Next Video: kzread.info/dash/bejne/e5WlmdxwosjgnrA.html Final Exams and Video Playlists: www.video-tutor.net/ Functions and Graphs: kzread.info/dash/bejne/jIh52JqInqrHqNI.html Transformations of Functions: kzread.info/dash/bejne/pq2FrtJvqJCtn7g.html Graphing Polynomial Functions: kzread.info/dash/bejne/pIODx8idobDcpKQ.html

Not all heroes wear capes

@PremiumDarkChocolate

3 жыл бұрын

This is so underrated

@animationspace8550

3 жыл бұрын

Maybe he wears a cape. We can't see him.

@joe653

3 жыл бұрын

probably a lab coat

@joshuathomas9862

2 жыл бұрын

Not all heroes teach maths

@josephcanzana9092

2 жыл бұрын

Iron man be like:🤣

Since we started this module you've been my teacher. Thank you

@sly_ly3632

3 жыл бұрын

Eyyy

@Aidy7

2 жыл бұрын

Literally

Most underrated educational channel ever!

@kesavdarshan

3 жыл бұрын

Not underated

@prysm6925

2 жыл бұрын

@@kesavdarshan underrated

@poggerzloggarz2461

2 жыл бұрын

@@prysm6925 well rated

@bernalesjames9110

2 жыл бұрын

cap

@renameagain5808

2 жыл бұрын

@@prysm6925 he has 4 million subs, you dumb?

AD : The old youtube maths videos dont help The organic Chemistry tutor : Hold my calculator

@pfeliciano4062

3 жыл бұрын

Hahahshhshshshshshshshshshshhshahahahahhahahahshsh😂😂😂😂😂😂😂😂😂

@krishivkaran5337

3 жыл бұрын

AD?

@ajsh-yx5sd

3 жыл бұрын

@@krishivkaran5337 advertisement.

@krishivkaran5337

3 жыл бұрын

@@ajsh-yx5sd Oh lol

@shadowx3432

3 жыл бұрын

Ikr 😂

I can't thank you enough. You not only helped me pass my maths paper but also got the highest marks.

No matter how old these videos will get they are still a life saver for me

Your explanations are even better than my lecturer ! Damn this is dope.

Freshman Calculus is going to be a breeze thanks to you my guy.... g looks

This guys really covers most of the topic for IGCSE. A real big help

Him still being useful in 2021 🐐

@aigerakabane1312

Жыл бұрын

2022 also

@pasohspade6473

8 ай бұрын

2023 too lol

@milkaramos8657

5 ай бұрын

2024 too

MR. Organic Chemistry Tutor, thank you for a fantastic video on Factor Theorem and Synthetic Division of Polynomial Functions.

I really hope KZread blesses you with a high CPM, same way you have blessed us with this educational content.

I just want to marry this guy! His voice is so calming and soothing. Makes you feel you are safe. LOL now lets getto Factor theorem hhh

@SMT1908

3 жыл бұрын

Back off Wroi HES MINE!!!!!!!!!!!!

@momomai7761

2 жыл бұрын

his voice makes me feel like everything is going to be okay..

@dancarlodelossantos4759

2 жыл бұрын

He is the internet dose guy

@Ranjit-kv6yi

2 жыл бұрын

Lmfao wtf

I didn't understand the explanation of my Prof so I thought it's hard, and came here looking for an easy to understand one, surprisingly it's actually easy. Thanks man.

Love the content man!

your explanations are so simple, its great

Your videos honestly helps me a lot

This guy just single-handedly saved my grades

Better than all other KZread videos

Stuff's pretty complicated, but preparing beforehand so I don't fail grade 12 functions. Thanks this channel is the best.

@sid4931

2 жыл бұрын

ur learning this in grade 12? Im learning in grade 10, thought this was supp to be lower grade stuff

@babygravy7

Жыл бұрын

@@sid4931 congrats. Some people don’t learn as quickly as you do. Maybe consider that next time

@supernova7567

Жыл бұрын

@@sid4931 Would you like a cookie?

@user-ul3jm2uo7j

Жыл бұрын

wtf im learning this in grade 8

@11mahekkhan11

10 ай бұрын

​@@user-ul3jm2uo7jHow old?

Thnaks alot 🥺❤️really helps me get on the move

The last example is not correct. If you multiply (2x+3) times (12x^2 - 2x - 2) as shown in bottom right at about 7:30, you do not get back to the original expression. The factor (2x+3) should be left as (x + 3/2). (x + 3/2) times (12x^2 -2x - 2) = (12x^3 + 16x^2 - 5x -3) the original expression. However, if you ignore and continue to factor, you do end up with the same final three solutions. Back two years later to edit. (12/29/23) To clarify, the equality statement at 7:30 as stated is not correct. Expanding the equality as shown gives a result off by a factor of 2. Eliminating the fraction from (x+3/2) introduces a factor of 2 into things. He later factors this out of the polynomial, then removes completly by dividing both sides of the equality by 2. Where this 2 came from and what happened to it he never explained.

@yesimkhanh9932

2 жыл бұрын

yeah, lol, i was thinking about the exactly same thing

@3lackman761

Жыл бұрын

You're right

@aszpnh1538

11 ай бұрын

LOL HE did explain it. Notice he took out a two when factoring 12x^2 - 2 x -2

@aszpnh1538

11 ай бұрын

He basically just multiplied the whole expression by 2 on both sides willing doesn’t change the value. Please understand this.

@neillawrence4198

11 ай бұрын

@@aszpnh1538 I do fully understand. What he did to eliminate the fraction by introducing a factor of two, then factoring out later in the final solution is perfectly fine, and I most likely would have done that myself. What I am pointing out is that the equality shown at the bottom at 7:30 IS NOT EQUAL. The left side does not have the factor of two, the right side includes the factor of two. If you foil the right side you do not get the left side, therefore the two cannot be shown as equal. The left side needs to be shown as (2)(12x^3+16x^2-5x-3) in order for the equality to be true. He did say what he was doing in each step, but someone just getting into this may not follow. When he removed the factor of two it would help others if he remarked he was removing the factor of two that he had introduced earlier. OK, nuff said, I'm done.

THIS MAN RIGHT HERE HAS HELPED ME MORE THAN PHOTOMATH

Man I love you so much I can easily understand you in a short period of time 💙🧡💚

Thank you so much It's very useful for me for tomorrow maths exam.🙏🏻🙏🏻

thanks for taking it slow and explaining throughly and clearly I really really appreciate it!!

Best teacher...thank you

Bro you drop this!:👑

you are the best teacher i have ever had love from Pakistan!

@jerichoclemente840

3 жыл бұрын

To sacrifice my own life for pakistan

@laleng8862

3 жыл бұрын

@@jerichoclemente840.

Thanks for everything

this man makes a 1 hour lecture into the same thing but simplified, Easier to understand, and takes 16.67% from that usual 1 hour (It is 10 mins than the usual 60 mins

So Remainder Theorem tells us that the remainder is always equal to f(c). And Factor Theorem tells us that if the remainder is 0, then the smaller polynomial is a factor of the other. Is that it? Or no?

@thef.b.i2705

4 жыл бұрын

Yep that’s right

@aigerakabane1312

Жыл бұрын

That's right

big thanks for you,sir,i was planning to study for my medical college entrance exam,but i'm still in grade 10,and your videos really help me,thanks a lot

im a grade 10 learner and i need help.

Im loving math rn

My exam fear gone by seeing this video .......thank you :D LOL

Thank you so much ❤️

I thought you found the factor of the quotient by finding what multiplied to ac and added to b. Is it different for synthetic division?

nice work sir

6:15 thats a terrible looking 3 HJKSAH i was so tired and then PFFT-- thank you for waking me up

@moshimochi1076

3 жыл бұрын

i just made the comments 69 oof

Big thanks

I have a bunch of hw due and a professor that can’t teach. This guys a lifesaver

Looking forward to high school

Any videos on equating coefficients?

Respect To You My Bro ❤

how tf u not verified yet

Correct me if I am wrong but I think you are doing the vieta formula wrong and it is not the first video. For ex 3:20 you say the product of the zeros are -2 and they add to negative one. That is wrong because they add to +1 ( formula x1+x2= -b/a => -(-1)/1=+1 and product x1*x2=c/a => -2/1=-2.) So this means x´2-x-2 is not equal to (x-2)(x+1). The zeros are -2 and 1 and the equation is a product of (x+2)(x-1). Anyway thnx for all the tutorials in general they are really helpful :)

God blesss you and all that you do ❤

this is the first time i can't understand it

What a genius!...

What a legend !

This has got to be the most tedious genre of math we've had to do so far; usually, algebra is so fun, but these problems just drag on. Thanks for the video, really helped with my comprehension :)

Thank you

i want to cry every time i learn math.

I would of never picked this subject if I knew my teacher was gonna be 70 with a harsh Indian accent. I have to watch this guys videos after every lesson and do the whole this again

Thank you I will pass my exam now I hope :>

Best teacher

Great video but what happens to the (2) at the end of the video, after equating the rest to zero and getting their respective value for x what happens to the (2) amongst them?

I FINALLY UNDERSTAND

Thanks so much

bro is our hero

I just love you.. Life saver

Can you please try to solve polynomial function in synthetic division with a reminder is more than 1.

thanks

im gonna watch this everyday until i get it , trust the process !!!!!

thank you bro

10:30 thanks again for teaching

Watching this for my exam tommorow, wish me luck 😭

if the last factor cannot be factored further for example: x^2-5x+12, what do you do?

@JatPhenshllem

2 жыл бұрын

The quadratic equation

bruh, thankyou so much

How you set up every thing for making this videos any help please

How do you find c?

my hero

But what would you do if in question 1 they didn’t tell you if 3 was a 0 of f(x). And what would you do if they didn’t tell you -3/2 was your root in the second equation. I’m trying to do this but in my questions they don’t give you a hint or straight out tell you was f(x) is. They just give me a polynomial equal to zero and ask me to factor. Please help, thanks.

@delinaberhane1963

3 жыл бұрын

Gdogg x13 you graph the equation in desmos I don’t know if you know about desmos. But it is actually a website that you can use to graph.and then you look at the point where it cross the x axis I hope this helps.

Is there anyone watching it again like me😊

I was kinda lost at 2:10 - 2:16 when we were factoring the x ( in the factor (x - 3) ) in the whole function, how did we arrive to 1x^2-1x-2 especially the -2 part I was lost. Anybody who understood??🤔🤔

@souppe9616

2 жыл бұрын

i got lost there too 🥺

@Faheem443

2 жыл бұрын

@Lynn Salee Essentially, the answers from the synthetic division are: 1, -1 and -2 so you have to substitute the numbers into the equation so you get 1x^2-1x-2 We get -2 from 1-3=-2

@falgunsharma6508

2 жыл бұрын

@@Faheem443 try it with long division method the answer is different . @souppe i was struck here too.

What if the polynomial has a remainder when using the synthetic division, can you still use factor theorem if the sythetic divison used to the polynomial has a remainder????

why is 3 a zero but -3/2 called a root? is it the same thing?

best.

I can't thank you enough but anyway thank you so much I 💗 you.

Tq so much

x10 times better then my university lectures

@anwarfala2593

Жыл бұрын

exactly i accept u

you are awesome. i am also jg

So its like, plugging in different numbers and waiting until zero comes out, so that there we can easily use synthethic division to get the factors of the polynomials, OR by using quadratic formula to find that value of x.

@keypo790

Жыл бұрын

cubic equation what i mean

You're a fucking legend

why is there -2 in the solution for example 1

For the first example, how did 4x^2 become 1x when factored by x?

@cb2738

Жыл бұрын

2:18 Take a closer look; -4 + 3 = -1 Then x^2 becomes x, because we are taking away an x when we divided the entire equation by (x-3) Hope it helps

@bwelipitiya78

6 ай бұрын

so how x become -2 in the first example? @@cb2738

Can't you do this with multiple variables

what happened to the common factor 2 after factorising ?

@manoelghandour8260

3 жыл бұрын

I don't know he neglected it I think he should have distributed it by multiplying it by each bracket.

@TheDarkOne3141

2 жыл бұрын

Maybe he just 4got

How do you know that you should take x-3? Why can’t you take other number???

@tylerschaus9283

3 жыл бұрын

because the question started that 3 was a 0 meaning it is an x intercept or x value of the graph. he already knew that it was divisible by x-3 he was just doing it to show the process. don’t know if u need this anymore but that’s it

I'm literally watching this in the middle of an irl horrible teacher class

I love your voice. I think I’m in love 💘

@sean4427

5 жыл бұрын

Denise Cañada aw

@icyclestick178

3 жыл бұрын

omg a blink LMFAO

@Pulmonary.Tuberculosis

3 жыл бұрын

Same his voice is so relaxing

Solve the following equation for me please using factor theorem..in this situation no factor provided. 1. 2x³-7x²+2x+3=0 2. 6x3+19x²+x-6=0

I just wanna know.. Do we always use P(x) in both Factor and Remainder theorem?

@riyabawa5382

3 жыл бұрын

#MathHelpers

@aigerakabane1312

Жыл бұрын

Yes we do

GOD WILL BLESS YOUUUUUU😭😭😭😭😭😭

5:03 the -3/2 would be converted to +3/2

How do you find c

What if its p(x)= x^4 - 5x^2 + 4 ; x - 2 ?

@clli7943

3 жыл бұрын

then the x^3 place will be 0 and same with x^1 place

and what happens to the 2? cuz 2 is never equal to 0 as portrayed there