Thanks Leo! You made it very clear! It's sad that there is one unhappy soul that didn't understand polydivision. We other 234+ who did understand this stuff, will pray for him :D
Hey, professor ! I just saw this video pop up in my reccomended and just wanted to come back to thank your for 2 years ago when u helped me get 10/10 on my numerical methods exam. Big brain and big biceps!! All the best and stay safe to everyone !
hey I just wanted to thank you I started my first college semester during this pandemic and my stat professor doesn't lecture or show his face on zoom am not learning anything but the topics you cover in your statistic class are heaven-sent thankyou you're helping me by walking me through everything I need to learn.
You're just phenomenal...Your videos helped me in Calculus 3, Differential Equations and now they're helping me in Probability and Statistics...I hope you and your family are in the pink of your health and thanks a ton for your help...May you find all the happiness and may your all wishes be fulfilled...I believe in Professor Leonard!!
Your lectures are so phenomenal it's like I'm cheating! You never condescend, yet you fill in every little gap that students might have in their work and it saves me SO much headache!
Hi Professor, thank you SO much for all of your videos. I have been watching your videos since I began at university, and honestly, you teach much better. Your method is very wholesome and I can appreciate how connected you are to your students and viewers, because you remember what it was like when you were still learning. In my experience, it is often forgotten by most professors and they teach us as if we already have our phd!! I look forward to watching your videos because they do not leave me feeling confused or frustrated with my abilities, and it is encouraging to hear you say "you WILL be able to do this!". I hope your wife and her pregnancy is going along well, thank you again Professor!
I just wanted to say you are an amazing person. That makes amazing videos and with out you I don’t know how I would pass calculus 3. You are better than any professor I have ever had. Keep up the fantastic work.
Professor Leonard, thank you for a classic selection and explanation of Synthetic Division and Long Division of Polynomials in Precalculus //College Algebra. These tools are useful for breaking down polynomials.
I love the way you teach Professor. You've helped me so much in calc and DEQ and I can't for you to finish DEQ. Thank you so much and keep up the great videos :)
Professor Leonard! I have my final tomorrow! I keep referring back to your videos for college algebra because I am working on my final exam practice assignment! I so far know more than half of it already! You have been a blessing! I am doing a winter intermission course for trigonometry! Not to rush you but January is coming up fast! Then it is back to pre-cal haha I switched my major to physics so I can apply to a 4 year university! I will be a long time subscriber!
I have a question: Once you know x-1 is a factor by using f(1) = 0, you can write (x-1)(ax^2+bx+c), we cna then expand out and equate coefficients to find a = 2, b = 1, c =3. The method of synthetic division seems to be much more complicated. Is there a situation where the synthetic division is needed and what I stated above doesn't work?
Just bringing insights on international differences :) It's interesting to realize that a way of writing dividend, divisor and quotient in long division method differs from how it's commonly written by mathematicians in Slovakia. I'm sorry to admit that I like our way better than yours even though I love your channel. Also, the syntetic division method is called Horner's method.
You're a good teacher, but I prefer using an area model. I'm more of a conceptual and visual learner that views division through the lens of multiplication. I'm also one of those people that adds to solve a subtraction problem and such. I'm different like that. 😁
That's not Prof. Leonard's fault. You know he has a full time job and is a father. Also: the pandemic. Everything on this channel is done out of the goodness of his heart. And it's free. It's time for you to show some gratitude and perhaps learn to help yourself with your math problems. ruclips.net/p/PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
i am literally cringin at my book bc it is trying to give me a series for both the quotient and the function that is being divided. i am begging you please help i have been trying to get this for over an hour, ive tried looking on the we bbut to no avail, ill try not to screw it up: let f(x) be a polynomial of degree n such that f(x)=asub 0 x^n + asub 1 x^n-1 + asub2 x^n-2 +...+asubn where the subs indicate a term in a series sub just is subscript. quotient or q(x)= bsub0x^n-1+ bsub1x^n-3 + bsub2x^n-2+...+bsub n-1 now i multiplied trough by the divisor to get a relation bewteen it and the quotient and te original function so that coefficients are compared, but im somehow not understanding what to do when expanding the nth coefficients of the series. any chance you could mabye show me a derivation and mabye send it to my email: kazimierzwojcik666@gmail.com but ofcourse i understand if you are busy, yet i am just ripping my head off right now, mabye im missing something so trivial, but i am just not sure anymore. any help even from comments is great as i dont want to understand maths without a level of rigor; just not really fun.
Wow. Single-handedly saving me from the depths of asynchronous Pre-Calc. May your days be bright good sir. What a blessing.
Thanks Leo! You made it very clear! It's sad that there is one unhappy soul that didn't understand polydivision. We other 234+ who did understand this stuff, will pray for him :D
Hey, professor ! I just saw this video pop up in my reccomended and just wanted to come back to thank your for 2 years ago when u helped me get 10/10 on my numerical methods exam. Big brain and big biceps!! All the best and stay safe to everyone !
Great job! That's very impressive!
hey I just wanted to thank you I started my first college semester during this pandemic and my stat professor doesn't lecture or show his face on zoom am not learning anything but the topics you cover in your statistic class are heaven-sent thankyou you're helping me by walking me through everything I need to learn.
You're just phenomenal...Your videos helped me in Calculus 3, Differential Equations and now they're helping me in Probability and Statistics...I hope you and your family are in the pink of your health and thanks a ton for your help...May you find all the happiness and may your all wishes be fulfilled...I believe in Professor Leonard!!
Your lectures are so phenomenal it's like I'm cheating! You never condescend, yet you fill in every little gap that students might have in their work and it saves me SO much headache!
I agree, we found the cheat code to Math essentially. We are indeed blessed individuals.
Hi Professor, thank you SO much for all of your videos. I have been watching your videos since I began at university, and honestly, you teach much better. Your method is very wholesome and I can appreciate how connected you are to your students and viewers, because you remember what it was like when you were still learning. In my experience, it is often forgotten by most professors and they teach us as if we already have our phd!! I look forward to watching your videos because they do not leave me feeling confused or frustrated with my abilities, and it is encouraging to hear you say "you WILL be able to do this!". I hope your wife and her pregnancy is going along well, thank you again Professor!
Best Math professor ever! I came to this video from your calculus 2 videos. I'm on integrating partial fractions.
Yes! I love that you're uploading videos so much lately. They are a lifesaver. Can't wait for the trig portion.
I just wanted to say you are an amazing person. That makes amazing videos and with out you I don’t know how I would pass calculus 3. You are better than any professor I have ever had. Keep up the fantastic work.
Professor Leonard, thank you for a classic selection and explanation of Synthetic Division and Long Division of Polynomials in Precalculus //College Algebra. These tools are useful for breaking down polynomials.
Currently watching your statistics videos and omg you have helped me tons. Thank you for being the best professor ever.
I love the way you teach Professor. You've helped me so much in calc and DEQ and I can't for you to finish DEQ. Thank you so much and keep up the great videos :)
Professor Leonard! I have my final tomorrow! I keep referring back to your videos for college algebra because I am working on my final exam practice assignment! I so far know more than half of it already! You have been a blessing! I am doing a winter intermission course for trigonometry! Not to rush you but January is coming up fast! Then it is back to pre-cal haha I switched my major to physics so I can apply to a 4 year university! I will be a long time subscriber!
You're the best, prof!
Thanks Professor Leonard.
As usual thank you professor Leonard!
thank you, math daddy!
Great Video. Long division is a difficult concept for many students.
I love you too, many many thanks for the videos. Btw, your red colour t-shirt looks gorgeous.
amazing, thank you!
YOU ALWAYS SAVE MY LIFE ❤️❤️❤️❤️❤️
I’m just here to drop a thumbs up!
Hey! This video helped me out so much! I was wondering if you've done Factoring (polynomials)
Great man, love from kashmir
The GOAT
27:30 every time he says 'this right here' roman holiday starts playing in my mind 💀
Super Professor
THANK YOU SO MUCH
I love you leonard
how many "chapters" (videos) are in a typical test you give?
Waiting on you to drop trigonometry!! 🙏
he just started uploading trig
Superb
I have a question: Once you know x-1 is a factor by using f(1) = 0, you can write (x-1)(ax^2+bx+c), we cna then expand out and equate coefficients to find a = 2, b = 1, c =3. The method of synthetic division seems to be much more complicated. Is there a situation where the synthetic division is needed and what I stated above doesn't work?
Just bringing insights on international differences :)
It's interesting to realize that a way of writing dividend, divisor and quotient in long division method differs from how it's commonly written by mathematicians in Slovakia. I'm sorry to admit that I like our way better than yours even though I love your channel. Also, the syntetic division method is called Horner's method.
First view from INDIA
Recommended textbook for problem sets?
Synthetic division kinda reminded me of convolution for some reason.
thnakssss
God bless you, you're saving my ass from the worst precalculus teacher ever one video at a time
When is trigonometry coming?
Never thought i’d understand from a vid…very good job actually🤍
Would you be able to recommend a good textbook with practice problems?
Check out Paul's online notes, they have questions in addition to the notes
@@xirsixussien7303 who is Paul ???
🙏❤
32
♥️
You're a good teacher, but I prefer using an area model. I'm more of a conceptual and visual learner that views division through the lens of multiplication. I'm also one of those people that adds to solve a subtraction problem and such. I'm different like that. 😁
I thought it was henry cavill in the thumbnail
U are still here
Dude I requested you to make a series on linear algebra like a year ago and now I’m in college lost -_-
That's not Prof. Leonard's fault. You know he has a full time job and is a father. Also: the pandemic. Everything on this channel is done out of the goodness of his heart. And it's free. It's time for you to show some gratitude and perhaps learn to help yourself with your math problems. ruclips.net/p/PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
Watch Gilbert Strang lectures from MIT
احجي عراقي
i am literally cringin at my book bc it is trying to give me a series for both the quotient and the function that is being divided. i am begging you please help i have been trying to get this for over an hour, ive tried looking on the we bbut to no avail, ill try not to screw it up:
let f(x) be a polynomial of degree n such that f(x)=asub 0 x^n + asub 1 x^n-1 + asub2 x^n-2 +...+asubn
where the subs indicate a term in a series sub just is subscript.
quotient or q(x)= bsub0x^n-1+ bsub1x^n-3 + bsub2x^n-2+...+bsub n-1
now i multiplied trough by the divisor to get a relation bewteen it and the quotient and te original function so that coefficients are compared, but im somehow not understanding what to do when expanding the nth coefficients of the series. any chance you could mabye show me a derivation and mabye send it to my email: kazimierzwojcik666@gmail.com
but ofcourse i understand if you are busy, yet i am just ripping my head off right now, mabye im missing something so trivial, but i am just not sure anymore. any help even from comments is great as i dont want to understand maths without a level of rigor; just not really fun.