SO CLEAR COMPARED TO WHAT MY TEACHER TAUGHT ME!!!!

@lilgabbyp7616 5 лет назад

I’m Semi, I stay automatic/ money add then multiply, I call it mathemathematics

@Dante.sparda 4 года назад

I see that u r cultured as well

@canadianbutt2759 4 года назад

mathe-mathematics?

@morningmoonofficial6864 3 года назад

@Xd Anarchist u look hot in your profile pic dad.

@xyannzel 3 года назад

*where's mommy?*

@unauthroizedhomosapien3863 3 года назад

Hey! I am Sami 🤣

@mrshrp1621 Год назад

I struggle with my brain , so math is hard for me on different levels . But once i see outline it easy but sometimes it can be a struggle for me , Even if I understand what in front of me . Thank you for helping me learn , understand or refresh my brain . You have help me over my fall spring course so much . Wish it wasn't so hard for me , dis like thought of retaking my math class and be able to move forward but only way I can get into course I want in my community college trade school .

@annawany Год назад

Honestly Im a 7th grader in Alegbra H and Math is hard when your stressed out with all the old kids. The Organic Chemistry Tutor literally makes life so easy.

@mayofastora1615 2 года назад

My teacher speaking magic and this guy speaking facts 🙏

@hayoy Год назад

😂😂

@Haizou Год назад

Omg thank you I was procrastinating so hard until the last night before my math exam tomorrow but after watching and making examples to fully understand it,I’m now feeling like I could pass😅

@kiyoko2277 Год назад

omg this is whats happening to me rn LMAO

@isabellanelson5039 11 месяцев назад

did you pass?

@cassalynnvictoria1496 6 лет назад

Thaaaaaank you! I’m about to take an accuplacer for college in a few days and I have always struggled with simplifying polynomial expressions. Here I am 6 years later and I finally get it hahaha. This was very helpful.

@rayofsunshineb5347 2 года назад

I am about to take an accuplacer in two days and am freaking out about not really knowing this. This comment made me feel a little better even if it was three years ago😭

@gustavogomez7331 2 года назад

Same

@syedjafri1386 Год назад

This 17 minute taught Me more than what my teacher teaches in a MONTH! THANK YOU U SO MUCH!

@justemi47 3 года назад

Most people watching this are at college while I just graduated from elementary

@kwamedamuah1838 3 года назад

stay strong in middle school, and make every second count

@user-ot3tu1yb2j 3 года назад

@@kwamedamuah1838 I second kwame. Middle school can be fun, but it’s also more difficult than elementary. Stay strong brother.

@marcusvinicius-yo4ii 3 года назад

most people watching this are at college while I'm just a fetus

@mongji0878 3 года назад

We're same bruhh I'm just grade 7 hihi

@mitbot3000 3 года назад

im in 7th grade advanced math so we are doing 8th grade math rn

@MarreroBuilt 3 года назад

If I would have watched this video I would be so much further in college. I haven't been in school for 7 years and this simplified it very well. Thank you

@georgesadler7830 2 года назад

MR. Organic Chemistry Tutor, thank you for an excellent video/lecture on Adding, Subtracting, Multiplying and Dividing Polynomials in College Algebra. This topic is simple to follow and understand from start to finish.

@HP-fj2mi 4 года назад

I agree with everyone here, you made math easier. Thank you very much and God bless you.

@supercoolpersonn 8 месяцев назад

❤ God bless

@Yourmom-gn3jv 3 месяца назад

Ikr

@stephenhilario5817 3 года назад

OMG, I literally learned more in this video than what my teacher taught me, thank you

@dillanjohnson6797 3 года назад

Ready for my test tomorrow, THANKS YOU SO MUCH!!!!!!

@stephanieguzman1797 3 года назад

Thank you so much! I finally understand how to do these problems after having a substitute teacher for the whole algebra 2 course. Wished you were my actually teacher !

@zeiadaly55 3 года назад

U don’t know how much u helped me I have a math exam in a few hours it’s 6:00am for me and I been studying with u all night for all my included lessons

@hottiemage7063 3 года назад

Literally every comment about solving math: this video taught me well that my math teacher

@cauliflowerrrr 2 года назад

Thank you! This video really helped me a lot lol. I've been reading the review paper my teacher gave us last last week over Christmas break and decided to give up since it was difficult for me to understand and now tomorrow's the deadline and I'm still here rushing worth 3 weeks tasks of math. This helped me understand better.

@Jr-uu7zz 3 года назад

Actually this video has helped me a lot . My teacher have been teaching me about two years ago and still i haven't understood from 'em , But thankfully I decided to check on this video and it really helped me today. Keep shinning .

@markaki7337 5 лет назад

Wooow this 11 minutes changed my life, u made it so easy, thank u, I now luv polynomials 🌹

@riatag1740 21 день назад

This guy makes learning math easier for me. He's a good tutor.

@stephenjunior6281 2 года назад

THANK YOU. I actually did my homework because a 17-minute youtube video taught better than my teacher over the course of 5 hours.

@aradhyasaxena832 4 года назад

THANK YOU Algebra was the only chapter I was confused in. I guess I'll be getting above 90% again!

@bizztopper 4 года назад

Man you are awesome!! I forgot all about polynomial and in ten mins I remembered everything because of you. Your tha man

@dankmids 3 года назад

This is what my textbook uses as example problems. This is why I haven't learned anything... Factor each expression. (a) 3x^2 - 6x (ez-pz) (b) 8x^4y^2 + 6x^3y^3 - 2xy^4 (wtf) Thank you for being a real human and explaining thoroughly step-by-step.

@agap3804 3 года назад

This helps me so much because I have a math exam tmr and im stressing out- Tysm dude your like a faceless tutor

@rhandelljaybelo3995 5 лет назад

Thank you and God Bless you Brother 💕

@latinprinze 2 года назад

Im doing an algebra review before pre-calculus and this is saving my life!

@winsvadlit1074 2 года назад

This is a hundred times better than the rest of the videos youtube showed me..

@JC-cr8wo 6 лет назад

thank you sir, this helps me recall my passed lesson, thank you!

@santiagojemtito1426 5 лет назад

Today is my prelim, and because of this vid I can finally answer surely my exam. thanks to you bro!

@1975coucou Год назад

thank you! as i'm preparing for my accuplacer your videos have been great to review!

@BensDieselServices 2 года назад

This guy is the beat math help ever. Thank you so much for these great videos 👍

@awemanyfit 3 года назад

That 2x²-x+6/x-2. What is the final answer. The next question after that you simplified further. Why?

@anamaebade8952 2 года назад

Yeah me too. I got confused there's no final answer with that example.

@dianadelgado8499 6 лет назад

Thanks this really helped me for my test ❤️

@thelastpopeyeschickensandw2227 9 месяцев назад

I really want to just thank you bro. I value competitive education but sometimes, really only with new math, i just fail to understand. Those times, the weekend before, i need to pick shit up real quick, and so far *you* have showed me how easy it was all along, how fun it is. Thank you. Sometimes all i need is a calm fellow simply telling me "easy, right?".

@alexandriamullett1390 2 года назад

My practice math ged test said I need to work on polynomials and this video made it finally click. I am hoping to get a college ready score as I would like to get into college next fall. Plus his voice is calming and makes listening so much easier

@amadolabao9325 4 года назад

Dis dude is really helping me in my exam

@wonder8958 4 года назад

This might save me from being dropped off a lower section but this changes everything I've learn so much tysm hope u make more videos about math😁😁

@user-zl5jr1gd1k 5 месяцев назад

Thanks! Your video is so helpful!

@harbourviewtt 4 года назад

thanks for taking the time to show your lessons most appreciated

@antonioguinoo 4 года назад

This method for mulriplying is great! My math book just told us to use long multiplication , but they dont explain properly

@myeesarutledge2601 6 лет назад

This video helped me so much ! Alhamdullilah !

@KaifKhan-bk6bo 5 лет назад

Alhumdulillah

@AddisChess16985 4 года назад

I've never seen a teacher like you keep it up!!!!!!

@laxmishersiyaqueen2735 2 года назад

Your voice is so calming and understandable teacher explaining for about an hour

@sandrasevilla1963 6 лет назад

This is really helpful, thanks! :)

@user-bean55 5 лет назад

I need to know this for my math finals so thank you!

@yeezychannel 2 месяца назад

This video just summerized everything that my math teacher took a month to teach my class, appreciate it.

@firdowsabdulrehman2176 2 года назад

Dude you're literally a life saver!!!! I have exam tmorrow and I literally had no idea about polynomials and stuff and then boom you came up and saved me thank you sooo muchh lots of love 💜

@mandipowell2418 6 лет назад

Omg, this is sooo much easier to understand then when my teacher went over it in class. Thank you!

@sir1u281 3 года назад

Ngl you’re the only reason I’m passing math this year 💀

@geobeta1351 4 года назад

Organic chemistry tutor is the best!

@Sashkaar 22 дня назад

He is the best teacher because if we don't understand something we can repeat video again.

@charlz9530 4 года назад

This is what i called "the subtitle of chinese movie"

@naveensundar4765 4 года назад

ha ha

@randomhuman1198 3 года назад

im so confused

@reyanmohammed9360 Год назад

I am an 11 year old boy but I'm really interested in algebra, science and robotics the video was great😀😀😀

@devinsparkman6688 4 года назад

Very good at explaining advanced functions. I'm starting to get the hang of things!

@Phil_Cam 5 лет назад

Thank you so much! This helped me with my revision.

@farahchauhan8436 4 года назад

Test abt this tmrw and all I needed to do was watch this vid...

@JustMike2132 2 года назад

this man may be an organic chemistry tutor, but damn can he teach algebra.

@johnmichaelperey7806 5 лет назад

Thanks for making it more easier to understand.

@Incepter. Год назад

Thank you The Organic Chemistry Tutor for helping me with adding, subtraction, multiplying and dividing polynomial algebraic expressions.

@james8ballpool665 6 лет назад

Helping a lot thankxxx

@TheOrganicChemistryTutor 6 лет назад

You're welcome

@hawkins5236 3 года назад

Thank you, you helped me pass the ASVAB!!

@freecss9330 Год назад

tysm, this help me get a good mark on my math test, i watched this video the day before my math test and I got a 80!

@elocinmi 6 лет назад

Oh mygosh i love your vids you really saved my head. New subscriber here.. love your work your vids are a lot of help especially to us students god bless and keep up the good work! Love it

@jakepauljakepaul-cz6up 6 лет назад

Elocin mi what grade u in?

@leahw.1244 5 лет назад

Thank you so much! You are truly awesome! I've always been fairly good with Algebra, but this year my Algebra 2 teacher does not explain anything. Your video just saved me the stress of begging my friends to teach me. 😂 Thanks again! Your videos are awesome! Keep them up!

@supercoolpersonn 8 месяцев назад

Hi!

@LanceChua9743 4 месяца назад

@oolpersonn Hi!

@hiya2587 3 года назад

I love this guy for this it explains everything to me

@Josephagoodman2008 Год назад

This video was a life saver!!!

@lilpogchamp4904 3 года назад

"Did you know that we are made of atoms? And atoms never really touch each other. And since we're made of atoms we didn't really touch each other In our whole entire life So to answer question officer No I did not punch that kid"

@clouds7435 3 года назад

Tiktok

@sushizx301 3 года назад

Cringe

@clouds7435 3 года назад

@@raichumasterkyle7503 who tf cares about what you say

@kevinduliesco5468 3 года назад

Why your name is lil pogchamp? just kidding XD

@supsuo9563 3 года назад

cringe

@TheOnlyA9eel 3 года назад

10:02 Hey when you multiply two x you must have an x power 2 -5x•6x= -30x power 2

@washu2434 3 года назад

your right (he corrected himself later on)

@ZDXNeru 3 года назад

-5x•6x= -30x² ?

@parthshankar4773 2 года назад

@@ZDXNeru yeah, its like -5 x 6 x X x X= 30 x X squared = -30x squared

@deremyaviles 3 года назад

It's been a pretty long time since this video was posted but I ot still helped me a lot

@cameloogabooga Год назад

grateful this channel exists rn 🙏

@ramizabet1663 3 года назад

Great video! Explained Adding, Subtracting, Multiplying, and Dividing Algebraic Expressions very well and the video was well put out. Keep it up!

@chosen6338 2 года назад

I struggle with the division but I understand, adding, subtracting, multiplying.

@avajade8386 2 года назад

thanks a bunch dude, you’ve taught me more than my teacher has in the past month

@swagisbroke6501 4 года назад

Best teacher I ever had

@dandellimon2072 2 года назад

The video is very well explained, love it But I'm confused of how sometimes he adds numbers or subtract numbers, I would appreciate it if someone explains it to me :) That is the only part I'm confused of but the rest I understand Edit: Ohh wait I get it now

@reighantagapolot2018 2 года назад

I was about to tell you how was it done then i saw your update comment 😂😂😂😂

@mplaysxd1335 3 года назад

Thanks

@willsimms4 2 года назад

Thank you so much! I was overthinking this way too much and now it’s so simple..

@danipriti6953 2 года назад

This was the best explanation I could ever find

@xiaoliliu6301 2 года назад

Thank you so much for the video, however, could you factor the 2x^-X+6? because , it does not work if you multiple (3X+6)with (x-2). I tried to factor this , but got confused. because it got to either 2X(X+1)-3(X-2), if there is no common terms, how do we proceed?

@emersonmartinez7492 Год назад

Yeah, It's not incorrect, it's incomplete. You have to keep going and multiply 3 by x-2, do the operations and you have a remainder of 12, so your answer would be "2x+3+12/x-2"