Synthetic Division and Long Division of Polynomials (Precalculus - College Algebra 32)
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- Опубліковано 21 вер 2020
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How to perform Synthetic Division and Long Division of Polynomials and how this will be used in conjunction with the Rational Zeros Theorem.
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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
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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.
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Thanks Professor Leonard.
Great Video. Long division is a difficult concept for many students.
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Hey! This video helped me out so much! I was wondering if you've done Factoring (polynomials)
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how many "chapters" (videos) are in a typical test you give?
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27:30 every time he says 'this right here' roman holiday starts playing in my mind 💀
Waiting on you to drop trigonometry!! 🙏
he just started uploading trig
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.
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Recommended textbook for problem sets?
When is trigonometry coming?
Synthetic division kinda reminded me of convolution for some reason.
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God bless you, you're saving my ass from the worst precalculus teacher ever one video at a time
32
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 ???
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. 😁
U are still here
I thought it was henry cavill in the thumbnail
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. ua-cam.com/play/PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6.html
Watch Gilbert Strang lectures from MIT
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.