Most math teachers just teach math as a set of steps/processes. They don't actually teach the mathematical logic/concepts behind what students are learning. When students lack foundational knowledge, they aren't able to figure out these things on their own. As for Synthetic Division, I don't care for it, I would rather use an area model or long polynomial division -- things I actually understand.
I sometimes struggle to remember how to properly use ruffini's rule without getting something wrong - I think the "cubo di binomio" (a+b)³=(a³+3a²b+3ab²+b³) would have been easier to do here on the numerator
I am from Italy, and calling it the ruffini rule instead of division is already a mistake as you can t grasp the concept properly, plus they never teach you to divide for and x-a where a is not a solution which sometimes can be usefull as well
Thank you Master! These shorts are really productive , time saving and cool at the same time for someone like me in their learning phase and preparing for competitive exams And I really appreciate the efforts you put into this. Please continue your work
Love these! Before it’s all over, I am going to formally enroll and complete all the mathematics I struggled with as a young person. This is so inspiring and enlightening. Thank you for producing these shorts, please keep it up!
I want to thank you! This is the quickest and simplest way this has been explained. I've gone through so many 10 minute videos that are extremely confusing. Your video is the only one I actually understood and was by far the shortest. Again, Thank You so much!
A concept that I thought would be hard to relearn after months of not touching it was reexplained to me in less than a minute. Thank you for your great work.
Don’t worry, I’ve gotten A’s in multiple Calc classes and literally study math for fun, but I CAN NOT do synthetic division… something about it just breaks my mind
@@Emily-fm7pt Don't worry, I had to use the normal method to see why this works. I don't get why you would go through the effort of memorising this algorithm and take the risk of missing an exception, instead of just performing the normal polynomial division...
@@Emily-fm7pt when you divide a polinomial by one of its roots, the resultant polinimial is one of leaser degree, because the polinomial higher degree show the ammount of roots the polinomal have (real and/or imaginary roots)
I’ve been trying to find this type of video for a while bc idk how to get the final answer of my problem but now I do!, Thanks so much (your a lifesaver!)
It's actually called the Horner method 😊. Very useful for factoring. In general, a good way to get the first root of the polynomial is to search an "evident root" . Here it was 3, so we were able to proceed with Horner's method.
Our calculus professor came to us one day all excited because he had just learned synthetic division and he wanted to show us all for partial fraction decomp for Taylor Series. The whole class was wow'ed by something so simple.
@@manjulasingh5669 He deliberately gave an example that would come out evenly with no remainder. And in fact, this example is a perfect cube, where your method would work. It ultimately reduces to (x - 3)^3. In general, it wouldn't always work that way, even if you were given a denominator that divided with no remainder.
I have been wanting to ask this for a long time ever since i was in 7th grade, it was about a math problem that was shown in this clip. It was at this moment i came across the same problem that i was curious about back in 7th grade, now that i watched the clip over and over again, i can finally say i dont understand shit.
This is amazing; even though I don’t know why x-3 can be zero, especially it is a denominator; I was taught the denominator cannot be a zero, yet it is so cool to learn a new way like this. In the past I just thought it would be like (x-3)^3, so the answer is (x-3)^2.
pareil dénominateur =0 interdit de plus ne comprenant pas l'anglais et ne pouvant pas traduire les sous titre sur les "short" ...ne ne comprend strictement rien a ce qu'il veut démontrer
The last time I needed to do this was an exam in algebra 2 back in high school. I have since taken a boatload of college level math courses, and if you ever ask me to divide a polynomial, I'm gonna whip out MATLAB. Such a useless skill to learn.
I had several classes in calculus .This is the first time I ever saw this .I am like what the hell ? I absolutely don’t t Remember doing that in Algebra 2 or in College Algebra
![Why you didn't learn tetration in school[Tetration]](http://i.ytimg.com/vi/Ea1_1aVfwl4/mqdefault.jpg)
Wow this was much easier, it’s been awhile since I did this for trig / precal days. This is nice. Thanks for the refresher!
Thank you. I appreciate the comment.
😢🙏
@@mrhtutoring thankyou sir❤️❤️
Why do we take x-3=0
Power of asian math teacher 🔥
Math with chalk is special
u and i are special
@@abocado121 some daqui playboy
@@abocado121 XDD
Makes me forget how much I miss math classes
Same
😂
said no one ever
it cuz u have negative brain cells@@ardengrey7
are u gay
in italy this is the ruffini's rule and I dont get why most of my classmates find it so confusing, i think it's brilliant!
Im from latin america and its also known as Ruffini,
why does it work?
Most math teachers just teach math as a set of steps/processes. They don't actually teach the mathematical logic/concepts behind what students are learning. When students lack foundational knowledge, they aren't able to figure out these things on their own. As for Synthetic Division, I don't care for it, I would rather use an area model or long polynomial division -- things I actually understand.
I sometimes struggle to remember how to properly use ruffini's rule without getting something wrong - I think the "cubo di binomio" (a+b)³=(a³+3a²b+3ab²+b³)
would have been easier to do here on the numerator
I am from Italy, and calling it the ruffini rule instead of division is already a mistake as you can t grasp the concept properly, plus they never teach you to divide for and x-a where a is not a solution which sometimes can be usefull as well
That's damn cool!
We were taught long division and it's a pain
Long division is easier in my opinion
Long division is extra time and steps
That's why it is called 'Long Division'.
Wow I like this better than what my teacher taught me!!
Where was this guy when I was studying for the ACT. I actually enjoy these videos and have learned quite a few tricks
Thank you Master! These shorts are really productive , time saving and cool at the same time for someone like me in their learning phase and preparing for competitive exams And I really appreciate the efforts you put into this. Please continue your work
I glad to hear that you enjoy and learn from the videos. Thank you.
Horner's method for polynomial
Ruffinis Method
Easy method of division actually
Love these! Before it’s all over, I am going to formally enroll and complete all the mathematics I struggled with as a young person.
This is so inspiring and enlightening. Thank you for producing these shorts, please keep it up!
Thank you for the encouragement!
Yes, Cardon method is good to solve cubic polynomial fast...
Thanks
@@mrhtutoring sir,,,,
Can u suggest me how to do fast calculation in arithmetic section.....
The numerator is simply (x-3)^3. So it follows that the division can be reduced to (x-3)^2 = x^2 -6x+9.
@Athan WONG it's right! (A-B)^3 = +A^3-(A^2)B+A(B^2)-B^3.
I want to thank you! This is the quickest and simplest way this has been explained. I've gone through so many 10 minute videos that are extremely confusing. Your video is the only one I actually understood and was by far the shortest. Again, Thank You so much!
Glad it helped!
Thank you so much. I stared a summer course today and the second there was something that wasn’t covered I searched for your channel
Happy to hear my channel helps.
A very nice way! Thanks for sharing! :)
That is horner's synthetic division method
Isn't this called Ruffini's method?
A concept that I thought would be hard to relearn after months of not touching it was reexplained to me in less than a minute. Thank you for your great work.
i didn't understand really, but i trust you
Don’t worry, I’ve gotten A’s in multiple Calc classes and literally study math for fun, but I CAN NOT do synthetic division… something about it just breaks my mind
@@Emily-fm7pt Don't worry, I had to use the normal method to see why this works. I don't get why you would go through the effort of memorising this algorithm and take the risk of missing an exception, instead of just performing the normal polynomial division...
@@Emily-fm7pt when you divide a polinomial by one of its roots, the resultant polinimial is one of leaser degree, because the polinomial higher degree show the ammount of roots the polinomal have (real and/or imaginary roots)
Phenomenal. You make it seem so easy.
I LOVE SYNTHETIC DIVISION IT'S SO USEFUL!
I’ve been trying to find this type of video for a while bc idk how to get the final answer of my problem but now I do!, Thanks so much (your a lifesaver!)
Never thought this would be this simple
Thanks soo much I just solved my lil neighbours question using this!❤
It's actually called the Horner method 😊. Very useful for factoring. In general, a good way to get the first root of the polynomial is to search an "evident root" . Here it was 3, so we were able to proceed with Horner's method.
In some.countries, mostly south america, spain and italy at least, is known as Ruffini's method
Back in the days, professors wouldn't accept that way
So lovely falling in love with maths once again
Well, I’d not remove the x’s as my class 10 learners would ask where in the world were they when I was solving the “numbers” 😭
Our calculus professor came to us one day all excited because he had just learned synthetic division and he wanted to show us all for partial fraction decomp for Taylor Series. The whole class was wow'ed by something so simple.
You use partial fraction decomposition for Taylor Series?
In Brazil we call it the Briot-Ruffini method
Synthetic division is extremely useful, thank you for covering this!
I love synthetic division. I'm learning calculus and damn it makes life so much easier
i can't understand why he just used the formula (a - b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
So now, (x - 3)^3 divided by (x-3)
ans. (x-3)^2 = x^2 - 6x + 9
Only works if the remainder is 0
@@david.breyer 😑😑😑😑
@@manjulasingh5669you’re right my mistake
@@manjulasingh5669 He deliberately gave an example that would come out evenly with no remainder. And in fact, this example is a perfect cube, where your method would work. It ultimately reduces to (x - 3)^3.
In general, it wouldn't always work that way, even if you were given a denominator that divided with no remainder.
Always accurate! 👍
I have been wanting to ask this for a long time ever since i was in 7th grade, it was about a math problem that was shown in this clip. It was at this moment i came across the same problem that i was curious about back in 7th grade, now that i watched the clip over and over again, i can finally say i dont understand shit.
When you divide a polinimial by one of its roots, the result is a polinomial of one lower degree
Wow! Great method. Thank you 🙏
We call this the Horner method here
Wow that is so cool !!
That solution always comes in handy 👍
This looks so much easier compared to when i was in school
We write 7 with a horizontal bar!
To differentiate the 7 with 1. My 7 and I are quite distinguishable.
Helped me a lot, thanks sir👍
love mathematics
The beard legit makes you look like Kenta kobashi, and that's pretty cool
(a+b)^3=a^3+3a^2b+3ab^2+b^3 (binomial theorem)
Amazing!
X - 3 | x³ - 9x² + 27x - 27| x² -6x + 9
x³ - 3x²
-6x² + 27x - 27
-6x² + 18x
9x - 27
9x - 27
No remainder!
Merry Christmas❤❤
The above polynomial is x-3 whole cube and then you divide by x-3 which leaves you with x-3 square
That is really brilliant! Made my life easier, thanks!
You're most welcome~
I remember learning this, and i can understand it before the teacher explain about it
Wonderful
woah this is way better than my mam thought me in class
I remember I loved doing synthetic once I grasped it.
Best explication
Awesome!
Wow very nice 🌹🌹🌹
I like this method.
This is amazing; even though I don’t know why x-3 can be zero, especially it is a denominator; I was taught the denominator cannot be a zero, yet it is so cool to learn a new way like this. In the past I just thought it would be like (x-3)^3, so the answer is (x-3)^2.
it's a quadratic equation with a variable
variable in the denominator *
pareil dénominateur =0 interdit
de plus ne comprenant pas l'anglais et ne pouvant pas traduire les sous titre sur les "short" ...ne ne comprend strictement rien a ce qu'il veut démontrer
x-3 =0 was just to show where I got the 3 as the divisor for the synthetic division method.
@HEC Tutoring can u use any number as the divisor?
The last time I needed to do this was an exam in algebra 2 back in high school. I have since taken a boatload of college level math courses, and if you ever ask me to divide a polynomial, I'm gonna whip out MATLAB. Such a useless skill to learn.
Woowww! Such a great help. Thanks Mr Hu!
Glad it was helpful!
When you learn more in 40 seconds than you fo in a hour and 1/2
And if there was a remainder than its just +{remainder}/(x-3)
Amazing
I like it. Thanks.
Thank you soooo much i really can't express how much i appreciate this video
Wow glad learnt this today
If only you were my teacher in my lifetime, you would have saved my life. 😍😍😍
You're a great teacher
bro I need this I missed the day where my teacher taught this
That was a great example in 1 minute.
Can you do a PFD example?
Very nice sir,This is very easy,Thank you.
understand this too well
Legend
Brilliant teacher. ❤❤
My teacher showed us synthetic division in the 60s. I thought what wizardry is this?
I started freaking out because I forgot how to do synthetic division now I feel stupid for forgetting. Thank you 😅
great. Now think of a real life situation you can use this in.
I want to confess that I've never heard of a synthetic division in Math before. And I thought I was from the descendants of Einstein. 😂
Thank you very much
I had several classes in calculus .This is the first time I ever saw this .I am like what the hell ? I absolutely don’t t
Remember doing that in Algebra 2 or in College Algebra
Bazinga!
I was searching this method thank you very much 😊😊😊🎉🎉🎉new subscriber
Very helpful
Cierto 👍😅
Very thankful
Horner's Division ?
Okay i get this a but more but its one of them ones where i would need to do practice it a couple more times to really grasp
thanks for sharing, never heard about this method. It would be appreciated if you can explain why this method works😊
I have a detailed lesson on a regular video.
Great
Thank you 🙏🏽
You're most welcome 🙏
I don't ever remember learning this.
DAYUMM SENSEI YOU ARE A GOOD MATH TEACHER ❤❤❤🎉
x²-6x+9
Excelente
Thanks so much 🐐
Thank you it help me alot...❤❤
He explained me better than my teacher
The difference 60 seconds and 1 hour
Haven't taken proper math class for 20 years. Addicted to these videos!
thank yo sensei
Good job
In Spanish we call it "Regla de Ruffini"
Just curious if this will work with an exponent that are not consecutive power? If not, what approach should we do there? Thanks
Helpful.