AS & A Level Maths No 1 Polynomials- from www.mathstutor.biz

[ChemHandbook]

'So, 5x^4 + 3x^3 + 7x^2 + x - 1. Another example...'

I stopped and thought 'Jesus, is that it?' xD

[BobTheMunificent]

@TheClimbinExperience I have to agree (being English). When I was at school (many years ago) we learnt this stuff at age 14-16 for O-Level Maths, not A-Level (age 16-18). I looked at A-Level syllabuses about 18 months ago - at least 50% of the content are things we did at O-Level 25 years ago, and most of the rest was *basic* calculus that would take a reasonably intelligent person 2-3 weeks to learn. And people say there is no dumbing-down of A-levels...

[Mathsathlete]

If anyone is interested, I also do A level maths on my channel for specifically UK students

[oneballuno]

helpful video but shame about all the mistakes - very confusing for people trying to learn!

[TheHabbo210]

You're doing a fantastic job! I am currently a GCSE student, I am on A grades. I was very worried about my AS-Level Maths in the future, as well as my Chemistry and Biology. But I find it very easy, I know all of this already, I don't know how, because this subject isn't in GCSE. Anyway, I want to get A's in my A-Levels; I want to go into Medicine. So far so good. A's all around in my GCSE's cannot wait in till I get into A-Level!

[SuperCoursework]

visit wordhacker{dot}co{dot}uk we have all the coursework you need A-As level/gcse/university and btec

[nishy0895]

You know at 6:12 you done -x + - 8x and got 7x aint it meant to be -9x because -1x+-8 is -9 because ur taking away?? need to make sure because otherwise i wouldn't be learning..

[oneballuno]

@nishy0895 no fella 7x was right. -x - -8x = +7x. remember he added the + sign to make it easier (apparently) however i see how this can make it more confusing

[ruizucool]

I really found the beginning about polynominals really helpful but I had a question as I'm not sure if I didn't understand it or whether it was a mistake (as others have pointed some out):

@4:54 you subtracted nothing from 3x^3 and got 3x^2?

[mathstutorbiz]

@ruizucool as pointed out, yes a slip on my part.

[kapilDeepali]

xyz

[mathstutorbiz]

I would really like to make a positive comment to help you

[metaljix]

I did core math's 2 times and never could succeed, i don't know why i always study and i try very hard, but i don't know what happens no one could help me, and i really want to go to university but i'm not good at math, what do you think i should do if i can ask ?

[putera121]

Thanks for the vid:) Don't worry about all those childish comments. They are making a big fuss over minor careless mistakes. Hope the next vid won't have careless errors you have my support:)

[Msmithio]

No offence, but the many, many mistakes you make in this video do not fill me with any confidence in your tutoring skills at all... You make far too many obvious, overt and frankly schoolboy errors. It is not a good advertisement for yourself as a teacher, and my advice would be to re-film this, Correctly. The only thing this video really does is push people away when they realise your mistakes...

4x + -3x is not -1x...

4x times 3x is not 12x...

Etc.

[veinator]

yo! dude, check your indices. you made mistakes along the way.

e.g look from 6.33 minute, 7y sqaure mutliplied by 6y gives 42y cube. but you wrote 42y square.

[goodgolddigger]

thanks! its a great help for me to remember my highschool lessons.

[nord10]

THE FUNCTION EQUALS SUCK MY DICK

[indyk91]

@nord10 why would you say that?

[LittleTommyGstar]

@indyk91 because he is a little homo.

[oPhillo]

@LittleTommyGstar little homo with no homo friends

[M1CH43LC]

What grade A/AS level is this? It was mainly just simplifying and expanding standard equations. I was expecting it to go onto something a bit more complicated like expanding (x+3)^5.

[mathstutorbiz]

This is the start of the lesson. The full lesson would move on to algebra as you suggest. mathstutor.

[JTD7000]

@mathstutorbiz - comparing 1:23 and 1:41 you added the 6X^2, but then took away the 3X^2, then at 1:50 you added 3X^3, why did you take away 3X^2, how did you know to add the 3X^3, I'm not clear on how to tell which sign to use between polynomials in the sum, please help me?

[avinaashnash100]

@M1CH43LC easy as ass

[lifesgood9]

MISTAKES EVERYWHERE!

[krakatoa16]

at 7:04 wouldn't it be 42y to the power of 3? and not 2.

[Alkydale]

Think you're right there

[lutontownhatter]

@krakatoa16 thats exactly what i was about to comment on.. :o

[hector0282]

jeez! I can do those simple operations in my head, no paper........lol

[Chuckie69flip60]

everyone makes mistakes, appreciate him.

[iwritelovenotes]

thanks a lot, helped me review a bunch of stuff ;D

[josetogan]

what a dumb ass putting up mistake riddled maths onto Youtube! twat

[ItsameAlex]

I meant he's made lol! i made a stupid mistake.

[karshcheung1991]

in the equation 7y^2(6y+8) when you multiplied it out shouldn't it of been

42y^3+56y^2

[albionna]

he puts the wrong power on the 4minutes and 53 seconds of the vid when he is subtracting its actually 3to the power of 3 and not 3 to the power of 2

[marab90]

but still thank u so much for uploading

[marab90]

he does it right in the equation of 8 20 lol

[marab90]

7:09 of this video pause it and you will find an error with his working out also on 7:33 he have 4x * 3x = 12x its wrong

[optimumph]

Thanks for the vid.

But I've got a question.

Which book do you recommend for studying A Level Maths?

[steveuk1986]

7y^2(6y+8)

=42y^3+56y^2

~=42y^2+56y^2 as stated in the video

Do i get a gold star? :D

[mathstutorbiz]

fraid not, only plastic star, or even only thin paper....... silly slip spotted by many others, read comments, anyway, well done you. mathstutor

[Epicus]

what's with the attitude, dude? you are teaching a lesson and you mess up and still post it on youtube? that's hardly a 'silly slip'.

[mathstutorbiz]

truely no attitude, my comment was lighthearted, well that is how I meant it. mathstutor

[MathMikie]

hi i have a question i thought they are only called polynomials if they have more than 3 terms or do we call all algebraic expressions polynomials

[mathstutorbiz]

2 or more terms, but best Google and check the type of terms................

[viharsarok]

The number of terms doesn't count. 0, 1, x, x^7, x^2+x are all polynomials.

[ruffboy021]

I am sorry to recommend but at 7.20 the answer for the first sum must be 42y cube + 56 y square.

Sorry again...

best regards

[pradip850]

We are really lucky to have someone doing this here in youtube, it's very helpful. My teacher is clever but he doesn't like to explain much as he assumes that we know stuff like this from GCSE (We do but we forget hehe) and he's very strict too. When teachers are strict we find uncomforatble to ask questions to them. Thank you very much sir I understand so much better here than in my lesson. Doing C1 OCR this Jan 09th 2009. Cheers

[mathstutorbiz]

ur are very welcome and good luck for friday. mathstutor

[MathMikie]

hi i spotted a mistake 3X times 4X is not 12X but 12X^2

[libbyknight]

yeah i noticed that too

[ijr900]

hello maths tutor,just read some of the other comments.Now all is clear,thanks for the tutorial,on to lesson 2 Ian Robinson

[mathstutorbiz]

pleased all sorted now, look forward to hearing from you. mathstutor

[ijr900]

.Also for the final question I get 12+xsquared+2xcubed.I progress at a slow pace but I do like to be sure,will be buying your tutorials at the end of the month your sincerely Ian Robinson.

[ijr900]

.the answer given is 12x,should this not be 12x squared.If i assume a value of 2 for x I get [4x2][3x2]=48 . 12x=12x2=24. 12x squared= 12x2x2=48. I notice that you simplyfy to 12x -10x -42,this would simplyfy further to 2x-42 ,this leads me to belive not squaring the 12 x was an oversite. The answer then that I get is 42ycubed+56ysquared 12xsquared-10x-42

[MathMikie]

yes it should you are right

[ijr900]

Dear Sir,just a line to thank you for these great video, I am thinking of doing an AS level course in the spring as a mature student,I am having trouble with the multiplication of polynomials particularly the equation 7ysquared[6y+8][4x+6][3x-7] The first part being then,using your method 7y squared[6y] assuming a value of 3 for y,I get a result of 1134,yet42y squared is equal to 378,but 42y cubed is 1134.also the second part of the equation [4x][3x].

[adgfthbergfhnehtmwrg]

Is there a way to factorise cubis without using the factor theorem?

[zafraan13]

Hey Maths Tutor,

Just a quick comment....your videos are amazingly helpful, i prefer to revise this way as it sticks in my mind.

Although I spotted two erroes:

@ 7:20 as many have pointed out

@ 9:08 .....+4x^2 - 3x^2 = X^2

Thanks again for your videos :)

[lamfsc]

Can someone tell me the difference between calculus and A-level? They seem to be quite the same thing.

[MathMikie]

you do some calculus in A level but not all of it

Alevel covers a bit of everything algebra ,trigonometry, calculus, statistics, mechanics etc but claculus is more specialized it just about calculus and nothing else for more info message me or leave a comment on my channel and i will reply when i have time

[B3LLEND]

To the people who are so critical of an easy mistake to make: It would be interesting to see how many people noticed the mistake without mathstutor pointing it out. Personally I thought it was just his handwriting. If they are so good at maths then why are they watching his videos? lol

[pufla]

hi im 15 years old and ty for the tut i can understand so well becouse you are so good at explaining ty.

[mathstutorbiz]

you are more than welcome.

mathstutor

[mathstutorbiz]

I VERY much appreciate your comment. Your comment is spot on. I put a lot of effort in the videos, and the slips are as you say.

mathstutor

[Shaask]

Stop whining about mistakes. When your mind isn't fully focused on maths it's easy to make little errors. Now, would you say that when someone's concentrating on recording a VIDEO and giving a FULL verbal narrative, they are going to be concentrating fully on the maths? The answer is obvious - no. So long as people are aware that there ARE mistakes, it's nothing to be worried about. So quit whining.

[georgepowell]

eeerrr... major error @ about 7:00.

and i havnt even started A-Level.

'Loopysquish' is trying to make it sound OK that you have made those mistakes, but if you are trying to teach A-Level Maths you really need to get it right.

thanks for trying, i will watch them anyway... lets hope you dont make any other mistakes.

[Shaask]

Thanks loads man, starting my AS-Level maths next year, videos like this are really useful for looking over stuff, and in my case, learning completely new stuff.

[Loopysquish]

In case someone missed them, there are mistakes at:

Time 6.50: 7y^2 X 6y = 42y^3

Time 7.20: 4x X 3x = 12x^2

Time 9.18: 12x + x^2 + 2x^3

People can learn a lot from mistakes I think, if they know they are there. Maybe it would help to point out that there are mistakes in the video info, as many people are lazy and don't bother reading past comments... It's a sad world we live in. =(

Hehe... You could make it a game of spot the "deliberate" mistakes!

Perfect get out! =P

[ItsameAlex]

His made so many mistakes...disgusting mistakes for a maths teacher..... like the one at 6:50 how can you make such a mistake!!!

[Loopysquish]

Awesome video! I'm trying to teach myself A-level Maths and your videos will really help! So thanks! =D

I think the mistakes could be incorporated as part of the lesson... i.e. a task associated with the video could be to correct the mistakes. Would make people actually engage their brains instead of just blindly following a teacher! =P

[AtifRoome]

Fix it, dont be so stubborn, you can remove this video and redo it, with all the silly mistakes fixed. This is not a joke or fun video it is educational, and you have a responsibility

[mathstutorbiz]

I could remove the clip, I could remove your comments. I'll do neither and leave others to comment.

mathstutor

Just a thought, with over 40 years teaching experience, I do take VERY seriously what I do.

[d0nunit]

you suck dick head

[AtifRoome]

this is what he replied to my comment:

if you listen to the video then I think you will find all of my silly slips are covered. Students can learn by others mistakes. I have had many postive comments about this video clip so it will remain.

mathstutor

Thats a good idea to learn from mistakes, but who is going to tell the new learners what are mistakes and what are not in you tutorial.

[AtifRoome]

Please do not look at this video it has lots of mistakes that can lead you to wrong concepts. and this video should be deleted.

[mathstutorbiz]

if you listen to the video then I think you will find all of my silly slips are covered. Students can learn by others mistakes. I have had many postive comments about this video clip so it will remain.

mathstutor

[dirtygoits]

Very good explanation, but quite a few carless mistakes. I advise you to check your answers while your filming, to check for any silly mistakes. Other than that great video

[K0mentor]

good vids mate, thanks a lot. only, it would be nice if each is tagged with the right module.

[qwekkkkkk]

there was an error... 7y^2(6y+8) does not = 42y^2+5y^2 it equals 42y^3 :O:O

[mathstutorbiz]

please read other comments...................

[qwekkkkkk]

just pointing out there was an error m8, if there wasn't im sorry it was a week ago :S, i've just done my maths exam and am planing to do A-level maths and further maths so what u offer here is very useful, i wasn't trying to be aggressive the mistake was just bit blatant (if there was 1). STILL A FAN

[mathstutorbiz]

no problem. I was not meaning to "sound" off, just wrote the quickest way to save long comment. Anyway, good luck in the future.

mathstutor

[ColdDev4]

THANK YOU - used yours videos tonight, got my exam tommorow. VERY helpful.

[j1e1f1]

6.40-7.42 is wrong! 7y^2 x 6y is 42y^3. not 42y^2. Also 4x x 3x=12x^2. not just 12x.

[mathstutorbiz]

please read other comments.

mathstutor

[NikNammerz]

Wow.... I've just been on your website and it's helped me so much! I'm doing the final AS exam in may, and now i feel pretty confident :) Cheers

[NikNammerz]

Wow.... I've just been on your website and it's helped me so much! I'm doing the final AS exam in may, and now i feel pretty confident :) Cheers

[tomalexl]

good video, but you should probably re-record it as there are a few annoying mistakes in it...

[mathstutorbiz]

please read other comments.

mathstutor

[alexander76rw]

LOL@a bit careless at the end of the video hahahaha

[mathstutorbiz]

I'm prone to the odd daft slip. My classes would soon tell me!

mathstutor

[alexander76rw]

LOL (4x+6)(3x-7)= 12x-28x+18x-42

Should be 12xSq-10x-42

[alexander76rw]

There were a couple of errors in this video....4:52 3x cubed plus 0 is 3x squared?

7y squared times 6y is 42 y squared? 6:58??

4x times 3x is 12x squared not 12x(7:26)??

[Terroristbc]

Which lesson of yours talk about quadratic equations?

[mathstutorbiz]

Good question!

With just over 100 video clips on youtube I'm just not sure. Go to my web site mathstutorDOTbiz where all the youtube video clips are available AND you can see the "Full" versions of the lessons that are available AND the full contents in detail of all the DVD's.

mathstutor

[jonnykkkkkkkkk]

I'm sorry to be pedantic but isn't the answer to the final polynomial multiplication 12+x^2+2x^3..... I wouldn't have said anything but my son asked me to to this particular problem and then told me I was wrong and showed me this video to prove it..:-)

[mathstutorbiz]

you are right at 9:03 there is a mistake, 12 + x² + 2x³ not 12 - x² + 2x³ . One of my silly slips. Read other comments, not one of my best days. However it gets us all talking, so I hope you agree, no bad thing. Good luck to your son in his studies. mathstutor

[wypedsampson]

at 07:08, isnt 7y^2 * 6y =42y^3?

[mathstutorbiz]

yes true. If you read back over others comments you will see I made several silly slips in this video clip. Had an off day!!! I could remove the clip, but hey why not show mistakes.

mathstutor

[wypedsampson]

fair enough. dont bother removing the vid, it is very good :-) exam tomorrow. fun fun.

[mathstutorbiz]

good luck in the exam.

mathstutor

[dgenerationxrock]

thank you so much for the help, i open my math revision guides and can't seem to follow them but when i watch your video's they provide me with loads of help and make me believe that i can do the maths. you make it so much easier to understand. thanks again. =)

[mathstutorbiz]

pleased to have been of help.

mathstutor.......... why not visit my we sit mathstutorDOTbiz for the complete DVD's

[kawtharB]

id just like to show my appreciation you have simplified what used to be a very confusing subject so thankyou... also your vids on differentiation and integration were just as helpful :)

[mathstutorbiz]

you are more than welcome, good luck in you studies,

mathstutor

[OdysseasElia]

awight!! sorted

[mathstutorbiz]

jolly good. mathstutor

[meatontheface]

Mathstutor, you are the man.

5 stars from me.

[mathstutorbiz]

well thank you. mathstutor

[pinero91]

i sort of got it but why or how did he change the size

[mathstutorbiz]

size or signs???? changing the signs on the bottom line and then adding gives the same result as "subtraction"..... have another look and listen. mathstutor

[ja3323]

you are amazin i feel that im gonna actually pass my first exam next month polynumials are so easy once you know how i like the way you line them up thats saves so much hassle of re writing all the f(x) g(x) equations and makes it simpler to understand

[mathstutorbiz]

glad to have been of help. good luck with the exam. mathstutor

[igiveit2u]

you fogot that x times x is x squared and y times y squared equals y cube etc but thx for posting the vids very helpful

[Britishmidland]

Thanks for making these videos, most people would laugh if I told them I was revising using youtube.

Maybe those criticising you for simple errors would like to redo all of your videos, since they themselves are free from making errors? Thought not.

Thanks.

[mathstutorbiz]

appreciate your comments. good luck with your studies. mathstutor

[seanieb91]

it was slightly useful however so many simple mistakes made it was pretty unbelievable from a man trying to teach people maths

[mathstutorbiz]

ooooooooooooooooooooooooooooo.

well that told me.................

mathstutor

[Holiwog]

this is useful! im doing polynomials now, just started my AS, the basics of it, and integers

[hoopdie]

very helpful.. regardless of the mistakes in solving it, i get it now. :) thanks

[avilahugo]

very clearly explained and the techniques you explained are really useful and completely valid even when silly mistakes which we all make 100 times a day are made. Thanks for posting the video.

[LiverpoolLad2006]

you have got too much time on your hands

[joshpig12345]

a mistake at 7:40 3x times 4x= 12x squared

[mathstutorbiz]

well done, check back to others comments and you will see this has been spotted before. I could remove the video clip, but I think there is no real problem. We all make silly slips and others can learn from them. mathstutor

[PIPPYCOLLY]

I'm not a maths genious but my son is.  He passed his AS Level maths last term and is now on the extended level for this year, and is also doing Level A2. I'm very proud of him!

[sxcmegzy]

See... I knew there was a reason that I didn't take maths at A level lol.. thats looks freakin confusing

[yacineW12]

lol, your mentally challenged all you need is to put the effort in^^

[saintdracula]

I do this for Aiur.

[yacineW12]

whats 'aiur'??

[yacineW12]

wtf is Aiur

[mynameisabdul]

Thanks alot 4 posting these videos. i really appreciate it man. keep up da gud work.

[WaleBoB]

Most important is that you get the idea...So you can apply it to any example given.

[samioni]

really? It is the way I was taught to do it, and taught others for 39 years...... and all teachers over the years in my department have used that form of x. If you use x for x ..... it can be misuderstood as a multiplication sign. mathstutor.

[jemcghee]

I understand the reasoning...just odd, I have a BS in Chemistry and never saw/ or heard of that until now. We always used dots to indicate multipication "x"s.

[jemcghee]

FYI: I've never seen anyone write the letter "x" like you do.

[addikaye03]

i do "x"s exactly the same.. it eleminates the chance of being confused about a multiplication and an X, its jus one less thing u need to take care of

[tysen2003]

your last answer was still wrong. It should be 12 + x² +2x³ not 12 - x² +2x³

[samioni]

oh dear, you are right..... must have been a late night session... I wonder if I should remove this clip with the silly slips..... but then we can learn by others mistakes.... mathstutor

[tysen2003]

That is cool,the video clips are great though.

[mathstutorbiz]

.......... is this worth a reply?? I think not. mathstutor

[yacineW12]

9:03 there is a mistake, kindly correct it. 12 + x² +2x³ not 12 - x² +2x³

[mathstutorbiz]

well done, if you look back over others comments you will see this has been spotted before. I could remove the video clip, but I think there is no real problem. We all make silly slips and others can learn from them. mathstutor

[aryaldo]

dude this is pretty basic stuff , hardly constitutes as "Advanced", and videos on the hard stuff?

[DJBMASTER2]

and also (4x+6)(3x-7) = 12x²-10x-42 not 12x-10x-42.

But still thanks for helping us A level students. BTW you should edit this video it may throw people off.

[mathstutorbiz]

............................ I will bear your suggestion in mind...... when I have the time!!!! the preparation for my videos does take SOME time... and the odd slip will always get through. mathstutor

[canadaonly2]

cheers mate, helpful :)

[mathstutorbiz]

yes well spotted, silly slip on my part. should be 42 y cubed. I always told my students that I would do my best, but never said I was infallible. mathstutor

[CamiloSanchez1979]

failing is an important part of science, thanks for posting