FASTEST way to factor a trinomial!  

Eyes, I copied it from some guy named Dr. Payment!

And I am still waiting for him to comment on this video so I can pin his comment. BUT I guess I will just pin yours instead.

Hahahahaha

😂😂😂

@@ViratKohli-jj3wj Virat Kohli 🥺🥺 aap bhi math krte hain Kya,

Different.

Lol 😂

Lol same

Jajajajaja *laughs in spanish

yh ikr haha

After doing some research, I figured out why it works the way it does. Firstly, you should know that the reason you're able to multiply AC is because of the nature/pattern of Quadratics. No matter the method you use, the factors you generate will always be factors of AC. Secondly, this method works by compensation. When you multiply AC, you're actually increasing the constant by whatever the leading term is. This also means that the factors you generate are going to be as many times as large (based on whatever the leading coefficient is. As such, you have to divide by whatever the leading coefficient is to compensate for this. Now, I want to address by you swing up the leading coefficient when it can't be divided out. What you're actually doing is multiply the fraction by whatever the denominator is -- in order to put it in standard form. Technically, leaving it as a fraction is not wrong. The fraction and standard form are actually equivalent. I hope this helps.

Not work in everywhere

Actually quite simple once you get it. And it's much, much faster then the normal method's, at least for me.

@@rocketpencil5948 It is simple, once a person "gets it." However, one problem I continually see is that too many math will call things "tricks," don't explain the mathematical logic behind what they are doing, and just expect students to memorize steps. The longer approach isn't much longer than the shortcut, and you can actually see your work. Using area models are pretty quick as well.

ts so simple bruh ☠️

This is why you need to focus and learn the fundamentals.

Real💀 I was already thinking about life after failing my math exam

THANK GOD HE MADE THIS!!!!

I have some steps, label each trinomial as eithrr a b or c (going in order) multiply a and c factor the resulting expression, devide everything by a. If a term cannot divide by a slide a infront of the variable. Hope this helps

@@onikabuto5064 did you pass?

Amazing! : )

I've been using it from 6th, it's called splitting the middle term. Yes Im an asian🤣

@@zerksez9963 stop saying i am an asian on every comment only the most stupid people brag about their knowledge

@@aayushswami3022 Is splitting something to brag about. I was just lettin them know how much better asians specially indian people are then them in calculating and yet we are not recognised so much. I don't think splitting is something to brag about. Even simple Calculus isn't, I don't know, maybe u should fix ur Preassumptions bout someone.

@@zerksez9963 bruh thats literally bragging be a little bit humble brother yes its a stereotype that indians are bad at everything but we dont need to prove it to anyone

Hi

@@alvinbowley4230 Hi.

@@RJ-sm2cg Math teachers arent there to teach the easy way, they are supposed to teach you so that you understand *why* the math works, if all they ever did was give you the formula that you plug things into, it would be pointless and you would leave the class having learned nothing

@@RJ-sm2cg Teacher is supposed to teach you how and why math works. You can find formulas in textbooks or on the internet, so there is no reason to memorize them. Btw everything up to 12th grade level is easy enough that if you take your time to understand it deeply, you won't have to know any formulas

@@TabbyVee You say that but were taught so many methods when we’re younger that we have to forget bc it was just an easy way of teaching.

this is the intuition for the AC method

But I thought most schools teach this

Really? They usually teach the AC method in Algebra 1

Can you explain how or why this works? Like, what's going on under the hood here, how would I ever know to do this?

@@astralbeatz9950 A self contradiction!

Too smart for me

yes, the middle term breaking

Yes ! It is how I learned it

THANK YOU SO MUCH

Yeah dont understand and im a junior in highschool with a math final tomorrow

BRO SAME. This is like genius!

i learned it when i first started to factor, however it doesn’t always work i don’t think. But completing the square is my go to

The fact that this is so much easier

Same 🤫🧏

your feelings are irrational

Yes. (Hint : Quadratic Formula. Do you see that the discriminants are equal ?)

@@donaldbiden7927 he doesn't want just this concrete equation. He wants to prove that the method works for every factorable quadratic equation.

He does it pretty similar to the way I know how.

Quadratic equation: ax^2 + bx + c Let 2 factors of a×c be p and q such that: p × q = ac p + q = b ax^2 + px + qx + c px(qx/c + 1) + c (qx/c + 1) (qx/c + 1)(px + c) (qx + c )(px + c)/c [qx/c + 1 = (qx + c)/c] Using blackpenredpen method: ax^2 + bx + c write as : x^2 + bx + ac Let two factors of a×c such that: p × q = a×c p+q = b Then: x^2 + px + qx + ac (x + p/a) (x + q/a) Put a = pq/c (x + cp/pq) (x + cq/pq) (x + c/q) (x + c/p) (qx + c ) (px + c) / pq (qx + c) (px + c) / ac ignoring a in denominator (As bprp does in last step) (qx + c) (px + c) / c sloppy ending but is this good enough?

@@LetsSink you are the mvp

Omg same it's also called middle term break in my area I learnt it in 7 grade

@@rc-shadow9691 are u from asia?

@@abd_sh_321 ye

@@rc-shadow9691 which country

I am from pakistan,we learnt it in 8th grade

you have all of that background information from the two weeks of class and this is one small, simple method of an entire family of concepts

bruh what my teacher explained it in 1 class and everyone understood

@@maxpie16 my teacher spent a whole month on matrices. im serious.

@@_quixotewhy though you can learn it in a few hours.

​@@maxpie16it depends on your teacher, mine barely teaches, she just did one class and assumes everyone understood, we always get 6-13 over 20 as our score because of that.

😮

Yep what's so interesting in that

Same here 😂

I came here looking for indian comments 😂😂

@Wayne Bhai yep man😂

@@anuragsinha3670 ah I see,a man of culture

Find 4 x -6 = -24 And then what two number you would add and get -5 and multiply them and get -24 -8 and 3 And boom 😎

Bruh as an Asian why this is in my text book that I'm just reading now.

😮

@@Animesh_Chaturvedi LoL f

are you a teen?

Same

Story of every indian

Does that means you do not know how to use the scientific calculator ?

Bro this looks good but is applicable always, huh?

@@Einstein_rocks yes, but of course when the numbers are very large like a * c is very large then it will be hard to find the factors

It's (4x+3), not (4x-3)

@@omarskigiza5289 oh yes youre right i misread the sign

how this work in 6a^2+13a+6😢

This was a 6th grade indian question 😂

We got this in 6th grade in India

Great. But can that make India a great nation? I think not 😅

I'm not Asian but I learned this in school I think everyone did except for Americans

What school did you go to, bruh 😂😂

Is it? Would be interesting to see how someone could prove this works

@@nikey2110 I probably wrote this while I was half asleep in the middle of the night, because this is definitely not Vieta's formula xD

At an adult store? 😭

I'd show her my thanks if i were you, if you know what i mean ;)

omg what

Lucky

Math really is hard 😂

Seems to me you need the help of a password manager.

@@Kettwiesel25 - Seems to me I need to embrace my inner Amishness 😆

now for a word from our sponsor

400,000 userids and passwords? what you do

400,000 userids and passwords? what you do

Yep, I’ve been doing this since 8th grade, but I also didn’t understand the method he was using at first. But I’ve never actually written a new polynomial for it so.

It’s splitting the middle but more complicated

well I discovered this method 3 years before this video so I am a better person than you

@@MrZootSuitz Well, bully for you. Your medal's in the mail.

what u mean bruh i am asian and i just got 2.7 in math😢

A good memories ! Oh yeah I also remember when I was small I was damn scared when I was instructed to sit between two girls. But after sometime we started eating lunch together, talking together. and solving some sum together and now sometimes it reminds of those days Those good days when we were just innocent kid

@@xninja2369 wow that was so cute and wholesome! 🥰

@@thebox7673 thanks bro Your one was wholesome too, Hope you would be doing great :)

thats a bad teacher. y'all shoulda not been threatened for doing things a different way just cuz teacher didn't understand it

@@OpLapDancePikachu69 agree you

Asslam o alikum. We need to find 2 values that multiply to -24 and add -5. 4x^²-8x+3x-6. So we use the grouping method. 4x(x-2)+3(x-2). So the answer is: (4x+3)(x-2). I think he did something similar to the grouping method.

Have a good day.

COOL! However, be sure to factor out any common factor first otherwise the common factor will dispear.

I remember doing the same back in grade school when trying to calculate the square root of numbers. I got really close to the real answers. I don’t remember the method too well anymore, but I saw a video on YT that looked like what I did. No genius here :|

From usual factorising method x²-5x-24 = x²+3x-8x-24 The rest should be obvious

Find 4 x -6 = -24 And then what two number you would add and get -5 and multiply them and get -24 -8 and 3 And boom 😎

Indians Rock 🤟🤟

Yeah 😄

@@chetanya_sharma yeah BOI it's taught in 8th class nowadays in India

@@aayushswami3022nope in 8th grade Shri dharcharya method is used to teach

I m indian too and the fact ppl here are considering it a different method shows that u guys rote memorize maths. This is not a new method it is basically saying that the constant is (a.b) and the middle term is -(a+b) in a general quadratic equation of the form (x-a)(x-b)=0 which is taught everywhere in the very first class of Quadratic equations. It is the simplest property of Quadratic equations. If u r calling it a new method and giving it an entirely different name like "middle term split method" that shows that u don't actually understand it in depth. For u it is a new trick for ur competitive exams. So come down off ur high horse.

That's some Sherlock level detection sh*t right there.

This is exactly how we do it here

@@fardiah- Good to know! Where are you from?

@@LuciferAmoyai Bangladesh. Gonna sit for my Mathemathics Alevels ( As ) this month. :)

@@fardiah- We are neighbors! Good luck for your exam bhai 💯

@@LuciferAmoyai dhonnobat ☺😇

Thank you so much❤😊 I don't understood 😉 the 😂method of the video🎥 but you made it😝 easier thank you❤🌹🙏 duo

@@simerpreetkaur7502 your welcome 🗿🚬

Thank you, we appreciate that you took the time to explain this to us all and it was very understandable.

@@Focusquick welcome

thx bro

This is called factorisation method. This is not a trick it's a proper method. Let's just take an example of a quadratic equation 3x^2+4x-4 In this equation the product of the coefficients of x^2 and constant is -12 so you have to make the factors of -12 suck that the sum of the factors will become the coefficient of x Here it is 6 and -2 Now we can also write the equation as 3x^2+(6-2)x-4 =3x^2+6x-2x-4 Now you have to take 3x common in first two terms and -2 in next two terms =3x(x+2)-2(x+2) Now just take x+2 as common You'll get (x+2)(3x-2) And these are the factors of the polynomial

Its too long

@@Ansh.S mate the calculator does it for you

@@netcald991 we can't use calculators all the time tho

@@Ansh.S you don’t?

​@Ansh.S but the quadratic equation is faster for most of the questions. You won't have to figure out what numbers add to give this particular result and what number multiply to give that particular reason.

That's just a way to think about it. It's just multiplication; then you divide by that original 4 in the end

The method is wrong. Just take the ex: 4x^2 -28x -32

Huh we called it middle term break....with some variations