Synthetic Division of Polynomials
ฝัง
- เผยแพร่เมื่อ 28 ส.ค. 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: th-cam.com/video/p1lSRAeEMR0/w-d-xo.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?
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
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
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
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
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!
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.
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! 😂
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 .
my teacher: *gives a synthetic division problem*
me: but you didn't teach me how to do this
organic chemistry tutor: *saves my butt*
Since my teacher can’t teach I’m watching this 💀
I just don't Understand my teacher AT ALL, SO I COME HERE 😂
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Omg same. My teacher will teach it one day only a little bit then next day quiz.
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!
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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@@scottsmyth1568 still waiting on them vids bro
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th-cam.com/video/uGhM59_hp4I/w-d-xo.html
See video
I love when people explain math and make it simple.. wish everyone could do it like that
"I prefer the term artificial separation, myself."
Really good stuff. Way better than my professor.
Actually saved me from being behind for possibly the rest of the quarter. Thank you for explaining this better than my teacher ever could
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
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
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.
80% of my brain can understand
But
20% of my brain cannot understand
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I dont know why but his voice makes it so much easier to learn
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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.
your videos are so helpful for a 10th grader like me
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...
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
These video makes the Polynomial division.......... A PIECE OF CAKE!
Buying skippered that one
But I skipped that one in my previous one
u r cringe dont type
Agree
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.
The simple way you explain it makes all the difference.
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.
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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
I’m here because I daydream in class too much 😂😂😂
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.
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
What if the divider don't have a real zero ?
this channel helps more with school than all my math related teachers have combined
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you explained something in 10 minutes that took my teacher 90 minutes to explain. thank you
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ur sus
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
Dude Omg if I didn't see this video. I would have lost my mind trying to figure this out
Frankly, The concept is very easy but teachers somehow manage to twist it up everytime
My exam is tomorrow morning and this was the only topic confusing me. Thank you 🙏 You're the best.
bro comes in clutch 20 minutes before the test 😭
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Thanks man. It made me learn the synthetic division in just 10 mins.
This guy pretty much solves my problem when it comes to math, And I'm sure I'm not the only one.
6:44 how do you get the 0x² or how do u know when to add it in the numerator/polynomial?
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.
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
Super duper helpful! Math has always been a struggle, but how you approached teaching this was amazing. Thank you.
These help so much I feel like I have to teach myself all my work and these help so much
i love how he writes x
THANK YOU SO MUCH, I spent an hour confused on these, but you helped me breeze through these!
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
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?
6:36 when and what are the conditions that need to be present to use 0x²?
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.
my teacher really isn't all that bad at teaching I just liked playing video games better, so I watched this right on the day an 18 problem assignment is due, so I know how to start it and finish it up.
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
This video actually explained this in such an amazing way. Much better than my school book.
Sse?
oh my gosh, THANK YOU SO MUCH FOR THIS VIDEO YOU SAVED ME
this man is the best teacher anyone can ask for.
bruh i swear my teacher doesnt even have a highschool degree, ive spent more time on youtube learning this stuff than in her class
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?
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❤️
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?
you're the great lecture who teach all grades I have ever seen
Very good work! It really cleared up some confusion. Thank you for posting such a helpful video.
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True 👌👌
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.
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i will look at the board in my math class as my teacher rambles for over an hour, then i will come here and learn it all in 2 minutes
Funny how I understand this in 3 mins compared to a teacher taking multiple periods to explain how to do this.
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I dont hate my teacher or anything, but this guy explains it so much better than my 11th grade alg 2 teacher
8:00 where did you get the 0 after 7????
got a test that will make or break my grade tmr, thank you so much for this.
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Why don't they teach this in highschool?!
I finally understand how to do this and long division of polynomials now because of TOCT. Thank you very much!
The fact that my teachers taught me using my native language but i still dont get it, but i watched this in english and i got it.
its weird
Saved me. Tomorrow's a 30 mark test on this and some other stuff.
THANK YOU SOOO MUCH!!!!
Thanks again dude you help us a lot.