Polynomials - Adding, Subtracting, Multiplying and Dividing Algebraic Expressions
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- Опубликовано: 5 сен 2024
- 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-tuto...
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
this 11minute video has taught me so much more than my math teacher has taught me in 2 weeks.
this is actually 17 minutes.
I fucking agree. This video taught me more than my Math teacher for the last 3 months.
foxsaid20 no it’s actually 17:52
Did she teach you numbers? Haha I’m joking we all make mistakes 😂
GAGE BALDERAS i
You're not dumb if u dont understand it at school
This guy is just a better teacher
I think I might graduate university by watching this dude's video instead of my lecturer. Not likely, but might.
@@a_very_burnt_steak if you combine the lecture’s with his videos you more likely pass it depends on your score o. Tests idk how college works
@@Manicthecreator The tests are ridiculously easy. That's all I can tell. They're made so you can pass (if you fail the lecturer will be questioned)
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.
ME TOO
same :(
Lmao don't be scared to ask.
That's what School is for lol.
I know how you feel
True
His voice is just calming af, i frickin learned alot from him.. compare it to my math teacher, JG definitely wont lose.
One thing do you know what "AF" even means?
@@chloeplayz3398 as fuck? Yeah, welcome to gen z
@@lyramorales2020 lmaooo
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
yah right..
He pretty great it help me alot he videos from a high school hool studemt
youre a literal life saver, i cant understand anything on this new online school stuff.
Same dude so confusing
Bro same
I keep getting distracted
same because the teachers just explain stuff and make it look confusing
@@arse-chan7694hey pretty lady!
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
Thank you so much👏
@@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.
14:31 Dude this division is wrong, just go do the verification, its wrong
@@peter-jb yeah. the only explanation is that this guy is smarter than the calculator lol
@@peter-jb I was so confused! do you know the right answers?
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!!:)
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
I know right. This COVID had done so much,, so much😫
same
im grade 7
Ure in collage doing this damn I’m in 10th grade
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
why is this so true
Facts tho
Is fax
facts
Trueeeee
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
Good for you!
its practically 8 mins
@@diothepotato7711 Urm??
@@AzureUnlinked I dont know why I said that
Your voice is so calming and understandable. Thank you!
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.
What
Love your name!
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!
so i dont understand lol
Agreed thanks for the help
King Luka in You're copying me
King Luka
Thanks
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.
THANKS I MIGHT NOT FAIL MY MIDTERMS NOW
Aight so there was only 3 questions that I knew how to do.....
good job
Congrats
same
It’s alright, you at least tried dude
R.I.P.
To the legends who are watching this just before exam👇
Ahahaha
One on one learning is just more and much better than a whole class
Its basically free tutor online!
✋
Lol I'm watching this in my 1st period before my algebra test in 2nd rn LOL 30 minutes till my eoc😅
Regents actually
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
BRO THANK YOU IM WATCHING THIS AT 2AM AND HAVE A TEST LATER THIS IS SO CLEAR COMPARED TO WHAT MY TEACHER TAUGHT ME!!!!
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😅
omg this is whats happening to me rn LMAO
did you pass?
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.
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 .
Taking my GED math test this coming Monday! Wishing you all luck as well!
None of your business @Bina
Opethian
What's the answers to the math test?
Im qualified for mtap im highschool thanks
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.
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.
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😭
Same
My teacher speaking magic and this guy speaking facts 🙏
😂😂
I’m Semi, I stay automatic/ money add then multiply, I call it mathemathematics
I see that u r cultured as well
mathe-mathematics?
@Xd Anarchist u look hot in your profile pic dad.
*where's mommy?*
Hey! I am Sami 🤣
I agree with everyone here, you made math easier. Thank you very much and God bless you.
❤ God bless
Ikr
This 17 minute taught Me more than what my teacher teaches in a MONTH!
THANK YOU U SO MUCH!
Any body from 2024😂😂😂
Sadly yes 💀
Yope 😂
I have to learn 8th grade before going to 8th grade :(
Here 😂😂😂
You mean in right?
That 2x²-x+6/x-2. What is the final answer. The next question after that you simplified further. Why?
Yeah me too. I got confused there's no final answer with that example.
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 !
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
Most people watching this are at college while I just graduated from elementary
stay strong in middle school, and make every second count
@@kwamedamuah1838 I second kwame. Middle school can be fun, but it’s also more difficult than elementary. Stay strong brother.
most people watching this are at college while I'm just a fetus
We're same bruhh I'm just grade 7 hihi
im in 7th grade advanced math so we are doing 8th grade math rn
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.
OMG, I literally learned more in this video than what my teacher taught me, thank you
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
Ready for my test tomorrow, THANKS YOU SO MUCH!!!!!!
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?".
Literally every comment about solving math: this video taught me well that my math teacher
This is a hundred times better than the rest of the videos youtube showed me..
THANK YOU
Algebra was the only chapter I was confused in.
I guess I'll be getting above 90% again!
He is the best teacher because if we don't understand something we can repeat video again.
THANK YOU. I actually did my homework because a 17-minute youtube video taught better than my teacher over the course of 5 hours.
thank you! as i'm preparing for my accuplacer your videos have been great to review!
This helps me so much because I have a math exam tmr and im stressing out- Tysm dude your like a faceless tutor
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!
Omg, this is sooo much easier to understand then when my teacher went over it in class. Thank you!
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
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 .
Not only is the math channel amazing, the voice behind all these videos is lovely. So calming😌 against a subject like MATH💀
I am an 11 year old boy but I'm really interested in algebra, science and robotics the video was great😀😀😀
It's been a pretty long time since this video was posted but I ot still helped me a lot
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.
You made everything more easier & I am feeling like someone is sitting infront of me and explaining me 😊
Today is my prelim, and because of this vid I can finally answer surely my exam. thanks to you bro!
this guy and my math teacher are two whole different breeds
Ngl you’re the only reason I’m passing math this year 💀
I've passed my math exam. Mr. JG, thank you, thank you!
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😁😁
RUclips is the secret to passing any math class I swear without it I would be LOST
Dis dude is really helping me in my exam
This video just summerized everything that my math teacher took a month to teach my class, appreciate it.
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!
Hi!
@oolpersonn Hi!
Mathematic Gold right here! Praise be the lord I finally found a video that explains why and how the signs change in multinomial equations or when subtracting trinomials! Thank you!
this man may be an organic chemistry tutor, but damn can he teach algebra.
I didn't pay attention during online school, so here I am looking for help from RUclips and have gotten my help, thanks :)
This method for mulriplying is great! My math book just told us to use long multiplication , but they dont explain properly
Long multiplication? How would you use that to solve this???
this video is very helpful for students...thanking you.
Man you are awesome!! I forgot all about polynomial and in ten mins I remembered everything because of you. Your tha man
Test abt this tmrw and all I needed to do was watch this vid...
This guy makes learning math easier for me. He's a good tutor.
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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"
Tiktok
Cringe
@@raichumasterkyle7503 who tf cares about what you say
Why your name is lil pogchamp? just kidding XD
cringe
What this video has taught me is more than 6 years of what my teachers had been teaching me. This Guy makes math seem easy
Thank you and God Bless you Brother 💕
my teacher was trying to teach this to the class in math Ext 1 I had no idea what she was saying (bunch of gibberish) I watched this video and it all made sense to me I realised how easy it is.
This is what i called "the subtitle of chinese movie"
ha ha
im so confused
Wooow this 11 minutes changed my life, u made it so easy, thank u, I now luv polynomials 🌹
I struggle with the division but I understand, adding, subtracting, multiplying.
thanks a bunch dude, you’ve taught me more than my teacher has in the past month
This video helped me so much ! Alhamdullilah !
Alhumdulillah
Tysm!!!!! This is such a good explanation! I could finally understand after watching this. I swear idk how our teachers at school became teachers, they always have the worst explanations 💀.
I need to know this for my math finals so thank you!
Graduated in 2010 and this is great for someone looking to get into et or bme but on a higher scale 🔥💯
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?
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"
This guy is the beat math help ever. Thank you so much for these great videos 👍
Who's here in 2024?
Your voice is so calming and understandable teacher explaining for about an hour
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
I was about to tell you how was it done then i saw your update comment 😂😂😂😂
Thank you The Organic Chemistry Tutor for helping me with adding, subtraction, multiplying and dividing polynomial algebraic expressions.
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
Elocin mi what grade u in?
jesus christ this guy just saved me
im gonna... watch all of this when i get to it, wow! you guys weren't kidding.
Great video! Explained Adding, Subtracting, Multiplying, and Dividing Algebraic Expressions very well and the video was well put out. Keep it up!
Omg I don't know what mogic you used but the phrase you just said was to combine like terms was mind-blowing to where I got it thank you
I got a stroke reading this because of mogic
edit: I always keep editing my comment to avoid it being deleted
10:02
Hey when you multiply two x you must have an x power 2
-5x•6x= -30x power 2
your right (he corrected himself later on)
-5x•6x= -30x² ?
@@ZDXNeru yeah, its like -5 x 6 x X x X= 30 x X squared = -30x squared
Your vedios are helping me I learned in high school and help me
Thanks
Im doing an algebra review before pre-calculus and this is saving my life!
Hello, I hope you will reply to this. At 11:29, I noticed that instead of subtracting -12x2 with -30x2, you proceeded to subtract -12x2 with 14x2, before adding -30x2, is there a reason for this?
its just the same answer even you solve -12ײ -30ײ = -42ײ
then -42ײ + 14ײ = -28ײ
i am you r biggest fan sir because you are the best teacher in the world and i am not an adult , i am a kid