Thanks for making these videos. You really help me to get through my maths course. Writing exam next Tues. Your videos helped me more than I can articulate. God bless you and your family
You, Nancypi, explain everything batter than that advanced algebra instructor that I have. He is a bit of a smart ass. Thank you for posting your mathematical videos.
Oh how I miss the days when math was this easy! I’m taking Differential Equations now and synthetic division just showed up again. I learned it in pre-calculus but didn’t use it a single time in Calculus 1, Calculus 2, or Calculus 3. Totally forgot how to do it, so thanks for the great explanation! Important reminder to make sure you understand as much as possible in your math classes because you never know when you’ll be expected to remember something you learned years ago.
You don't have to use SD. You can also do it using an area model/Polydoku, which I think is faster (less writing) and more conceptual. You're basically viewing division though the lens of multiplication. It works all the time, and I think you are less likely to forget it.
gah, I used to always forget how to do this. 😅 My teachers would say this was easier than the long way, but both seemed pretty tricky. The missing term thing did usually trip me up lol. Thanks for the refresher! I really like how you draw it out and explain it so it’s easy to understand. 💛
Hi Sam, Yeah, in regards to either Synthetic Polynomial division or Long Polynomial Division, the Synthetic Division is easier, but only if you remember how to do it. The Long Division is almost just like regular division, it just gets clunky because as you multiply through, you have to subtract, and to subtract, you have to change those signs, and so your work gets messy.
@NancyPi, great explanation on how to complete synthetic division but still have not seen anyone discuss the applications of synthetic polynomial division to Computer Science (Cryptology specifically), systems engineering (Control Systems design), and so many other areas. This is the real problem with HS & some college level mathematics...it is taught devoid of application and most kids wonder..why the hell do I need to know this? Most students are not going be engineers, computer scientists, mathematicians, or physicists so why are they learning info that they will NEVER use or in many cases forget by the time it is required in typical STEM tracks in College or grad school ???? Just an old engineer and OR Analyst trying to help his HS daughter learn Pre-Calc and CALCULUS...
Hey Nancy, do you think in addition to this you could show how to use synthetic when the number is going to be a fraction? For example when the denominator is 3x-2? You’re videos are extremely helpful for my students! Thank you so much!
you are marvelous. You took your time in explaining every step. I've watched the videos with other people and they speed through everything without fully explaining why they're doing what they're doing. Keep up the great work beautiful.
Madam today I watched your video on synthetic division of quadratic equations. it is realy very. Interesting.I feel extremely satisfied tu watch your videos on maths. thanks s lot madam.Realy u are one in lakhs tu teach mathematics so brilliantly.Hats off u madam
hi Nancy thanks a lot for helping me in the past semester may you please again help me on Laplace and inverse transformations, unit-step functions and Ordinary Differential equations thank you.
An example of when this is practical, is the deflection of beams. Given a uniform beam with a uniform load, the equation of its deflection curve will be a 4th degree polynomial. Suppose you wanted to know the maximum deflection (distance from its unloaded straight line form). You'd take the calculus derivative, which will be a 3rd degree polynomial, and solve for its roots. The roots tell you where the deflection could be either maximum or minimum, in addition to end cantilevers if applicable. You might get a rational root to this cubic polynomial that isn't on the beam, and you might then need to use that rational root to find the irrational root that is on the beam, which is the root that matters for the practical application.
Higher power numerator slant asymptote. For a slant asymptote the remainder goes to zero ? And then the divisor must be a monomial can it be a higher power ? There is a requirement upon it.
Yes. You would factor your longer polynomial into its roots, so that each one of them would become a linear root term. Even if you had irrational roots, you can do this, although it is more complicated, and probably will be simpler to do polynomial long division. You could also do it with complex roots, in the event that you have an "irreducible" quadratic, but it will probably be a lot simpler to divide by the quadratic with polynomial long division.
the problems are hard and all, but i'm more impressed about how neatly she writes backwards
fax
U seriously think she write backwards?
If I am not wrong, what u see is a mirror video
Imagine having her as a teacher oh my god ❣️😊😊 explains it so well
Lion Alesso oh. I’m the quiet kid
Wow that was a very quick, but effective method and taught in a precise way. Amazing!!
omg how is it that you post exactly what I need exactly when I need it???? Nancy your amazing
Was confused cuz I missed a day of school when this was taught but watching this made me understand it clearly. Thank you!
Nancy for cpt marvel
Yesss
This was too good!! Thanks for explaining it! (I love ur channel btw!!!)
helped a lot, thank you!!! please keep doing videos like this.
Thanks for making these videos. You really help me to get through my maths course. Writing exam next Tues. Your videos helped me more than I can articulate. God bless you and your family
the best explanation so far
Many thanks for this video and all your videos. You make math understandable 😊
Thanks for these you helped me through my first semester calculus course
Your my real teacher for this semester !! lol love your videos and explanations
still watching these in 2021. You are a lifesaver!!!💚💚💚
Thanks so much, You always do a GREAT JOB!
You’re so great in explaining ❤️ I love it ❤️
You, Nancypi, explain everything batter than that advanced algebra instructor that I have.
He is a bit of a smart ass.
Thank you for posting your mathematical videos.
Wow nice throwback I should think about taking clac 2. Great video as always
This video was made right on time.
thanks so much now got a help for my exam.❤
wish to have you as a teacher.
You're so great, thank you so much!
Lovely and nice way to teach and explain. very helpful
Thank you, you’re an excellent instructor! -Mary
Thank you so much!!! Really helpful. I have a final tomorrow!!
Thank you Nancy!
Never newed math could be this eazy thanks nancy
this girl is the only person who can teach me math
My textbook be using scientific space magic terms to explain how to do stuff when really it's as simple as this. Amazing.
You are a life saver!
Thank you so much! This was very easy to follow
Thank you! I ask all my students to view your videos.
Oh how I miss the days when math was this easy! I’m taking Differential Equations now and synthetic division just showed up again. I learned it in pre-calculus but didn’t use it a single time in Calculus 1, Calculus 2, or Calculus 3. Totally forgot how to do it, so thanks for the great explanation! Important reminder to make sure you understand as much as possible in your math classes because you never know when you’ll be expected to remember something you learned years ago.
You don't have to use SD. You can also do it using an area model/Polydoku, which I think is faster (less writing) and more conceptual. You're basically viewing division though the lens of multiplication. It works all the time, and I think you are less likely to forget it.
SO easy to understand. Thanks!!!
Nancy, you are a BRILLIANT TEACHER! 😅👍🙏
thank god u reuploaded this!!!
This video is gold thank you 😍😍
This really helped me so much.
Thank you! Why are math teachers and textbooks unable to communicate clearly? You are a life saver
I love your way of teaching❤
Love your lessons! Thank you....
i finished my math homework for the night but oh my god she’s just so relaxing
good stuff
should be getting more publicity, and I'm just amazed at how she can write inverted letters, my brain would fry itself if I'd tried.
Thanks again!
gah, I used to always forget how to do this. 😅 My teachers would say this was easier than the long way, but both seemed pretty tricky. The missing term thing did usually trip me up lol. Thanks for the refresher! I really like how you draw it out and explain it so it’s easy to understand. 💛
Hi Sam, Yeah, in regards to either Synthetic Polynomial division or Long Polynomial Division, the Synthetic Division is easier, but only if you remember how to do it. The Long Division is almost just like regular division, it just gets clunky because as you multiply through, you have to subtract, and to subtract, you have to change those signs, and so your work gets messy.
Good luck 👍 with school
This is polynomial made easy.Much love from Nigeria
Thank you so much you Nancy are super savior
Thank you ma'am Nancypi
@NancyPi, great explanation on how to complete synthetic division but still have not seen anyone discuss the applications of synthetic polynomial division to Computer Science (Cryptology specifically), systems engineering (Control Systems design), and so many other areas. This is the real problem with HS & some college level mathematics...it is taught devoid of application and most kids wonder..why the hell do I need to know this? Most students are not going be engineers, computer scientists, mathematicians, or physicists so why are they learning info that they will NEVER use or in many cases forget by the time it is required in typical STEM tracks in College or grad school ???? Just an old engineer and OR Analyst trying to help his HS daughter learn Pre-Calc and CALCULUS...
Excellent teaching ❤️
Can you please make a video on rational integrals that have irreducible denominators using partial fractions?! Thanks Nancy!!
Hey Nancy, do you think in addition to this you could show how to use synthetic when the number is going to be a fraction? For example when the denominator is 3x-2? You’re videos are extremely helpful for my students! Thank you so much!
THANK YOU
Thank you for all you efforts, but I was wondering what is the basic mathematical formulas of all your videos
Thank you!
you are marvelous. You took your time in explaining every step. I've watched the videos with other people and they speed through everything without fully explaining why they're doing what they're doing. Keep up the great work beautiful.
Reminds me of horners method...might be a nice video topic :) Still pleasantly surprised to see your activity!
Madam today I watched your video on synthetic division of quadratic equations. it is realy very. Interesting.I feel extremely satisfied tu watch your videos on maths. thanks s lot madam.Realy u are one in lakhs tu teach mathematics so brilliantly.Hats off u madam
Great tutorial, any chance you would do one covering Fourier series please
You are really the very best.
Thank you queen
Thank You!
hi Nancy thanks a lot for helping me in the past semester may you please again help me on Laplace and inverse transformations, unit-step functions and Ordinary Differential equations thank you.
This explains me well.
thank you very much
Thank you
Thank you ♡
Thanks!
your great, thank you so much 🤘
Wow, thanks!
This is so much easier than what my teacher is teaching
you are good teacher thank u
Can you do stuff on 3d vectors? Parametric equations and what not?
Tysm 😘
U are making mathematics look easy
can you do a video explaining IVT and EVT???
Wow u teach us very nice
This is so much fun, really enjoying your vids during my calculus class, thank you!
Liked,subbed,saved.🤠Thank you.
brilliant...
thx for the help :)
Tank you!
Her “good luck” at the end had me dead 💀
Omg thank you!! You teach better than my professor
Love you teacher
Can you explain the factor theorem and remainder theorem?
"I will come back, you were a great help" - Andrew
this is sooo awesome
love your videos ma'am
love from india
She's back?!!😃😃
You’re the best in mathematics 😍😍😍🌸🌸🌸🌸🌸🌸❤️❤️❤️❤️❤️❤️❤️🇸🇦
i hope you come back and make more video
How does this work/when is it practical? Thanks for the refresher.
An example of when this is practical, is the deflection of beams. Given a uniform beam with a uniform load, the equation of its deflection curve will be a 4th degree polynomial. Suppose you wanted to know the maximum deflection (distance from its unloaded straight line form). You'd take the calculus derivative, which will be a 3rd degree polynomial, and solve for its roots. The roots tell you where the deflection could be either maximum or minimum, in addition to end cantilevers if applicable. You might get a rational root to this cubic polynomial that isn't on the beam, and you might then need to use that rational root to find the irrational root that is on the beam, which is the root that matters for the practical application.
thank u
i respect you
Mam please make a video on the derivation of synthetic division
World best teacher
Everyone is saying this is calculus......i'm doing this in algebra 2....plz save me i'm dying
Mck Harris i’m watching this and i’m in algebra 1 lol
Exactly I'm in algebra 2 but I'm pretty sure we'll need this for calculus next yr
same bro same.
We are doing this stuff in Algebra 2
This isn't calculus last I checked xp
Higher power numerator slant asymptote. For a slant asymptote the remainder goes to zero ? And then the divisor must be a monomial can it be a higher power ? There is a requirement upon it.
is she writing everything backwards
A software for that is available..
she actually is writing it all backwards
@@shashwat4920 You can also use hardware to do it. Put a 45 degree mirror in front of the camera lens, and aim the camera at a 90 degree angle.
No js inverted
Is there a way to use synthetic when dividing by longer polynomials than x-2? Like ones including cubes and squares
Yes. You would factor your longer polynomial into its roots, so that each one of them would become a linear root term. Even if you had irrational roots, you can do this, although it is more complicated, and probably will be simpler to do polynomial long division.
You could also do it with complex roots, in the event that you have an "irreducible" quadratic, but it will probably be a lot simpler to divide by the quadratic with polynomial long division.
Short and sweet synthetic division for late evening learning. Hmmm up next could be real sleep. Thank you for a wonderful synthetic night cap Nancy!