How to Solve Advanced Cubic Equations: Step-by-Step Tutorial

[@rickykurosawa5662]

Thanks, this is really very helpful..continue your good work. Cheers! ❤

[@PreMath]

You're very welcome, Ŕicky Kurosawa. Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Best regards :)

[@aashsyed1277]

what if our equation is not factorable?

[@Sandeepyadav2k2]

ya😄

[@jokarmaths7771]

amazing ..kzbin.info/www/bejne/gJXcfqSjo7x9n5o

[@arjuncjayan912]

Ysss

[@piyushpriyadarshandas5630]

Any bodies here after facing problem in finding characteristics equation for eigen vector

[@ganeshshankarchaurasiya2414]

yeah

[@habeebi7303]

Yes😅

[@yashigupta4689]

Yeah!! 😅

[@krishnathombre7946]

Kaise pata bhai🤩🤩

[@piyushpriyadarshandas5630]

@@krishnathombre7946 😎😎😎guess

[@bmariani52]

One of the clearest snd cleanesr solutions to a cubic equation. This will make solving eigenvalues and eigenvectors easier.

[@Jasmine-1820]

Who is here after facing problems in eigen value roots

[@Phantom_delux590]

Me😂

[@shivamsaw3088]

😂😂

[@HamnaBaloch220]

me 😅

[@tumelosegano5729]

Bruuuuuuuuh

[@arulbalasachin2005]

Myself 😭

[@jungwon_luv-152]

i cnt believe i can find a 11min vid clearing up all my doubts when an hour long lesson in my sch just leaves me ???? thanks for this :))

[@Max-yt7te]

What just happened that was such a good explanation video idk why but I felt so much smarter. You're really good at this, keep it up :D

[@Adix_Null]

With quadratic equations if you put in anything as A B and C you'll get a simple answer. In cubic equations only a fraction of equations are simple, most are very long

[@FactsSpeakerr]

Simply put x=1 or -1 and check whether it is equal to 0 or not. That little complicated stuff you showed for checking x=1,-1 came from the same logic but the former idea doesn't need anything to be to be memorized. Thanks for a good explanation in other cases. Liked it.

[@sgm9420]

It was really very helpful Sir.....I was searching for the video in which for the equation whose x^3 coefficient is not '1'......here I found......Your professional students are very luck.

[@ahmadmalik3298]

You’re an absolute legend sir, I’m cramming one day before my exams and these tips are so useful sir thank you so much for taking the time and effort to make this video ❤️❤️

[@PreMath]

You're very welcome Malik Saab! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Kind regards :)

[@jokarmaths7771]

amazing ...kzbin.info/www/bejne/gJXcfqSjo7x9n5o

[@liyahyus]

thank you so much for this 🥺 we learnt this during online school and i didn’t understand a thing 😭 i feel more prepared for my test tomorrow thank youu 🤩

[@shobhasrivastava3177]

Same

[@PreMath]

You are very welcome Aaliya! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@Zinab642]

Well done our society needs more content like this😊

[@PreMath]

Thank you so much Aisha for your continued love and support. Take care dear and stay blessed😃 Keep smiling😊 Enjoy every moment of your life 🌻 Jazakallah!

[@bharatsharma9907]

Most of you are here for eigen vectors

[@musicvideo.66]

True

[@Adarsh-singh88]

One of the clearest and cleaner solution on whole yt .. thanks a lot sir Everyone tells put 1,-1,0,2,-2etc but no one tells this method 😮

[@bishal_bhattaraivlog8336]

Finally i found a better way of solving step 👌🏻👌🏻👌🏻

[@kesabkirannandy5663]

U also study? 😂😂😂 I thought u r a big mesy 😂😂😂😂

[@syahandholder]

this is the only helpful video out there on cubic polynomials, i appreciate this so much !!

[@vinuthagc9900]

Thank u so much . It was very helpful and I was searching for this kind of teaching . l'm happy that I finally found it 😇

[@PreMath]

You are very welcome Vinutha! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and stay blessed and healthy😃 Keep smiling😃

[@leonidasdelossantos3434]

Hello, great video. Those rules you mentioned to find if x = -1, 1 are the solutions, where can I read about it?

[@destinysilas8489]

God bless you very much, you're a genius. I finally found a lingering solutions to my eigenvalues characteristic determinant.

[@PreMath]

So nice of you, dear Thank you! Cheers! 😀

[@destinysilas8489]

@@PreMath I wish you show a lesson too, about vector spaces. And also there're some of the equations I have that are not factorising.

[@johntsui4065]

Thank you,in Hong Kong,they did not teach us those interesting properties,and just teach us to aim higher marks

[@jonathan3488]

Thanks for this. I've been working on a new math module and this gave me a really solid start at solving polynomial equations, as these techniques were easy to implement.

[@PreMath]

Glad to hear that Jonathan! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and all the best😃

[@jonathan3488]

@@PreMath Thank you!

[@jokarmaths7771]

amazing ...kzbin.info/www/bejne/gJXcfqSjo7x9n5o

[@Yjunction0]

Thank you sir❤❤❤❤ It is so helpfull in my jee preparation❤❤

[@zc2361]

thankyou so much, you are better than my teacher.

[@PreMath]

Dear sun flower, you are very welcome. Thank you so much for taking the time to leave this comment. I'm glad you liked the vid. Your feedback is always appreciated. Keep it up. Kind regards :)

[@p.k.kumari3493]

thanks

[@hawardteo2233]

This thing was so helpful, it deserved my like and subscribe

[@sumitnagar8367]

This what I want ....Lots of thanks & respect

[@PreMath]

You're very welcome! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Take care😃

[@_vikram_singh_6345]

U are from which country sir ? U speak english clearly.

[@porterwake3898]

2 divided by 6 is 3! Brilliant!!!!!!

[@rohtashkumar7185]

0:46 ambulance!!!!

[@aishwary2047]

Lmao, you listening that sound 😁😁😁,instead of this

[@otsogileonalepelo9610]

😂😂😂😂 I just couldn't ignore it either 😑

[@samialboksh4544]

Are bhai bhai bhai 😂😂🥴

[@PreMath]

Wow! you are cool! Thanks for watching. Kind regards 😊

[@ProfKDAnwar]

kzbin.info/www/bejne/eZjGdniHftGjg80

[@Jecoliahh]

Thank you very much sir. This is really helpful. Just keep up making this kinds of helpful videos.

[@lazybacon5282]

Really easy to understand sir!

[@sudarshanbaurai5326]

You are a wonderful teacher and doing best to create good human resource.

[@krish11984]

Thanks! And please make a video on trigonometric identities.

[@PreMath]

You are very welcome! I've already made few videos on trig. Please search videos in my channel. If you want me to make videos on specific questions, please send it on my email: [e-mail] Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear and all the best 😃

[@nemenems.mp3]

this is so helpful, thank you sir! gonna pass my test now

[@ashleshapatil640]

For x= -1 can we have same sum of alternate coefficient but opposite signs?

[@oladimejiopeyemi7433]

What if it has a negative remainder using the synthetic division? What to do sir?

[@leeban8777]

Hi can we be friends please ☺

[@flash_434]

Thank you so much

[@PreMath]

You are very welcome Flash! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@flash_434]

@@PreMath aww... Your complement made my day ☺☺

[@MathLab4u]

We solve as math teachers cubics as well You might look at some examples kzbin.info/www/bejne/n6PGi5KDZtJmf5o

[@MathLab4u]

Yes absolutely

[@mery3291]

thank u tecaher from morocoo (north of africa) i find this video really interesting and it really helped me a lot ♥

[@PreMath]

You are very welcome Mery from beautiful Morocco! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃 Keep smiling😊

[@pharikrishna789]

Rabat

[@butterfly99899]

Thanxxx a lot 😊😊😊 It really helped me a lot I shared the concept amongst my frnds & they were quite surprised that I am studying these days 😂😂😂😂

[@PreMath]

You're very welcome Arpita! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear 😃

[@mightymagnus-m4n]

At 1:30, to solve a cubic equation, why is it that if the sum of all coefficients sum to 0, 1 is always a solution?

[@Duckeii]

if u plug in x for 1 into the equation, it equals 0

[@mightymagnus-m4n]

@@Duckeiigot it! Thank you so much!

[@yoshimoshi8065]

this is incredible, im speechless

[@aditya.btiwari808]

i think this the best video ever made on cubic . thank u sir

[@lawlietryuzaki7704]

guys this guy is legit doing it the wrong way it's like a really basic thing we can simply differentiate this equation and then with the gradient solve it for x and y...

[@ShreeHarivansh599]

Ram ram sitaram sitaram radhe radhe Krishna Krishna ji ki jai ♥ 🙏

[@paisavasool4635]

thank you so much sir you have tought me this solution....

[@PreMath]

You are very welcome dear! You are awesome 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and all the best😃

[@raghupathim5259]

It's a very good explanation, I understood very much

[@PreMath]

Glad to hear that Raghupathi! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@raghupathim5259]

@@PreMath thank you

[@jiege02]

Thanks for giving such easy and simple way to solve this! The way that taught from book which is LONG DIVISION are too complicated tho

[@PreMath]

You are very welcome! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear and all the best 😃

[@SNTz55]

Thanks, I've been trying to solve the cubic for so long, and this video helped me a lot. Thanks again.

[@devdattsonkusare]

Thanks for the video, it is really very helpful.

[@PreMath]

You are very welcome Devdatt! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃 1

[@prabhavathi1899]

Ur Explaination is just awesome

[@khatariinsaan5284]

You are Awesome Sir !!

[@PreMath]

So nice of you dear! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and all the best😃 Have a very happy and blessed New Year!

[@eqqq6815]

when the maths tutorials so good you start crying tears of joy

[@shortsbyA1Gaming]

Who is here after bsc 🤣

[@محمدالعجيري-ر5م]

08:00 I didn't get the next factorization process

[@محمدالعجيري-ر5م]

Nevermind i got it

[@PreMath]

I'm glad you got it! Muhammed, I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and all the best😃 Have a very happy and blessed New Year!

[@محمدالعجيري-ر5م]

@@PreMath Thank you sir you too

[@amywaweru5584]

Thank you so much your such a great teacher this really helped me keep on going!

[@PreMath]

You are very welcome Amy! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@_AadiDevSharma]

Very very very helpful..greal work..👍👍👊👊👊

[@AndrewWhise]

Worked so far! But what do I do if my coefficients are fractions?

[@PreMath]

In that case, remove fractions first by find the LCD (LCM). Thanks Andrew for asking. I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and all the best😃

[@maysounhejazy7056]

Can I ask about the graphic tablet and the application which you use

[@skills2580]

It was awesome. It helped me a lot. ✌✌

[@PreMath]

Thank you so much Harsh ji for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@Sohamkhule-sk]

Thank you so much sir l am yours big fan sir from now.

[@PreMath]

You are very welcome! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@vi2768]

Thank you so much for this!! It was so helpful ^^

[@livetodraw5939]

When you were listing the divisors of P and Q, were those the factors of P and Q? Thank you.

[@sainandhana8828]

Hi! Is there an easier way to find the solutions, since it might take a lot of time during exams to solve all the options. But anyways great video! You helped me a lot

[@butterfly99899]

Explain that easier way

[@sainandhana8828]

@@butterfly99899 that's what I am asking

[@OmarStark421]

@@sainandhana8828 JUST USE ANY SCIENTIFIC CALCULATOR

[@richardparcellano899]

Is step 2 still applicable when sums the same number "48" but has different signs? For example, 48 and -48.

[@livetodraw5939]

Maybe you can substitute for x and see if x = -1

[@tejasreep-dl3bu]

For eigen vector comments 😂😂😂😂😂😂

[@JohnsonKE]

😂🎉

[@gagandeepkumar5623]

Yes

[@poornimasapna3324]

😅

[@robert8552]

What free graphing software do you recommend?

[@Gabs2345]

Very useful video and succinct tutorial. Thank you for this, cheers!

[@reaganati3986]

wtf gabs gamers dont do math

[@codingcanchangeyourlife]

Does this work for all cubic equations

[@timeonly1401]

The check by comparing the sum of the roots against -B/A is going to come in handy! Thx!! Quick Question: Does this answer check work when there are 1 real root and 2 complex roots?

[@Gabriel-je2tw]

THANKS FOR YOUR HELP! ❤ LOVE FROM BANGALORE! 🗣

[@zaidsserubogo261]

For sure time is delayed in in certain intervals, but given consistent and smooth paths, time moves in polynomial steps

[@keziahembang3531]

This video really helpful Sir! Thanks a lot

[@PreMath]

Glad to hear that! Thanks for your feedback! Cheers! You are awesome, Keziah. Keep it up 👍 Love and prayers from the USA! 😀 Stay blessed 😀

[@motionkings]

Thanks for making it even more confusing

[@jeeruajay2111]

Very nice explanation 👌

[@PreMath]

Thank you so much Jeeru Ajay for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@jeeruajay2111]

@@PreMath sure definitely I will share it... We need teachers like yours..

[@lakshitapoonia9174]

Thank you 😊 sir, it helped me a lot .Now I know the best way to solve these type of questions

[@_sifar]

thank you so much sir!! Jesus bless you and your family always!

[@HeyKevinYT]

I love the Rational Roots Theorem

[@PreMath]

Thank you so much Kevin for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear and all the best 😃

[@mathfromtheheart]

Thank you so much for sharing this 🙏🏼I wish you get more and more subscribers ♥️

[@PreMath]

So nice of you dear! Take care dear and stay blessed😃 Stay connected!

[@nr6728]

That was awsome thank you

[@PreMath]

You are very welcome dear! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@nr6728]

@@PreMath Your command is my wish i would share your videos as much as possible ❤

[@PreMath]

@@nr6728 Thanks dear. You are awesome. Stay blessed 😃

[@bhairavirajesh5453]

Sir thank you very much to give a deeper idea

[@PreMath]

Most welcome, dear

[@Goingtomarsland]

Thanks it was helpful

[@PreMath]

Thanks Bir Amrit Singh for the feedback. Please share my channel with friends as well. Kind regards :)

[@chinthalachandrashekarredd2044]

What if roots are in fraction...for example can anyone solve this equation 2x^3+9x^2+12x+8

[@chinthalachandrashekarredd2044]

The roots are -2.91 and -0.79+j0.86 and -0.79-j0.86

[@chinthalachandrashekarredd2044]

If anyone knows how to solve this.. please share with me...

[@kailenmissen4465]

Thanks so much this was incredibly helpful, so clear and straightforward!

[@PreMath]

You are very welcome Kailen! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@aditya.btiwari808]

@PreMath plz tell what to domif the D=1

[@hejda4101]

I miss 5th grade when I thought a+b=c Lmao

[@PreMath]

Take care dear and all the best😃

[@n0thing-h6s]

Not applicable for all regular cubic equation😥

[@Bossdog924]

omg thank you for this example only one i could find with everything i needed to studuy

[@mercynthenya792]

This is helpful...it has really helped me

[@jayjain4341]

can I have a solution of this equation from the same solution-: z^3-5z^2+7z+21=0 thank u!

[@jayjain4341]

Popular Power thnx bro but I need full solution from that method

[@leaveitblank2625]

Its your school homework ?😂😂

[@jayjain4341]

@@leaveitblank2625 bro this thing is not present at school level.

[@leaveitblank2625]

@@jayjain4341 oh?well it's not too hard to solve anyway or you can use online solving website if you want some complex solution 😁 .

[@jayjain4341]

@@leaveitblank2625 I did it....that's why I came to this video but can't find its answer by this method that's why I asked!

[@rajeeshkumar.r7240]

Sir it was very useful...... Thank u 🌹❤ sir...... Keep doing it..☺☺☺........ Good mode of teaching........ 👍👍👍👍

[@PreMath]

You are very welcome Rajeesh! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Have a very happy and blessed New Year! Keep smiling😊

[@ashishdeshlahra00]

Nice....but it's a time taking procedure

[@gabrielsanya5511]

This is very important to me best work

[@kuldeepsinghjassal5185]

0.011x³+2.355x²-729.167=0 Plz solve this

[@manojkantsamal4945]

In case of cubic equation point of view, At first one of the root should be obtained by applying "hit & trail method "(Although it needs some simplification in some cases ), Then other roots may come out by deviding the first root (suppose the first root is 7, then you have to devide the given equation by x-7), then move on (personal opinion )

[@krishnasingh5190]

He was even slower then sloth 🤣🤣😂😂🤣🤣

[@bijaylaxmipradhan4786]

It's really very very helpful..thank you

[@25-parveen6]

Thanks sir

[@PreMath]

Dear Parveen Kachura , you are very welcome. Thank you so much for taking the time to leave this comment. I'm glad you liked the vid. Your feedback is always appreciated. Keep it up. Kind regards :)

[@mohanramachandran4550]

Excellent solutions Essy to understand for students Thanks a lot.

[@MrBurninCross]

Glad I wasn't stuck with someone like him,....

[@safwan7346]

This is such a good method. Thank u so much😊

[@legender576]

What if roots are irrational

[@PreMath]

You are very welcome Safwan! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear and stay safe😃

[@hardeepkaur3983]

Thankyou sir fo making this video .....I really needed this .....👌👍☺️

[@PreMath]

You are very welcome Hardeep Kaur! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear and all the best 😃

[@venominogaming2840]

Normally putting x=2 in the equation will be quite easier than synthetic division.