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 Sitting through an hour-long math class on synthetic division just doesn’t hit the same as watching JG explain it in 10 minutes 😭. His video makes everything clear, and now that I get it, I realize the long class just kills my attention span 💀. JG really delivered in this one - the millions of views speak for themselves 🔥💯.
@@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
I'm almost 80 yrs. old & have taken only 1 dumbbell math class in high school, & I caught onto this immediately and was able to teach my 11 year-old son in 1 lesson. You are fantastic, JG; truly remarkable.
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.
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 .
In my class, I had fallen behind due to illness. My professor makes us videos so we can see the problems done at our own pace, but I couldn't understand this very well. I'm so glad that I found your video. I have my final today and feel better equipped. Thank you for your service and good luck to anyone watching to study for exams.
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!
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.
omg you are a life saver I was literally freaking out when I missed a math class and couldn't understand the notes that were given but this explained EVERYTHING .
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
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
I just realized im trying to understand my professor for about 1:30mins in class and still i can hardly solve any of the problem but when this guy explain 10 mins is enough for me to understand the problem
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.
My dude... without you i would be failing pre calc rn. tysm and keep up the good work. you are the backbone of kids learning math and i hope you get billions more views.
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
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.
For people who don't understand when you need to add zeros, It's whenever there is a missing x. For example: x^3+x+2 Notice how there is no x^2? In order for the equation to work, you need to add in a 0x^2. Then you divide. I came to this video because I didn't understand the zeros in class. But figured it out while watching the video. I recommend comparing the equations in the video. Here are the time stamps for comparison: 8:406:214:143:05
@@VicRattlehead1980 ruclips.net/video/CoEgnAuWykE/видео.html > Megadeth (Ozaka 1995) this is by far the best live performance ive stumbled across caught on video. enjoy ;)
Thank you so much for this. i cannot attend my class that day due to sickness and this vid helped me a lot as i will sit for final tomorrow. may god bless you, you deserved the happiness,wealth and good health.
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
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?
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.
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, thank you, thank you sooo much...2+hrs of trying to learn Polynomials Synthetic Division. and this video just knocked it out for me, had to type this thank you!!
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.
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
![I.N "HALLUCINATION" | [Stray Kids : SKZ-PLAYER]](http://i.ytimg.com/vi/n5B5q1Hwt_U/mqdefault.jpg)
Algebra - Free Formula Sheets: bit.ly/3CBeZMY
Polynomials - More Lessons: www.video-tutor.net/algebra.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 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 Sitting through an hour-long math class on synthetic division just doesn’t hit the same as watching JG explain it in 10 minutes 😭. His video makes everything clear, and now that I get it, I realize the long class just kills my attention span 💀. JG really delivered in this one - the millions of views speak for themselves 🔥💯.
Bro fr this vid helped me more than my teachers💀
I am in school
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?
I'm almost 80 yrs. old & have taken only 1 dumbbell math class in high school, & I caught onto this immediately and was able to teach my 11 year-old son in 1 lesson. You are fantastic, JG; truly remarkable.
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
Nothing better than sleeping through class and learning it at 5 am. Definetly makes more sense from you
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
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 .
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
better explanation than my college professor
Ikr, going into m 2nd test really hope I do well since this vid is basically carrying me
@@MosasaurCatcher 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
In my class, I had fallen behind due to illness. My professor makes us videos so we can see the problems done at our own pace, but I couldn't understand this very well. I'm so glad that I found your video. I have my final today and feel better equipped. Thank you for your service and good luck to anyone watching to study for exams.
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!
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.
ruclips.net/video/uGhM59_hp4I/видео.html
See video
I WAS ABSENT AND I WATCHED THIS BC MY TEACHER DOESNT BELIEVE IN POSTING THE NOTES ON SCHOOLOGY AND U HELPED ME!!! ty organic chem tutor!!
omg you are a life saver I was literally freaking out when I missed a math class and couldn't understand the notes that were given but this explained EVERYTHING .
This is why I’m here too!
Mr Aderiye if ur reading this i just want u to kno that this man taught me more in 10 min than you could in 1 week
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
Hey feel free to hit me up for Chem help and this guy is god I am thinking about starting my own channel for bio and chem help
I think I know how you feel. I mean I was a kindergarten teacher, and they threw toys at me during playtime!!!😡🥺😔
@@scottsmyth1568 still waiting on them vids bro
Sometimes RUclips videos explain math better than just sitting in class not knowing what to do
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.
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
Actually saved me from being behind for possibly the rest of the quarter. Thank you for explaining this better than my teacher ever could
I dont know why but his voice makes it so much easier to learn
my teacher: *gives a synthetic division problem*
me: but you didn't teach me how to do this
organic chemistry tutor: *saves my butt*
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 just realized im trying to understand my professor for about 1:30mins in class and still i can hardly solve any of the problem but when this guy explain 10 mins is enough for me to understand the problem
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.
I know a lot of people have already said this but seriously, thank you.
Since my teacher can’t teach I’m watching this 💀
I just don't Understand my teacher AT ALL, SO I COME HERE 😂
FUCKING SAMEEE
Omg same. My teacher will teach it one day only a little bit then next day quiz.
SAMEEE
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.
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.
This is a much more comprehensive explanation than other RUclips videos I saw, I love it so much
Your videos really helped me study for a test I didn't get notes on because of an absence, thank you!!
My dude... without you i would be failing pre calc rn. tysm and keep up the good work. you are the backbone of kids learning math and i hope you get billions more views.
The simple way you explain it makes all the difference.
There are a few people who use RUclips efficiently and you are one of them. I am always your fan , keep it up!!!
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...
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
this man actually deserves a nobel peace prize. videos are so useful and easy to understand
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
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
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.
It’s the best solution of that stuff which I ever seen
For people who don't understand when you need to add zeros, It's whenever there is a missing x.
For example:
x^3+x+2
Notice how there is no x^2?
In order for the equation to work, you need to add in a 0x^2. Then you divide.
I came to this video because I didn't understand the zeros in class. But figured it out while watching the video. I recommend comparing the equations in the video.
Here are the time stamps for comparison: 8:40 6:21 4:14 3:05
thank you oh my god!!! i was so confused why we needed to add that
@@ken_5 glad i could help
I LOVE U STRANGER
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 didn't understand it when my math teacher taught this. But now finally I got it because of this video!
Anybody else tired of seeing that study pug ad?💀
driving me crazyyyy
Yesss
"are the videos from 2009 REALLY helping??" YES! YES THEY ARE! lol
@@taggartknutson1640 ...and the best part about them is that they are free unlike study pug
@@VicRattlehead1980 ruclips.net/video/CoEgnAuWykE/видео.html > Megadeth (Ozaka 1995) this is by far the best live performance ive stumbled across caught on video. enjoy ;)
Thank you so much for this. i cannot attend my class that day due to sickness and this vid helped me a lot as i will sit for final tomorrow. may god bless you, you deserved the happiness,wealth and good health.
80% of my brain can understand
But
20% of my brain cannot understand
Bro if u Nepali then check theach Nepal
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
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?
2 minutes in and i already know more than i learned in 1 hour of class in school
I cannot explain how helpful your videos are!!! You are extremely clear. I always use your videos when I need help.
bro explained what my teacher took 1h 30min to explain in 5min
You're way better than my math lecturer thank you so much
this channel helps more with school than all my math related teachers have combined
You've got a nice a voice. Keep teaching. Badly need it 😂
Hey fellow ARMY ✌️
This is my mom’s acc btw so don’t mind the pfp😬
Sabina Yasmin hellloooo. Having trouble with math too? 😂😂
his voice sounds like those overwatch pros lol
ur sus
My exam is tomorrow morning and this was the only topic confusing me. Thank you 🙏 You're the best.
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?
As a retired math teacher who needs a review in order to tutor, this series is great!
Super duper helpful! Math has always been a struggle, but how you approached teaching this was amazing. Thank you.
Thank you dude i learned it faster than school tbh i dont hate it but yours is much easier to understand
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
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 learnt more Maths from this guy than I did at my school. 🤗
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❤️
Thanks man. It made me learn the synthetic division in just 10 mins.
THANK YOU SO MUCH, I spent an hour confused on these, but you helped me breeze through these!
Shout to g10 students who watch this vid for their math lesson
One of the greatest RUclips channel I've ever witnessed!!!!
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?
Wooww this guy’s tutorial are really helpful 🎉
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.
you explained something in 10 minutes that took my teacher 90 minutes to explain. thank you
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
I learned more in 2 minutes watching this video than 45 minutes of class
I’m here because I daydream in class too much 😂😂😂
this man is the best teacher anyone can ask for.
oh my gosh, THANK YOU SO MUCH FOR THIS VIDEO YOU SAVED ME
Please kindly call yourself the universal teacher. This guy is a genius
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, thank you, thank you sooo much...2+hrs of trying to learn Polynomials Synthetic Division. and this video just knocked it out for me, had to type this thank you!!
Very good work! It really cleared up some confusion. Thank you for posting such a helpful video.
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
This video may be 2 years ago but it helps today now that we are online learning. STAY SAFE YA'LL
True 👌👌
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.
you're the great lecture who teach all grades I have ever seen
Thank you i get it a little bit now
I finally understand how to do this and long division of polynomials now because of TOCT. Thank you very much!
where did the 2 zeros come from? when do I know when to use them? and why did the 7 get an X in 9:37
Saved me. Tomorrow's a 30 mark test on this and some other stuff.
THANK YOU SOOO MUCH!!!!
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
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 😭
he said thank you for watching, NO thank you for creating a youtube channel and thank you for teaching us!
What if the divider don't have a real zero ?
This is a better explanation, thank you