Synthetic Division of Polynomials
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- Опубліковано 6 жов 2024
- 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-tuto...
Full-Length Videos and Worksheets:
/ collections
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: ua-cam.com/video/p1lSRAeEMR0/v-deo.html
First
Damn someone beat me
where did you get the 1x that is in your anwser more specificlly why isnt it 1x^2
I love you
@@ShroomJGVqqq
You're literally carrying half of my class, thank you so much
Can you please help explain the zeroes change in the equation
@@belindaplanter2230 equal the denominator to 0 and then do the inver operation to get x= whatever you will get. That I your new denominator
@@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
@@belindaplanter2230if one of the x square or x cube is missing then add 0 to the one who’s missing
Why did he become one X square I don’t get that can you explain that better?
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.
thank you.
super helpful man thank you so much
Tysm❤❤❤❤
you saved a lot time for me! thank you very much
Thank you!
I’m taking college Algebra and I love the way you teach Algebra. It’s straight to the point and easy to understand.
This is you college lesson? Wtf this is my grade 10 lesson 😭
Lucy Kaede damn it’s my 9th grade one
@@lucykaede5863 It's my grade 8 lesson. And apparently a grade 7 and 6 lesson too. DepEd is really forcing us to catch up.
@@moondust2365 Catching up? Nah man this is eating wind already from how advance we are.
@@lucykaede5863 I guess so
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.
like bro really an hour siting in the class for the whole period listening to the teacher explaining maths and synthetic division can’t suffice the time u watch JG explain all of this in 10 minutes and now we understand the hour period in class just ruins your attention span really .But we got JG n he cooked here in this video I mean look at the million views just proves his king😁😭😭💯🔥
When you learn more in a 10 minute video than an hour in class
Night of WOLVES fr
so tru
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.
Same
my teacher just told us to watch this video for our lesson
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me and my three braincells watching this 10 minutes before the test
@@rafav1087 good luck
Fardy Alam I got a 60 rip lol, I should have studied
@@rafav1087 ah shit in my last test I failed so u alright
update: though 5 months late, i am proud to announce that i failed 🥰🥰 goodnite.
SAME
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!
better explanation than my college professor
Ikr, going into m 2nd test really hope I do well since this vid is basically carrying me
@@user-tn1wo4md4n same lol
Bruh Im at highschool rn and were studying advanced math and calculus
PoisonedYT same now i am at grade 7
PoisonedYT some of us are dumb
Nothing better than sleeping through class and learning it at 5 am. Definetly makes more sense from you
who ever invented synthetic division must have been irritated by long division
Definitel! 😂
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.
ua-cam.com/video/uGhM59_hp4I/v-deo.html
See video
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
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Omg same. My teacher will teach it one day only a little bit then next day quiz.
SAMEEE
my teacher: *gives a synthetic division problem*
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organic chemistry tutor: *saves my butt*
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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.
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.
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
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Same lesson tau hahahaha
Hmmm I’m a freshman learning this...
@@retronex8698 stop flexing please
@@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
fucky wucky she said 10th grader...
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.
I cannot explain how helpful your videos are!!! You are extremely clear. I always use your videos when I need help.
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These video makes the Polynomial division.......... A PIECE OF CAKE!
Buying skippered that one
But I skipped that one in my previous one
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Agree
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I know a lot of people have already said this but seriously, thank you.
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80% of my brain can understand
But
20% of my brain cannot understand
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I learnt more Maths from this guy than I did at my school. 🤗
Good examples are beautifully explained for those struggling to understand the concept of synthetic division.
Thanks man. It made me learn the synthetic division in just 10 mins.
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I finally understand how to do this and long division of polynomials now because of TOCT. Thank you very much!
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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❤️
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Thank you i get it a little bit now
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Shout to g10 students who watch this vid for their math lesson
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Very good work! It really cleared up some confusion. Thank you for posting such a helpful video.
this channel helps more with school than all my math related teachers have combined
I’m here because I daydream in class too much 😂😂😂
Thank you!! If only I had this video when I was trying to learn this in class, rather than now when I'm just trying to remember it. Very helpful, and you have a calming voice!
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?
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
I finally understood why you have to put 0 after the number. Arghhh thankyouu you helped me so muuuch :^)
Seriously? Why though?
@@neblann It's a place holder like the 0 in 101
You make it look so simple. It's a lot to remember but I understand. Awesome
YOU ARE AMAZING! DANG! I UNDERSTOOD IT!!!!! THANK YOU SO MUCH!!!!!!!
This guy pretty much solves my problem when it comes to math, And I'm sure I'm not the only one.
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?
i am gonna have an exam next week and i was sleeping during math class so ur vids are sucha good help since i always sleep during math cuz its so complicated
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
Thanks again! These videos have helped me out greatly during my time in learning Algebra 2
Thanks again dude you help us a lot.
this man is the best teacher anyone can ask for.
I appreciate this tutorial. The solving for x will help me more than I can say. However, I do want to point out, the explanation of why to put the 0 in there when an x of nth degree is missing. like x^3 + 2x + 5. Although I already learned why, but thought I'd point out that deeper explanation would help. Or at least a more in depth reasoning behind why you're doing that.
That's because the coefficients of the same degree/order can be added or subtracted
Can you tel me why the fuck they put them zeros when they writing down the numbers that are gonna be divided
@@TheCommandant-wb9tv late reply but still, its because coefficients of terms of different powers cannot be subtracted or added directly.
This video actually explained this in such an amazing way. Much better than my school book.
Sse?
bro comes in clutch 20 minutes before the test 😭
MR. Organic Chemistry Tutor, thank you for an excellent video on Synthetic Division of Polynomials.
This a really helpful video, thanks!
My exam is tomorrow and I'm so grateful that I found your videos. Thank you it's such a great help. Hope I'll pass my exams tomorrow!
Did you pass?
What if the divider don't have a real zero ?
you explained something in 10 minutes that took my teacher 90 minutes to explain. thank you
Thanks mate a lot and the teacher kind confused me seriously.❤️
Saved me. Tomorrow's a 30 mark test on this and some other stuff.
THANK YOU SOOO MUCH!!!!
Me after watching OCT's vids at tests: *THIS IS BIG BRAIN TIME.*
This really helped me lol since I'm at grade 10 and since I was absent on our math class and the professor wouldn't even tell me how to do it. Thank you so much for making this video even though its already 6 years ago. I understood it better than our strict professor lol, I hope this guy is my prof😂
bruh i swear my teacher doesnt even have a highschool degree, ive spent more time on youtube learning this stuff than in her class
THANK YOU 🙏 ❤ I missed this lesson in my class and I have a test tomorrow 😂 I’m a visual learner and your a great explainer THANKS AGAIN!
Funny how I understand this in 3 mins compared to a teacher taking multiple periods to explain how to do this.
This video may be 2 years ago but it helps today now that we are online learning. STAY SAFE YA'LL
True 👌👌