How to factorise a cubic equation (Method 1) : ExamSolutions

SIGN UP FOR NOW FOR A 30-DAY FREE TRIAL
www.examsolutions.net/register
PREDICTIVE GRADES PLATFORM IS HERE 🚀
☑️ FREE ExamSolutions AI personal tutor
☑️ Accurate grade predictions
☑️ Personalised resources and tuition
☑️ Guaranteed results or get your money back
ENQUIRIES AT: [e-mail]
How to factorise a cubic polynomial.
Factorising cubic equations is as easy as the steps shown in this video. Watch to see.
RUclips CHANNEL at / examsolutions
EXAMSOLUTIONS WEBSITE at www.examsolutions.net/ where you will have access to all playlists covering pure maths, statistics and mechanics.
/ examsolutions.net
NEW INSTAGRAM: / examsolutionsguy
TWITTER: / examsolutions
THE BEST THANK YOU: www.examsolutions.net/donation/

[@ExamSolutions_Maths]

🔥 For our top viewers: Get a FREE assessment on factorising cubic equations! Register now ➡ www.examsolutions.net/register

[@yashbooputh]

10+ years later and this is still way better than all of my school teachers explanation. Every doubt i had was solved in this video. Teaching is not for everyone, but you sir you are the best at it!

[@husaamasam5827]

True, my teacher always goes off in a tangent all the time

[@ExamSolutions_Maths]

That's ok. Hope my other videos prove useful.

[@Jackywacky96]

THANK YOU SOOOO MUCH!!! Really love your vids and i appreciate they are completely free and easily available for everyone (Unlike some other channels :) ) keep up the work! Sitting my a levels at the minute and these videos are fantastic :P

[@williambond5880]

Is this an a level topic? That's so unfair, our school is teaching us this for GCSE

[@ExamSolutions_Maths]

William Bond It is generally AS standard

[@StarTrek0871]

William Bond This is a very simple part of the AS curriculum. It could definitely be done by people at GCSE level.

[@haoweishi1340]

I have a further maths GCSE mock on Monday and this is really helpful! Thank you so much!

[@samcuber1562]

I don't think the guy would have ever thought that his video will be seen by people 12 YEARS LATER by an Indian student. LOL

[@darkmetal20]

Same

[@user-ql2ph7gx1j]

More like 13 years 😅

[@reetika2140]

Thank God it has the proper format and proper way of answering the question the others had a straight up answer only

[@dominicthomas97]

I LOVE YOU! You've put SO much effort into these videos. All is appreciated. Thanks a LOT!

[@MJXed]

Been looking for this method all night🎉

[@lennyislenny]

These videos are EXCELLENT. Thank you very much. I've been helping someone with A Level maths and these have been invaluable. So clear, so well structured and very nicely presented. Excellent teaching. I can hardly believe that I found A Level maths tricky when I did it as a teenager - you make it seem almost boringly easy. This channel is one of the best maths resources on the web. Please keep up the good work!

[@nemesizVal]

hello, your comment on this video was 10 years ago! omg! how is life going.

[@joshuamiller2319]

still replying to comments on 12 year old videos, LEGEND!

[@dgc312]

i did but its working now :)
im very grateful for your tutorials, id be lost without them,
so thank you

[@Coolbobagirl]

Fantastic, I have been looking for a formula that would help me master this problem for a while now. This method was perfect for me. Thank you

[@ExamSolutions_Maths]

Pleased to be of service. Best wishes.

[@katelynhumphrey8630]

You just saved my butt on my differential equations test tomorrow. Its been 4 years since Ive done these.

[@ExamSolutions_Maths]

Good luck.

[@ysd-xi6pe]

Now it has been four years. Yet again. Welcome to the future

[@sharkoderaymond]

@@ysd-xi6pe now it has been 9 years. Yet again. Welcome to the future

[@josephhemsworth609]

Absolutely brilliant video, helped me loads.

[@maazmughal]

Helpful even after 10 Yrs.💖

[@YRCHDWorldwide]

You, sir, are legendary

[@combatfear4]

Just perfect!!!
Thank you so much!

[@hussainzuk]

finally in my life I've actually seen something good

[@Jedi2155]

This method is a lot more general than the special case ones. Much prefer the video thanks!

[@MrCatholicNinja]

Thank you SO much. you've saved my GCSE further math's bacon!

[@DomesticatedDuck]

Really needed this. Thanks!

[@a.Bader97]

Hi, just want to state that you are doing expectational videos and I along with thousands of maths students really appreciate your efforts.
I just have a question to ask, will the question ever ask me to use this particular method? (I'm sitting an edexcel paper), or can I just use method 2 freely?

[@KattarAthiest]

After 7 years
Still you question remains unanswered 😂🤣🤣😂😂😝

[@overpoweredpoverty54]

@@KattarAthiest it actually is, just now showing up for us coz RUclips fucked up big time like it does on a daily basis

[@callumvanheerden1530]

Thanks, you explained better than my textbook!!

[@peateargriffin92]

you have saved our lives, we are eternally grateful

[@rujalk]

Thanks - was very helpful and clear.

[@stevenk4666]

Thanks man this really helped!

[@FletcherRenn]

You are actually a legend, sir.

[@NehaSingh-fp1sd]

It's really helpful. Thank you! ✨✨✨✨

[@thepoopenator7341]

Nicely explained, well thought out tutorial. It helped me a lot, thanks!

[@ExamSolutions_Maths]

+ThePoopenator Well done.

[@jodez1]

Thanks!!! It helped a lot, very informative and clear. Self learning this in grade 8.

[@puddleduck1405]

noiceee...wait woah this was 6 years ago haha

[@diananicolae7267]

Cubic equations hurt my brain. Thank you for explaining it so clearly.

[@24Neesh]

That was SOO helpful!! Thanks! :D

[@ExamSolutions_Maths]

Good to hear. Thanks for watching and best wishes.

[@silkyboiso2961]

I can't tell how much it helped me

[@TheDeeba2]

Thank you very much!

[@Parisx1000]

God Bless You !
Helped me soooooooooooooooooooo much !

[@oamir7374]

Thank you very very much

[@ExamSolutions_Maths]

Have you refreshed the page several times?

[@hingo078]

Yes I have. What now?

[@pigeonlove]

@@hingo078 wait for the dog

[@inamedkakarot4039]

thanks , it helps a lot

[@nitujha3924]

Thnx it really helps a lot

[@paulromanov9477]

Hy, A great thanks rom france. I'm learning cubic equations and have a little question. When you've found the first factor (x+2), can we just try to solve the quadratic to find other x by a equation product-zero calculating ?

[@jlky3721]

Thanks a lot!

[@christineiyalla]

thanks a lot, this helped

[@kaiwoi7193]

Doing complex polynomial factoring and quart of equations literally require you to factorise cubics. I’m literally so happy I found this as I am self teaching myself complex numbers in time for me to start a levels, i have done the factor theorem but this really makes sense thank you so much

[@thembelamathsclub4403]

factor theorem perfectly explained!

[@Skindust.007..]

Thank you so much. what will happen if there is a remainder in the long division calculation? Is it possible to factorize completely?

[@Yooooojin]

Thank u🙏🙏 i'm failing my calc clz cuz i forgot about how to factor. Now i understand

[@kebakaonebajaki1018]

thank you!

[@lennyislenny]

@ExamSolutions I've just looked at your site and it looks very useful. However I was struggling to find your very good videos on factorising/solving cubic expressions. I searched for "factorising" "polynomials" "solving" "cubics" etc but to no avail. Hope this feedback helps.

[@RahulChoudhary-fh5vc]

Thanks a lot.

[@ThorForShort]

Thank you my good sir

[@mokalokasoka5163]

Thank you very much ❤❤

[@MidLifeDad]

helpful video, thanks

[@aliceinbath2850]

You sir are a hero

[@sameshasalmon4693]

This is a life saver!! LOVE IT

[@ExamSolutions_Maths]

Happy to hear that!

[@christianday2587]

Awesome job.

[@b.p.sadashivamurthy2575]

Thank you so much ☺ ☺ ☺

[@7usama887]

its very help full for me .to study

[@bigclint5622]

very good lad cheers

[@zxspectrum16KB]

Would you please make a separate section for as maths videos?

[@arathyshain557]

It was really helpful thankyou sooooo muchh

[@ExamSolutions_Maths]

Good to hear.

[@ExamSolutions_Maths]

@ImCausingTraumaZ That's ok - pleased to hear it helped

[@ethangren7624]

You are the best

[@MrFear220]

Thanks! This video is really quite useful.

[@ExamSolutions_Maths]

Pleased to hear it helped. Thanks for watching.

[@johnkk4571]

Thanks 👍

[@shadmansakib1652]

thank you bro

[@prateek3828]

Thanks man

[@user-qv4cj8wd4c]

Thank you

[@ExamSolutions_Maths]

cheers

[@user-zv8of5ww8r]

Thanks 😊

[@IslamGuidance_]

thanks a lot buddy

[@aryssasookhai4136]

THANK U

[@nurdauletquanyshuly248]

what about second method?
what if we can not factorize the expression in this easy way?

[@koloie]

THANKS

[@sarahsalman99]

Hi. This really helped a lot I'm so thankful!
But I'm just wondering what if we have an equation such as, 2x^3-13x^2-7x
I've been trying to solve the way you solved the equation you've given but I'm not getting any solutions.
Thanks.

[@ExamSolutions_Maths]

+Sara s Always check to see if there is a common factor. There is, it is x. so pull out x to give x(2x^2-13x-7) then factorise the quadratic factor to give x(2x+1 )(x-7)

[@sivasubramaniam5019]

Thank you very much. It was very helpful. I used the same formula but different factor. I got f(3)=0. So for me x-3 is a factor. Then I got the same answer at the end.

[@user-dx6hl1be6d]

Hello sir I found your video useful

[@ethang3312]

Really appreciate this!

[@ExamSolutions_Maths]

Thank you.

[@ExamSolutions_Maths]

@hemant1993 I would think so. Always check to see if it factorises is a good bet. You get clues though if it says factorise completely or give your answer as three linear factors.

[@mariabrightstar]

great video

[@ExamSolutions_Maths]

@Candylaful no. A factorised expression gives one term only.

[@matthewroberts9346]

That was beautiful😪💪😌

[@ExamSolutions_Maths]

@lennyislenny Thanks - do you not use my site though rather than the channel?

[@MayankSharma-ve3iz]

thank you so much!

[@ExamSolutions_Maths]

+mayank sharma You're welcome

[@briansubb1]

Brilliant

[@chrislazarou2202]

just amazingggggggggggggg

[@CptMaahir]

I hope these youtubers actually get paid more than teachers. I learnt how to do this so quickly and efficiently with this tutorial, some teachers are so fucking terrible. Might aswell make RUclips a school and I Guarantee about 80% will pass. It's such a good place to come to when you're stuck and your teacher is fucking useless

[@rajdeeprao8430]

Thanks!!

[@ExamSolutions_Maths]

You're welcome

[@joejohnson9473]

Can anyone tell me if this is needed for the C1 edexcel paper, I can't remember learning it but it has come up on a soloman edexcel paper thanks :)

[@danyold6494]

This is not for C1

[@mohammedzawia1054]

tysm

[@g2taz]

Thanks sir :p

[@kasunamaraweera5627]

thanks bro you are a god

[@ExamSolutions_Maths]

:)

[@williamgrady9004]

What are the constraints on using this technique? It seems to me that at least one of the roots MUST be an integer for the factor theorem to work as described in the video.
A previous poster cited the example 9X^3-24x²+24x-8. One of the factors turns out to be (3x-2) but I was unable to determine this using the factor theorem. Is there an alternative technique?
BTW - excellent tutorials

[@ExamSolutions_Maths]

William Grady When given a question which suggests using the factor theorem then expect an integer to be one of the solutions you can guess. The factor theorem though in theory works for any solution integer or not. For finding roots of a cubic an alternative technique is to look for a sign change in an interval and then use an iterative process to locate the root. for example Newton Raphson method.

[@ExamSolutions_Maths]

No probs.

[@shribhagwangulia2916]

Thanks you so much sir
I have a question what if I don't able to solve f(x)= 0

[@addictaedtokookie1622]

can we not use cubic equations function on our calculator? *although it will show a long string of decimals*

[@mushroomng]

thx

[@addictaedtokookie1622]

so basically we just have to input random numbers till we get remainder = 0? 💝

[@ouramazingfam1780]

Gud explanation 🎉W skibbidi

[@muhammeddemir9694]

How do you do the grouping method