How to factorise a cubic equation (Method 1) : ExamSolutions
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How to factorise a cubic polynomial.
Factorising cubic equations is as easy as the steps shown in this video. Watch to see.
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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
Same
More like 13 years 😅
That's ok. Hope my other videos prove useful.
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!
True, my teacher always goes off in a tangent all the time
Helpful even after 10 Yrs.💖
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
Is this an a level topic? That's so unfair, our school is teaching us this for GCSE
William Bond It is generally AS standard
William Bond This is a very simple part of the AS curriculum. It could definitely be done by people at GCSE level.
still replying to comments on 12 year old videos, LEGEND!
finally in my life I've actually seen something good
you have saved our lives, we are eternally grateful
Have you refreshed the page several times?
Yes I have. What now?
@@hingo078 wait for the dog
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?
After 7 years
Still you question remains unanswered 😂🤣🤣😂😂😝
@@KattarAthiest it actually is, just now showing up for us coz UA-cam fucked up big time like it does on a daily basis
I have a further maths GCSE mock on Monday and this is really helpful! Thank you so much!
You just saved my butt on my differential equations test tomorrow. Its been 4 years since Ive done these.
Good luck.
Now it has been four years. Yet again. Welcome to the future
@@ysd-xi6pe now it has been 9 years. Yet again. Welcome to the future
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!
hello, your comment on this video was 10 years ago! omg! how is life going.
so basically we just have to input random numbers till we get remainder = 0? 💝
Hi. I've tried for an hour to solve the equation: x^3 + 2x^2 - 5x + 13 = 0. I am going crazy :(.
Can you please tell me how to do it?
what about second method?
what if we can not factorize the expression in this easy way?
@ImCausingTraumaZ That's ok - pleased to hear it helped
That was SOO helpful!! Thanks! :D
Good to hear. Thanks for watching and best wishes.
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 UA-cam 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
You, sir, are legendary
Been looking for this method all night🎉
I have a doubt.
What if f(x) is a polynomial and f(7/2) = 0, what will be the factor. My guess is y - 7/2. Please help. It's for homework.
What is the polynomial? Is that the full question?
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
Pleased to be of service. Best wishes.
@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.
cheers
Isn't a minus number squared a positive?
13 years later
Damn this vid is like a time machine
@Candylaful no. A factorised expression gives one term only.
Gud explanation 🎉W skibbidi
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 :)
This is not for C1
Nicely explained, well thought out tutorial. It helped me a lot, thanks!
+ThePoopenator Well done.
@lennyislenny Thanks - do you not use my site though rather than the channel?
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.
+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)
guys that asked for help 13 years ago are now depressed 30 year old
wait thats so crazy
not that I am aware of.
thank you so much!
+mayank sharma You're welcome
I LOVE YOU! You've put SO much effort into these videos. All is appreciated. Thanks a LOT!
Thank you so much ☺ ☺ ☺
Madhya lo confusion vundi starting lo thappa taravata em artham kaala
Do you have to guess factors for the first part of the method? Sometimes there are too many factors to plug in, for example, 60.
Thanks!!! It helped a lot, very informative and clear. Self learning this in grade 8.
noiceee...wait woah this was 6 years ago haha
try y=20x^{3}+8x^{2}-7x-3 by this method.
It wont work.
X=1
20+8-7-3=
28-10=8
How did you factorise like that? I can't get my head around how you got (2x-1)(x-3)
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.
8x³-y³+1+6xy how to do these one?
Heskey Time
No, sorry and thanks.
Hello sir I found your video useful
It was really helpful thankyou sooooo muchh
Good to hear.
Thanks man this really helped!
Would you please make a separate section for as maths videos?
Thank you so much. what will happen if there is a remainder in the long division calculation? Is it possible to factorize completely?
how do you factorise a cubic if there is no constant? e.g -0.02t^3 + 1.76t^2 + 3.6t
Thank u🙏🙏 i'm failing my calc clz cuz i forgot about how to factor. Now i understand
🇬🇧🇬🇧🇬🇧 people Speake english
Water-wahat
What-waht
No probs.
and, if you get a remainder at the end of your long division?
thanks bro you are a god
:)
Can i do synthetic division instead of long division in o level???
Thank God it has the proper format and proper way of answering the question the others had a straight up answer only
Cubic equations hurt my brain. Thank you for explaining it so clearly.
Thank you very much ❤❤
Just perfect!!!
Thank you so much!
Sir, could you please solve this equation x^3-3x^2-4x-2=0
@burtv1610 someone who can notice sideboobs in a math course!! nice :P
Thanks you so much sir
I have a question what if I don't able to solve f(x)= 0
can we not use cubic equations function on our calculator? *although it will show a long string of decimals*
By factorising the -7× into the ×+2 where does the 14× comes from .I'm so lost
how come you timsed the 2x^2 by ONLY 2 but then for the -7x you timsed it by x+2?
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
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.
hi man that was really good ,
i want o ask you about this equation : 9X^3-24x²+24-8
your way doesn't work with his one , so how to find solutions in equation like this where its solutions are like Two thirds 2/3 and such
using nothing but what you just used in the vid
Since 2/3 is a solution then x-2/3 is a factor so divide this into the cubic to get a quadratic factor then either factorise that or use the quadratic formula to find the other vaues of x.
Tnx for responding , but let's say the equation was given to you , how would you solve it , i mean the factor of are 2;4;1;8 and none of them is the solution so how can you find the solution if it isn't a factor of d in ax^3 + bx² + cx + d = 0
THIS IS A GOOD VIDEO.
ANW,TO DOUBLE CONFIRM, THIS IS A FACTOR THEOREM RIGHT?
FOR REMAINDER THEOREM, I WILL SUB THE VALUE EG: X-4=0, THEN I WILL SUB 4 INTO THE X AND SEE IF THE ANSWER TELE, RIGHT?
THANK U SIR! LOVE U!!
This is a life saver!! LOVE IT
Happy to hear that!
im trying to find an equation with the given factors but I need to find the remaining factor and the constants
Would you lose any marks if you didn't factorise again?
Legends are seeing in 2021
you mean 2024
you probably have already graduated by now
No 2024
hi, your website isnt working? the main page loads but when i try clicking a video link there is a server error so the page doesnt load?
is there no other method than trial and error
This method is a lot more general than the special case ones. Much prefer the video thanks!
Hello Sir,im requesting 4 a video on how to factories easily
I do get lots of problems with factorisation especially when it becomes more complicated.
Can U Make It Plz?
Thank U
How did.that 14x come up
could we substitute x=the factors of the last number =0
Yes, try plus or minus values.
You are actually a legend, sir.
Thanks, you explained better than my textbook!!
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 ?
a3+3a2b+3ab2+b3-8 factorise this problem
Thank you very very much
i was just wondering what happens if i get a remainder?! can i still factorize it or not?!
Hello. what if the remainder is not zero , how would it affect the calculation of the quadratic factor?
If the remainder isn't zero, then you the linear expression you divided it by wasn't a factor
factor theorem perfectly explained!
Is this a calculator topic?
There is no such thing as a calculator topic for A levels.
It's really helpful. Thank you! ✨✨✨✨
Am I the only one that prefers this method?
I am very confused
Since you tried -1 to figure out the first factor, (x+2), would that rule out trying -6 because -1 x -6 gives you the 6?
Not necessarily. One of them was -2 so it might be that the others are -6 and 1/2
ExamSolutions I'm having trouble using long division for this question
4x³ - 21x -10. I found x + 2 to be a factor. I would be very grateful if you could help me. And 4x is raised to a 3 just to be clear.
Thanks 😊
no way this is so easy
Really needed this. Thanks!