Factorising cubic functions: The kx method

[@emmanuelchichichi8291]

Dude!!! I been looking for this method for so long.

[@kittycatcrunchie]

Thank you so much! I wasn't listening in AP Maths when my teacher explained this because I usually use synthetic division, so I'm super grateful that you explained this! :DDD

[@domjones3840]

I was surprised when this worked out. Thanks for this!

[@aldritzbryancabrera9752]

Nice! We are already discussing it in integral - partial fraction, yet I do not know what this method is called. Thankfully, you are here!

[@Josh-mw6vx]

Wow u really saved my life all the other videos are with these quick methods and not all examining bodies recognize those

[@loveofaflower5486]

Oh my gosh- you are so good at explaining and teaching ahhhh!! I love you so much!!! Thank you for this

[@great9640]

easiest and simplest method there is. everyone like this vid so more people will see this easy af method

[@seekpeace494]

Thank you so much. This video is quite useful. To me it wasn't hard to understand. But I believe it would be better if some steps were explained more in detail for those who need extra support in the basics of math.

[@techbeastt]

You made the bridge to overcome the problem 🙏

[@EmpyreanLightASMR]

this is almost asmr to listen to 😂 I wanted to remember how to factor a fifth degree polynomial by hand and this was the last step... and a cool additional technique to the synth division.

[@sibongilemakhanya5155]

But I love how he says we can just guess 😍🙌😊

[@conorfarrell8415]

Use the function feature in your calculator to find the roots

[@ishitagupta5317]

@@conorfarrell8415 ty for this info but the feature of function is not in all calculator of devices.

[@itsishraq3303]

never seen such godly sculptured hands

[@JustFeeshy]

You're amazing! This simple out-of-the-box thinking is insane!!

[@Mathematical-Mind]

Still a bit confused on the part where he found what k equaled to

[@JustFeeshy]

@@Mathematical-Mind I assumed that they took the number of nonpowered x (Including kx as k is a yet figured-out number) and used it to find k because k needs to be figured out

[@JustFeeshy]

@@Mathematical-Mind If you take out x from kx, you get k so if you do the same for others you start building a simple algebraic equation

[@dikshasingh9420]

This video helped me a lot ✨ thank you sir for your efforts💯👍

[@jjj-g5]

can someone help me clarify why do you only use (x-1)?

[@samplevideoes3405]

What if the values for K is different for x and x² ? Suppose x³ - 6x² + 9x for factorising. If that polynomial = 0 than the values for K comes 0 and 17/2 respectively. So I put both and try to confirm?

[@golddddus]

1 0 -4 3 Synthetic division is the shortest way. 1 1 1 -3 1 1 -3 0 (x-1)(x^2+x-3)=0

[@navarrocarljericcabigon7787]

Thankk youuu this video is what i looking forrr thank you bro keep it up!!!

[@ahmedghadhi07]

But finally you have not solved the equation : x^3 - 4x^2 - 2x - 8 =0 , why ??

[@123rockstar2010]

Shortcut to K: ax^3 + bx^2 + cx + d =0 If the root is positive, -[ c + d*(root) ] =K If the root is negative, c - d*(root) =K If the root is positive/negative, b + a*(root) =K

[@blackeminem1293]

Thanks man 👍

[@ishitagupta5317]

How to guess abt the nature of roots 🙄

[@JungKookOfficiaI]

omg thank YOU

[@JungKookOfficiaI]

wait no, this is completely incorrect. This doesn’t always work. Smh

[@123rockstar2010]

@@JungKookOfficiaITry this new method: k = [(d/-root)-c]/root Example: 2x³+x²-13x+6=0 a=2 b=1 c=-13 d=6 By trial and error: ROOT=-3, so: k=[(6/3)-(-13)] / (-3) k=5

[@tharushadakshaka166]

It was very helpfull. Thank you, greate job dear 👍

[@viveknaithani]

This video was very helpful for me to understand in a better way!

[@muhammadsaqib3752]

very well explained step by step

[@erchguyj1234]

What if there's no x term? What if it's an expression like 102x³+30x²-450=0

[@raiylynmitchell5892]

that's not a cubic polynomial function that's trinomial algebra. (correct me if i'm wrong)

[@christinepillay6860]

BEST EXPLANATION I'VE FOUND !!! THANK YOU😁

[@IASSMRUTI]

Thank you, it's really clear my doubts.

[@danielchung0228]

what was the point of assuming at the start? You can't just assume a number and get an answer

[@eveshrajman2737]

Hi Daniel. For a polynomial with the highest power of x being 3, there are a maximum of 3 x intercepts (there are sometimes less). Unfortunately, we do not have a way to solve for all 3. There are only methods of solving for 2 of the 3, which is why we have to guess 1 of the 3 at the start. The other method shown on the channel also requires the first x intercept to be guessed.

[@endru8]

​@@eveshrajman2737cubic formula or double substitution?

[@samkelosheperd7534]

So much productive keep the good work

[@indeceentertainment7156]

After the kx it should be positive 3 not negative 3.. 1 will divide 3 not -2... solving it with a calculator your signs interchanged comparing it to the calculators answer..

[@artworld31]

Thank you 😊😊😊 for this video

[@hashim5395]

thanks bro saved my grades

[@abrajanoreymond3064]

I like the way you write the x

[@manasthapa6917]

Thanks bro for this trick❤

[@mbalinhlabathi620]

Thank you so much, this was extremely helpful 🙏

[@hustlekaro1557]

Osm buddy👍👍👍

[@mikehenry2742]

Why did he change the problem .....and not ise the one that was first on the screen...??

[@Arb294]

Ooo now i understand comparing coefficients ty!

[@chocolateangel8743]

Once you have one root (and thus a factor), it's simpler to just divide.

[@JungKookOfficiaI]

division takes more time, kx method will solve this in 5 seconds

[@endru8]

synthetic division is easier and faster

[@chocolateangel8743]

@@endru8 Synthetic division is only easier in certain circumstances. I don't care for it that much because I don't understand it as well as I do other methods.

[@jaredngota1528]

Is understandable but the screen writings prevent us from seeing the writings

[@prakashsuthar7526]

If there is one in the place of 3

[@mgcinumuzincube8310]

Thank you so much. Well explained

[@wilsonybiernaslll2999]

Thank you man, really helped me

[@Nxxchll214]

Bro thank you soo muchh❤

[@rushabhsolankkii]

Thank you so much brother it means a lot for us

[@hashirraza5308]

Very helpful bro 💗🤝

[@sarataib513.02]

I want help solving this ((-2x^4)+x^3 _3x _1)^3 please 🥺

[@rahulwani9198]

Thank you very much 😊

[@michibinyamin]

You are the best.

[@francescoapg]

Thank you very much, sir

[@housseinnefzi5310]

i thought kx refers to quiquest

[@joyrajpaul4314]

Thanks bro❤

[@dana9796]

10 minutes to do just this? Good luck on a test.

[@eveshrajman2737]

Hi Danial. If you have a calculator that has a table mode then you can guess all integers between - 5 and 5 while only inserting the function into your calculator once. After you have a factor then this method can be done quite quickly. I hope this helps.

[@sibongilemakhanya5155]

🤣🤣🤣🤣🤣🤣🤣🤣🤣🤣🤣🤣

[@sifisoxulu7739]

😂😂😂😂😂😂😂

[@shyambaba137]

x^3+x+1 iska solution batao

[@AbdAlrahman_AbdAlRaheem]

Wonderful, thanks mate.❤️❤️❤️

[@sushilsumanjena2682]

Very helpful, thanks a lot 🙏🙏

[@Circa1628]

Wait ?! Wait?! his first step was guess what would =0. How is that a step? Guess?!!

[@suyashkhobragade401]

Your indian ,why this accent? Views? Bhai tune bagvan ka rasi banda hai right hand meh Edit : minus not negetive, I can bet your indian haha, bhai kajab accent banaya,aabhi kya scam company meh kam karte ho 😂😂 jokingly. Edit 2: I don't know if you would read this, 4yrs huh..,I didn't find this kind of video in whole KZbin. Their are cubic equations to factorise but all factorise it to =0 putting values for x. I have the equation without getting factorised,and was searching for this in KZbin for 1/1/2 hrs. Thank you so much for clearing my doubt.❤️

[@zx6506]

Thank you teacher

[@IqbalHamid]

Here is how to not guess the GCF: kzbin.info/www/bejne/rIaxmJaEa7KVoKM

[@avishkarajman5517]

Great Video! Really helpful.

[@bridgethegapmath7576]

Hi Avishka. Glad it helped! Check out any of my math videos for more help. Or let me know what you would like me to do a video on!

[@khanabdul819]

Excellent.

[@soungji2529]

It is so difficult !

[@KennedyMugambi-uv2zf]

You solved it, but you were a bit too slow. Could have made it a 3-minute video

[@mrnoonealrokaoka]

Thanks a lot

[@sunidhimathur9624]

It takes more time

[@epikman7073]

Thank you so much

[@hafizab4717]

Thank u sir

[@ishitagupta5317]

ty ♡

[@pyronsue7592]

Thank you

[@zoljol]

Helped out, thanks

[@aryangarg5912]

I couldn't understand

[@geetaazad7028]

Thanks🙏🙇

[@giwrgoscy294]

Thanks moooom!

[@cuongtu6088]

verry good

[@jaylordalmighty4018]

Too long...

[@unknown-mn9wo]

thank you so much!!

[@vinodkapoor2910]

Thanks man . This really helped. Can you solve this for me X^2-3=0

[@ruidesu3986]

i was about to like ur vid, but then i realised u are making this much complicated. so no, i won't give my thumbs up

[@yedukrishna6603]

Indian ?

[@Urmiladevi-z7w]

😂😂😂😂😂😂😂

[@colbyclewis8141]

Who the hell draws x’s like that lmao

[@tamsolo5663]

Awe!

[@edmetpassion8156]

👍👍👍

[@tajamulsir9620]

Good work #TajamulSir

[@masteroogwayisntdead__1814]

Thank you so much man love ya no homo

[@andrewvictor1489]

The best video ever

[@ZaraKhan-h4u]

You should have to learn how to teach or speak....It looks like you teach yourself...🙄😡

[@harshittaneja6423]

Kya mazak h..

[@biharigaming8016]

Time waste

[@tajamulsir9620]

may see also#TajamulSir

[@ShivGamer]

its completely trash absolute wsate of time please look into the video and get it removedd .....

[@eveshrajman2737]

I am sorry you feel that way. This method might not be the best one for your syllabus. It is a requirement in some parts of the world.

[@ishitagupta5317]

@@eveshrajman2737 I totally agree! I was so much frustrated by finding method to solve equations which don't have the term of x^2 and now I finally got here.. I want to say a huge thanks to the creator of this video heartly!! thank you so much!

[@conzopontsho3253]

You are talking too much

[@Mariatyra]

I don’t know about anyone else but the way he writes his X’s bother me !!!

[@salvador116402]

Yes it's frustrating. Two lines that cross. Not 2 sideways parabolas. Lol

[@thomasvassilbrcic8110]

@@salvador116402 thats how you're supposed to write x's in algebra

[@ishitagupta5317]

@@thomasvassilbrcic8110 yup!

[@JungKookOfficiaI]

@@salvador116402 if you write it like a cross, you will get confused over times symbol and x. The legit correct way is )(

[@DaEvideZ]

fake accent