THANKS Mr. H. ,I am an old student of 66 years and you give new methods for win time .
@haroldharris9832
Жыл бұрын
I was never taught synthetic division. This was great. A good way to double check your work.
@chocolateangel8743
Жыл бұрын
It only works when x is to the first power.
@jmich7
10 ай бұрын
@@chocolateangel8743 Yeaaaaaahh! :-)
@RahulSharma_45
Жыл бұрын
Who wants this man to be his high school teacher.
@janoycresva276
Жыл бұрын
I had a really great math teacher during my junior year of high school, he taught me this & I loved math then.
@jxyvsn5630
10 ай бұрын
✋
@Odijis
4 ай бұрын
Screw that, I want him in grad school
@AllenGoodwin-h8o
3 ай бұрын
I would gladly have him as my math teacher. His explanations are simple and clear. his writing on the other hand only gets a grade of C.
@TheWizard856
Жыл бұрын
You sir are a gift to humanity.
@Zen-x2e
8 ай бұрын
agreed
@ricardomeneses3393
2 ай бұрын
THANK YOU Mr. H. I used to be good at math. Now I am 65years old and one of my hobbies is to remember again and learn again.
@srikantsingh6533
Жыл бұрын
I remember learning both long division and kind of synthetic Division methods as well as remainder theorem in my 9th standard.. but I never applied it this way.. it always worth giving time to your videos.. I revised as well as learnt such a surreal application. Wholeheartedly thank giving to you sir for uploading it on KZitem and connecting with us.. may God help you achieve your summit..😊
@markdonnelly1913
Жыл бұрын
You have a fantastic ability to make what initially looks like a difficult problem into an easily solvable one. I wish all mathematics teachers that I ever had would have broken it down so easily and quickly. Thank you.
@mrhtutoring
Жыл бұрын
Thank you very much!
@lioncaptive
Жыл бұрын
First thing first - I zoom in to Mr H's videos and gain a wealth of knowledge. Math stablizes -- making me a fervent admire of your lessons.
@hertselcorech9680
Жыл бұрын
Thank you Mr. H as always, it's always a pleasure to listen to your lectures 😊
@mrhtutoring
Жыл бұрын
So nice of you. Thank you!
@sreedhar75perupally
Жыл бұрын
Sir Good Morning 🙏 You are Unique in your Math Teaching.... Almighty Bless You Sir
@luisclementeortegasegovia8603
Жыл бұрын
Excelent video, it covers all posibilities. Thanks professor!
@mussejama311
Жыл бұрын
Absolutely beautiful and easy to understand. What a great teacher you are..
@mrhtutoring
Жыл бұрын
Thanks so much 😊
@amramjose
Жыл бұрын
That was very clear and didactic, excellent material, thanks.
@mrhtutoring
Жыл бұрын
Glad you enjoyed it!
@WalterFernandes-du7om
4 ай бұрын
You're just superb dear Sir. You make these explanations so simple to understand. Way to go .. keep going string....
@mikewtull
Жыл бұрын
Outstandingly concise. Enormously helpful. Many thanks.
@mrhtutoring
Жыл бұрын
You're welcome!
@OnahChigozie
Жыл бұрын
This is polynomial made easy.Much love from Nigeria
@vineetdubey2063
11 ай бұрын
Thank you Mr. H, this video is amazing, cleared all my concepts regarding division of polynomials!
@mrhtutoring
11 ай бұрын
Glad it helped!
@robertp2934
Жыл бұрын
Hello Mr. H. I just found your channel and subscribed immediately. Your teaching methodologies are superb!
@mrhtutoring
Жыл бұрын
Welcome aboard! And thank you! 😊
@davea136
6 ай бұрын
Thank you for the review, it is always good to go over useful methods.
@otoko420
Жыл бұрын
Thank you very much for your videos. I will try to support your channel so that it reaches more people, those people who teach and enjoy it are greatly appreciated, especially when it comes to mathematics. Thanks again
@williamjoyner4251
Жыл бұрын
Some people will say you cannot do synthetic if the denominator is like 2x + 1 or 3x - 5, but you can. You will have a fraction on the outside and have to divide your final answer (except the remainder) by the denominator of the fraction.
@420sakura1
Жыл бұрын
Never seen Synthetic division ever. This looks lot more fun
@jobilee3575
11 ай бұрын
This teacher deserves more views and credit in teaching us math
@mrhtutoring
11 ай бұрын
Thanks, I appreciate it.
@JaneijeomaAndinam
7 ай бұрын
You have fantastic teaching skills😊🎉
@delpepitozipepit1010
11 ай бұрын
You are legit the best professor in the whole youtube
@lucquan7603
Жыл бұрын
How wonderful. It's easy to understand the explanation.....Thank you
@mrhtutoring
Жыл бұрын
Glad it was helpful!
@CC_ImmerGreenTea
Жыл бұрын
Thank you Mr. H
@asuila4532
6 ай бұрын
Amazing ‼Thank you professor 👍🏻
@josephshaff5194
Жыл бұрын
Thanks. Always reviewing the basics.
@CD10ANIL
Жыл бұрын
Magnificent, not words...Love you
@chocolateangel8743
Жыл бұрын
The long polynomial division method is good for those that view division as repeated subtraction. However, for those of us that view division through the lens of multiplication, an area model might be easier to understand. I would encourage you to through up a video on that, when you have the time. Oh, it's also faster than long division, works all the time, and takes up less space. Since I have a preference for it, I don't care for synthetic division (or how it's typically taught).
@sahil_279
11 ай бұрын
Thank you sir for explaining us in such a beautiful way . I hope I pass tomorrow ❤
@mrhtutoring
11 ай бұрын
All the best
@sahil_279
11 ай бұрын
@@mrhtutoring thank u sir ❤️
@LordZombieZanetta
7 ай бұрын
This was the coolest thing ive seen in a long time. I love Math!
@giantswingallday7001
Жыл бұрын
I remember doing synthetic division back in HS! Fun times!
@panyachunnanonda6274
Жыл бұрын
Thank you very much, I love your instruction
@nethvegz3465
Жыл бұрын
You are amazing teacher God bless❤❤❤
@justinmolebale8925
Жыл бұрын
I am learning a lot that will be useful in my own teaching from this wonderful teacher
@michaeldaniels8582
Жыл бұрын
Excellent tutorial staff
@senthilkr1970
Жыл бұрын
Thank you so much Sir. Your videos really helps a lot. 🙏🙏🙏
@donaldmcronald2331
8 ай бұрын
I learned synthetic division in university, but we call it Horner's Method. It's so convinient.
@JohnChisom-z7f
11 ай бұрын
Wow you're such a wonderful teacher
@mrhtutoring
11 ай бұрын
Wow, thank you!
@jesper856
8 ай бұрын
You should teach math teachers how to teach because you're an amazing teacher....
@karthikeyanmuthukumar
Жыл бұрын
Liked👍 sir
@mawavoy
Жыл бұрын
Thanks for an excellent presentation.
@harrisonphin1235
Жыл бұрын
Clear and excellent explanation
@Rasmus-tz3zp
Жыл бұрын
Thank you for this fun explanation!
@mrhtutoring
Жыл бұрын
Glad you enjoyed it!
@joeimbesi99
6 ай бұрын
Love it .Did this years ago
@franckhenchellatouche1173
Жыл бұрын
Thank you Sir!Nicely done!👍
@piccolo64
Жыл бұрын
Beautiful and simple proof 🤩 Let P(x) be a polynomial of degree n To perform the division of P(x) by (x - a), we use the method of polynomial division. Let q(x) be the quotient (polynomial of degree n-1) and r be the remainder of this division: P(x) = q(x) * (x - a) + r Now, let's evaluate this equation at x = a: P(a) = q(a) * (a - a) + r Since (a - a) is equal to zero, we get: P(a) = r
@mmh1922
Жыл бұрын
Well done!, thank you.
@fernanguime
Жыл бұрын
very good explanaition, thanks
@mrhtutoring
Жыл бұрын
Glad you liked it
@jpopjr4066
5 күн бұрын
What are or is the basic principal behind finding the root of the linear denominator, and the explanation to its relationship to the "x" in the numerator, please, respectively?
@vlogwithritam3650
Жыл бұрын
Thanks you sir
@Zen-x2e
8 ай бұрын
First time i heard it and it gonna save lot of time 😆
@AnouckJourdaa-kz8nk
4 ай бұрын
Great video, clear and straight to the point. I cringe at the chalk sound though, if you could use a whiteboard instead it would be better :)
@marcusgloder8755
Жыл бұрын
Here is a traditional polynomial division. x³+3x²-4x-12 : x-2 = x²+5x+6 x³-2x² ------ 5x²- 4x 5x²-10x --------- 6x-12 6x-12 ------- 0 Best regards Marcus 😎
@fullc0de
Жыл бұрын
Nice!
@patrickkaunda1406
Жыл бұрын
Thanks professor
@mileskt9232
23 күн бұрын
amazing, subscribed
@mohammadishaq5299
Жыл бұрын
❤❤❤🎉🎉🎉 Excellent
@barry_g8443
Жыл бұрын
Excellent technique
@juancarlossavin9951
Жыл бұрын
Thankyou.
@mulicshj752
Жыл бұрын
❤❤
@vidlover7875
9 ай бұрын
If you have a quadratic in the denominator, could you factor out both of the linear factors, and then use both values of x (if multiple) as the dividend (for the synthetic division)?
@RobG1729
Жыл бұрын
I like your way of explaining. In the first division, you didn't have a close parenthesis for the expressions being subtracted.
@AjayKumar-ci9zw
Жыл бұрын
Nice
@Waycio69420
Жыл бұрын
👍
@JoeyHernandez-w5l
6 ай бұрын
A common mistake that one makes, when not in class, is because we miss out on the rules by not being in class when we are supposed to be . I see that now but it is never too late for miss lessons.
@sintervinter7233
2 ай бұрын
There are new methods now for Synthethic Division Non Linear, it is doable with Horner but it is modified
@benben90b
Жыл бұрын
great thank you
@As-pf1zu
Ай бұрын
Can you solve for a function? So P(f(x)) such that f(x) is some function of x?
@donaldscribner1057
Жыл бұрын
Great!
@mathsrelated
Жыл бұрын
Ok sir.
@sander_bouwhuis
Жыл бұрын
I love the long division! I'm not so sure about the synthetic division though. What if the denominator in the first example is something like 2x^2-10x+4=0? Long division still works then, but synthetic division will return 2 solutions for the denominator. In fact, what if the denominator only has complex solutions, like 2x^2-3x+4?
@mrhtutoring
Жыл бұрын
Synthetic division only works when the divisor is power of 1
@carultch
Жыл бұрын
Synthetic division still works when you have no real solutions. You would need to appeal to complex numbers to find your component polynomials. It's much easier to use polynomial long division, any time you don't have a real root to work with. Consider the example of: x^4 - 2 x^3 + 6 x^2 - 2 x + 5 which has no real solutions, but has a known factor of (x^2 + 1). This means two of its complex solutions are x = i and x = -i, Synthetic division with x = i as one root, pens out as follows: i |_1__-2______6_______-2_______5__ . .______i_____-1-2*i____2+5*i___-5__ . . . 1 . -2+i . . 5-2*i . . . . 5*i . . . 0 Continue the same process, using x = -i. -i |__1___-2+i____5-2*i____5*i___ . . _______-i______2*i______-5*i___ . . . . 1 . . -2 . . . . 5 . . . . . . 0 Resulting factored form: (x^2 - 2*x + 5)*(x^2 + 1)
@joycecasera548
Жыл бұрын
❤
@kanjosie.school
Жыл бұрын
What if the p(5) was negative, like p(-5)
@maryjudithachulang9016
Ай бұрын
Hi! Can you use synthetic division when the divisor is a quadratic or even any degree more than two???
@mrhtutoring
Ай бұрын
Synthetic division is used only when the divisor is a degree of one.
I am Indian but I watch this video to understand some concepts.
@svenwaibel7007
Жыл бұрын
For remainder theorem what about e.g. P(-1)?
@christower-vi4vr
Жыл бұрын
I have never been taught this synthetic division, need more practice to get familiar with
@mrhtutoring
Жыл бұрын
It's quite helpful. Much quicker and efficient than the long division method.
@lutukurthisarada6798
Жыл бұрын
Sir please can you teach polynomial graphs
@kevinwall6675
Жыл бұрын
This is good stuff, however, I really need to see how this is done with a calculator. Just being real. I wish I would have had you in juniorhigh when I got hopelessly lost in arithmetic .
@corn4744
5 ай бұрын
Make a video of how do you study math pls.
@ッAzula
Жыл бұрын
Sir please help me to find this Integration of tanx under root dx
@shaniya8200
7 күн бұрын
1:11 how in the heck is it positive. it’s always one thing after another with math that just confuses me. i thought i had it right saying it would be x^2 but nooooo somehow it’s a POSIVE 5x ..??? how when they have different signs??? i’m not saying you’re wrong i just don’t understand
@darryltibbits7051
Жыл бұрын
My high school math teacher was horrible. I had to learn most of my math in college. Assuming that you can rock calculus like you can algebra I would have been a lot better off.
@giuliana4247
Ай бұрын
That is the method of Ruffini.
@marcusgloder8755
Жыл бұрын
My solution, without watching the video or reading other comments. 😎 (x³ + 3x² - 4x -12) : (x - 2) DIV 3 2 1 0 ‐--------------------------------------------- 2 1 3 -4 -12 2 10 12 ----------------------- 1 5 6 0 Solution x² + 5x + 6 A requirement is a divisor of the form (x + a) with a ∈ ℝ. Best regards Marcus 😎
@-_IT_-
7 ай бұрын
Why is it a 5x³ and not an x³, If you are subtracting 3x³ from 2x³?
@jamesharmon4994
20 күн бұрын
Because you are subtracting a negative 2 from a positive 3.
@luisrolon1475
Жыл бұрын
I second (H) and (B)
@शिव-ठ6प
Жыл бұрын
In India we learn this technique in 9th standard😊😊
@TheGenerationGapPodcast
Жыл бұрын
So?
@TheGenerationGapPodcast
Жыл бұрын
Why mr caste
@schwobelabibalbol
Жыл бұрын
great video, tho in 8:08 you put theorm instead of theorem
@mrhtutoring
Жыл бұрын
Thank you for pointing it out. I missed that one.
@trippies2000
Жыл бұрын
5:06 you mean x² not 1x²
@carultch
Жыл бұрын
They both mean the same thing. x^2 implicitly means 1x^2.
@arberzere6762
6 ай бұрын
+3 - 2= 5?
@QuranTheWay
3 ай бұрын
great synthetic division is great but Pakistan kay jahi teacher is ko wrong ker Daitya hain like in KIPS school soan garden ISD.
@cliffordabrahamonyedikachi8175
7 ай бұрын
Long division is better.
@user-rc9jf8ng2k
Жыл бұрын
I was NEVER taught this in highschool, now I am mad.
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