It was lucky that 3x+1 was a common factor, presumably that was the key.
@Laptopsigmagamer
Жыл бұрын
Yeah otherwise we would have to the long ass method
@tarushiagarwal4276
Жыл бұрын
@@Laptopsigmagamer frrr
@shiizu.
11 ай бұрын
@@Laptopsigmagamer what method?
@tarushiagarwal4276
10 ай бұрын
@@shiizu. the remainder theorem
@tfg601
8 ай бұрын
@@tarushiagarwal4276no the dividing thing get one of the real roots then use synthetic division etc.
@grahamlyons8522
2 жыл бұрын
I doubt if that method applies to every third-degree polynomial.
@bloopletank2491
2 жыл бұрын
It doesn't. Only if the ratio between the first degree and the second degree is the same as the ratio between the third degree and the fourth degree.
@TheMartian11
2 жыл бұрын
There's a cubic formula but... Let's NOT get into it, you'll have nightmares.
@fatih3806
2 жыл бұрын
It doesn't
@fatih3806
2 жыл бұрын
Sometimes you need to do more than 5 grouping just to find few solutions
@InexorableVideos
2 жыл бұрын
There are lots of ways to do these. You can use the factor theorem and then polynomial long division, you can use the sum/product formulae for polynomials (sum of the roots of a cubic equal -b/a, product of the roots equal -d/a etc) and sometimes you can even use trigonometry. The cubic formula is only really used to completely brute force it if nothing else is working.
@ZxDON.
6 ай бұрын
Watching from India 🇮🇳
@abocado121
6 ай бұрын
Watching from south africa 🇿🇦
@AlphaSigmaGaming
6 ай бұрын
Watching from Pakistan
@ZxDON.
6 ай бұрын
This guy teaches better than our school teachers @@AlphaSigmaGaming
@learningmadeeasywithaadit3438
Ай бұрын
Me from india
@Cleaguegamer
6 күн бұрын
@@ZxDON.Real😢
@willbagthegreat
Жыл бұрын
I just learned this in algebra 2. Except unless it's a difference of two PERFECT squares we don't factor it more
@name2l
Жыл бұрын
That's what i thought too, but personally works for me bc i realise school could ask for me 3 factors and not just 2 anyways lol 😂 works in that case
@AmyAdachie-tz4mn
7 ай бұрын
Same but I learned in 7th honors algebra
@paulestrada961
3 ай бұрын
That makes no sense at all. I have no idea what your teachers are teaching you. A difference of two perfect squares almost screams to be simplified more. It leaves the final result in its most simplest form.
@abhishekjha3576
5 ай бұрын
I wish JEE, ISI, IOQM, VITEEE, NEST asks these type of questions.
@Tcfgty2345
5 ай бұрын
Bro 😂😂....
@adzhanoev1481
5 ай бұрын
EGE
@xyz-sm3sf
5 ай бұрын
Send it to NTA!
@debarjandatta2170
4 ай бұрын
AIR1 IITB CSE😂
@xyz-sm3sf
4 ай бұрын
Imagine AIR 247 reading this comment 🤣🤣
@dityashinde8263
Жыл бұрын
Your handwriting is good
@anmolnarayan214
6 ай бұрын
I hope these sums come to my Indian University exams 😂😂
@BISHTEDITZ0001
4 ай бұрын
Bro😂
@samiatabassum9463
2 ай бұрын
No one cares about your university
@anmolnarayan214
2 ай бұрын
@@samiatabassum9463 no one cares about your opinion either 😂
@samiatabassum9463
2 ай бұрын
@@anmolnarayan214 okay little minded hobgoblin
@BISHTEDITZ0001
2 ай бұрын
@@anmolnarayan214 yoo bro 💀💀💀
@chrstfer2452
Жыл бұрын
If youre gonna factor the x^2-5 you might as well pull a three out of 3x+1 so all the factors in parens are in terms of the roots of the polynomial
@yogeshyadav9706
Жыл бұрын
😊😊😊😊
@yogeshyadav9706
Жыл бұрын
😊
@sahinkhan-vo5hc
Ай бұрын
watching from Bangladesh 🇧🇩 ❤
@gnamp
Жыл бұрын
Polynomiuuuhhl. Tree treee treeeeee.
@JESUSISLORD.........
10 ай бұрын
And be not conformed to this world: but be ye transformed by the renewing of your mind, that ye may prove what is that good, and acceptable, and perfect, will of God. Romans 12:2 KJV Jesus saves..
@vedant--ff4025
Ай бұрын
💛Nice method 🧡💥💫
@karangujaran9899
4 ай бұрын
Best way to solve such questions is determine one root then use synthetic or long division to get rest of them Here -1/3 is a clear root as 3(-1/3)^3+(-1/3)^2-15(-1/3)-5 = 0 And then do synthetic division, Of main eq with (x+1/3) factor You get 3x^2-15=0 X = +√5, -√5, -1/3
@Alok_pratap_singh_Yadav9993
9 ай бұрын
Thank you bhaiya ❤
@_marukoy
2 жыл бұрын
Thanks!
@nirajbagde8958
2 жыл бұрын
Nice method dude Keep it up
@arjunmahato7593
10 ай бұрын
Nice explanation sir🎉
@mrsrenu9988
4 ай бұрын
Thanks dude 😎
@Kumari_Dipshikha33
Жыл бұрын
Thanks a lot ❤
@tubayildiztas1360
10 ай бұрын
Nice handwriting ❤
@blessly0882
8 ай бұрын
Incredible🔥
@user-us1qw7jp8q
Жыл бұрын
Wow what a good explanation 😮
@민둥맨둥
Ай бұрын
This is so helpful shorts.
@EmmsterGD
Жыл бұрын
This only works if it nicely factors. Otherwise its algebraic long division and guessing the initial root
@carultch
Жыл бұрын
There also is a cubic formula. As an example: x^3 - 9*x + 28 = 0 D = -9^3/27 + 28^2/4 = 169 x = cbrt(-28/2 + sqrt(169)) + cbrt(-28/2 - sqrt(169)) x = cbrt(-1) + cbrt(-27) x = -4
@bruhifysbackup
3 ай бұрын
@@carultch that's a depressed cubic.
@paulestrada961
3 ай бұрын
Grear explanation. This is a simple as it can get
@user-pp1ur2nf2y
11 ай бұрын
thankyousomuch! I was trying to solve question for hours and your this method just help me out thankyou
@Tarun-di1lq
2 ай бұрын
Bro you made me understand this shit thanks bri
@DeadShotX2
4 ай бұрын
When you know what’s 3x+1 really about
@unitedstatesofindia1460
5 ай бұрын
Meanwhile indians and South Koreans kids be like ..... Why he lifting pen for such an easy question
@RigoVids
6 ай бұрын
You can already see that this is one of the easier to factor 3rd degree polynomials
@navaneethsivaelango3100
10 ай бұрын
Very very thanks. I was struggling in this problem but your solution gave me an idea about this. Thank you once again. 😊😊😊😊😊😊❤❤❤❤❤❤
@LawrGmD
2 ай бұрын
I had a mini heart attack when I heard "3x+1"
@grafianantook9937
7 ай бұрын
Thanks you have made my doubt a huge doubt
@vaccino3359
Ай бұрын
We can also factor (x - _/5) into (_/x + 5^¼) (_/x - 5^¼). Should it be done? No.
@alirezapouladkhan7291
2 жыл бұрын
Amazing 👍
@AlexD02721
12 күн бұрын
Why don’t we stop at x^2 - 5? I don’t usually see irrationals in factors; or complex numbers either. But this method does help in identifying the roots without needing the quadratic formula.
@jovx7
6 ай бұрын
sometimes this method is just confusing so better do synthetic division.
@kiddflxcko2439
3 ай бұрын
Bro just showed me how to solve my calculus problems in a simple manner without banging my head against the wall, I appreciate it🐧
@indumoriya8217
Жыл бұрын
no bro , this method are apply in only few questions but not in all questions lik3 ::-- x^3-3x^2-9x-5 and many more........
@aisha541
6 ай бұрын
How do we do these types please
@De1shAPS
5 ай бұрын
Thank you sir❤ - FROM INDIA
@ArvindTiwari22
6 ай бұрын
Nice 👍
@FERMANMALINGIHARABE
2 ай бұрын
It's an amazing method to solve the problen
@Mecha_Math
Ай бұрын
Excellent
@user-zv2pi4rk4x
9 ай бұрын
thanks i need this so much thanks
@Study.with.me..
5 ай бұрын
After 12 hours of work, six hours of derivative exercises in math... I can tell you that my brain is now broken lol
@gregnixon1296
7 ай бұрын
To teach the method, you have to card stack by creating a workable polynomial before you turn the camera on. 😅
@almostanijjony9545
8 ай бұрын
Thank you ❤
@roniganot
5 ай бұрын
Can you also solve it by using Bézout's theorem?
@dhruvaneja8987
2 ай бұрын
Ans:(x²-5)(3x+1)
@sldarwin5615
7 ай бұрын
Man everytime I see these, it looks like gibberish. But as he starts working them out, I begin to remember doing this shit in hs lmao
@KnowledgeableLatterDaySaint
7 күн бұрын
Where did you get the one from?
@mrautismo420
10 ай бұрын
Mf taught me more than math teacher in 20 seconds
@aliosama4873
8 ай бұрын
that's wrong , it's just a designed example to get (x+3) a common factor
@siema14123
6 ай бұрын
You learn math mostly by doing exercises yourself, not from listening to others
@Kàrtik21140
6 ай бұрын
In my country INDIA it is middle term split bro .
@himaniarya4314
5 ай бұрын
No in india this is not called middle term split it is called common method only . Though for cubic polynomials we use middle term splitting but this solution is by common method . In middle term splitting we do something different.
@manojr918
Жыл бұрын
I am glad to find a very good explanation video 🤩🤩 Thanks!!!!
@SaranshBhardwaje-mc2
Ай бұрын
Thank you🙏💕❤
@okaythankss
7 күн бұрын
Polynomialllll😮
@vikashyadav4676
29 күн бұрын
Best way
@kshitijkrshukla
6 ай бұрын
Lol, maths be like- u can't make fun of me
@Vaishvikfitness
11 ай бұрын
Bro wrote the best root sign
@user-uh5te6wn1m
Жыл бұрын
thanks bro
@kalpajitnath_the_artist
5 ай бұрын
Thank you sir
@user-cq6sp2qx1o
Ай бұрын
X^3-8x^2+4x+48=0
@user-ir1qo5qz8e
8 ай бұрын
Nice
@reddragon5483
2 жыл бұрын
Only part I don’t understand is can you really do difference of squares if y in this case is not squared in the actual formula or does it not matter. Oh i see basically no matter what I guess you have to take the square root of what’s in those parentheses.
@tathagataguha6206
6 ай бұрын
It all went to shit when they introduced Alphabets to math...
@MeowMeow-he2yk
7 ай бұрын
What if the last two parts diesnt even match up
@IncendiaHL
Жыл бұрын
powlyNOOMyoooll
@shoshosalah3447
Жыл бұрын
(3x+1)(x^2-5)=(3x+1)(x-√5)(x+√5)
@hiltonavis3795
5 ай бұрын
thank you
@reshusaroj6084
Жыл бұрын
not working 🙄
@canicesimpson2006
6 ай бұрын
Factoring by grouping method
@ayadyassin2490
Жыл бұрын
Perfect
@prashantkaria2374
Жыл бұрын
🎉 good sir
@myztake
5 ай бұрын
Don't you need both terms in the binomial to have a square root non-involving decimals for it to be a perfect square?
@AlphaXeed
Жыл бұрын
Maza a gyoo
@KB-BK9
6 ай бұрын
just use foil..
@deepakyashkumar1296
Жыл бұрын
thanks
@gavinpalmer9174
7 ай бұрын
My teacher would have deducted points, as 5 is not a perfect square.
@getnie6867
7 ай бұрын
That`s bs, technically any number in existence is a square of another number so that is correct
@siema14123
6 ай бұрын
You never leave the answer as a perfect square though
@riptechnoblade2762
Жыл бұрын
We are studying it in class 8th of India
@aviyadav3165
9 ай бұрын
Factorization is one of the most easiest chapter ever
@user-ef4we6xt7d
Жыл бұрын
I never learned to do that
@TokoToko-gr5jn
Жыл бұрын
Hey man try to be patient
@user-ow7lc6tt3o
7 ай бұрын
I don’t fully understand still 😢
@jakecathey7061
6 ай бұрын
I wanna kiss this guy that was helpful
@spacetasticadi6103
6 ай бұрын
Just use factor theorem
@jdjdhhwj354
10 ай бұрын
Math 😩❤️❤️
@ricofarrari1346
6 ай бұрын
Why do people make it more complicated than it has to be?
@user-zl2lr6is4f
5 ай бұрын
Hi , how do you do x^2-9x+18
@paulestrada961
3 ай бұрын
(X-3)(X-6) Multiply it out and you get X^2-9X+18 There is a nice method called the ac method from some textbooks which motivates you to factor by grouping. ax^2+bx+c is a general form of 2nd degree polynomials where a,b, and c are real numbers, otherwise known as coefficients. Look at the factors of a and c multiplied together Which is 1*18=18 where a=1 and c =18 From here, choose from the factors of a*c=18 and find the factors that add up to the middle coefficient b=-9 The factors to choose are -3 and -6 because (-6)*(-3)=18 and (-6)+(-3)= -9 From here, you can rewrite x^2-9x+18 as x^2 - 6x - 3x + 18 and can factor by grouping as this video shows. Hope this helps
@ElijahJjuuko-ep4eh
2 ай бұрын
Where did the 3x∆3 go to
@user-wn2eg6me4j
6 ай бұрын
it was very easy
@AnkitChhetri-zi7jn
4 ай бұрын
99% Indian students 😂
@radiyavijiradiyaviji5436
Жыл бұрын
You don't want to put these many steps here😂
@user-ze2ut8bq5l
3 ай бұрын
This is basic 9th grade question.
@KulwinderKaur-zo9gn
7 ай бұрын
If it is a factor theorom?
@popcria
Ай бұрын
You really need that √5?
@rajveerkhose113
10 ай бұрын
👌👍👍
@Mary-j3u
25 күн бұрын
Please help me with matrix 2by 2
@sumima8766
Жыл бұрын
Sir for me exam sir please say sir like that sum sir
@shreyasas944
7 ай бұрын
Simple
@angelinagardiner778
5 ай бұрын
This is the easiest thing ever.
@abhishekjha3576
4 ай бұрын
Side effect of not studying maths in India 🤣🤣 that's why he is solving these types of question on KZitem! But don't worry i will ask CBSE to allow you to become student of class X .
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