GCSE Maths - How to Factorise Quadratics by Completing the Square (Part 1 - Factorise When a=1) #52

This video covers how factorise quadratics using the 'complete the square' technique.
This is part 1 of 2 for completing the square. Part 2 can be found here: • GCSE Maths - How to So...
This video is suitable for maths courses around the world.
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GCSE Foundation - Not on your course
GCSE Higher - All on your course
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[@Cognitoedu]

If you’d like to practise the material covered in this video, check out our platform at www.cognitoedu.org - it's totally free, and has been built to make learning and revision as easy as possible. The main features are: - Lessons organised by topic, only the lessons relevant to your specific exam board and tier are shown. - Automatic progress tracking. Progress bars tell you what you’re doing well at, and what you need to spend some time on. - Practise quizzes so you can test your knowledge. You can quiz yourself on any combination of topics you like. - A huge number of fully-hinted questions that take you step-by-step through some of the trickiest calculations & concepts. - A comprehensive bank of past exam papers, organised both by year, and also by topic. Amadeus & Tom

[@TomiWebPro]

What if the b is a odd number?

[@SamsungUserForSomeReason]

"Feel free to watch as many times as you want to" BLUD YOUR TEACHING IS SO GOOD I UNDERSTOOD IT THE FIRST TIME🥶

[@Lamplovr]

Onggg

[@xiaosbeautifulwife]

frll breh

[@hennaala3996]

LITERALLLYYYY

[@saraziad]

whats not weird in math.

[@madlad25]

*yogurt*

[@bangtanremakes3503]

Hahahaha faxxxx

[@موسى_7]

Arithmetic and linear algebra

[@basitabbasi4494]

Fr

[@MaaztheMuslim]

Only addition and subtraction.

[@tamandanibanda1017]

I'm currently preparing for my upcoming IGCSE exams this May and this video has finally explained to me the toughest section in factorising quadratic expressions. Thank you!

[@abidvapour_abid471]

good luck

[@melissawadoi7687]

update ??

[@hudashaikh1071]

Mine is this year

[@Lorenzo0101]

What happened?

[@kookiekoo9089]

Same like I'm not giving my igcse this year but I had a problem in this part of completing the square and im glad to come on youtube

[@am60k]

this is so simple and easy to understand. my teacher didnt even teach us this formula. i literally mean it when i say thank you so much.may allah guide you to the truth,islam

[@officialmohammedkudus]

Jesus is the way, the truth, and the life

[@2003zainkhan]

yes inshalllah

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Ameen!

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Why do you need to say that at the end of your point?

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@@millazigangirova2418because I think he’s a genuinely good person and it’s be nice for him to become a Muslim so he might go to paradise

[@itsnot_cruz]

your videos helped me with my IGCSE Oct/Nov exams for last year (2022) so thank you fr

[@oscarbisleypeanutdesert4492]

Thank you so much. I spent two days trying to get this formula understood and I watched your video and now I totally understand it.

[@Davidkings280]

A very short, simple, and effective way of making a student learn a whole module in 5 minutes. I feel confident enough to pass my GCSEs. Thanks a lot, Cognito.

[@Cognitoedu]

That's great Davidkings! Really glad we could make you feel more comfortable with these topics 😊

[@itzyana15]

Oh my gosh I can't express my relief because now I UNDERSTAND BETTER as a 9th grade student 🙏🏻❤ THANK YOU SO MUCH!

[@jamieashton1480]

thank u so much, this channel is so helpful for practically all my classes, much love

[@katimations123]

So much easier than what I learned to do in class!!! Thank you so much.

[@mnik3486]

man if i found your channel before i had my igcse exams i would ace my math thanks for the help ill have my eos

[@ebeledin7090]

Thanks for these examples. It's really beneficial and very easy to understand. Also the explanations were perfectly done. Thanks again

[@Cognitoedu]

Thanks ebele, glad we could help 😊

[@madlad25]

@@Cognitoedu her full name is ebele din70 not "ebele".

[@madlad25]

@Valedits Roger that

[@Ghost.Flawless]

@@madlad25 weird guy

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@@madlad25 bro that isn’t his/hers surname lmao

[@magpiestudent9357]

I'm glad you said it is a bit weird, because that was my first thought!

[@shabadkaur6465]

Awesomely explained.....!

[@user-dr1pe9uv1s]

Thank you so much apparently I’m getting a grade four at the moment but I’ve just learnt how to do a grade 8 question thank you so much !!

[@Sahar-lt3oh]

I've never understood math better, thank you so much. You're explaining is just so organised and easy to understand. I used to mess up a lot when it came to Completing Square, but now I mastered it. Thanks to you ❤

[@fasihali7838]

Istg this guy is the best at explaining things ❤

[@erinds3067]

These videos are magic istg

[@xbgamer445]

No I feel confident to pass my igcse thanks for you cognito

[@nainaa_7634]

just what i needed for me igcse exams this year!!thank you so much

[@khansakhan7503]

I don't think the exams are happening 😁

[@nainaa_7634]

@@khansakhan7503 they are had one today! not chem but ya

[@YJ-7]

@@nainaa_7634 How did you do ?, I have a maths mock today.

[@willbrett5203]

@@nainaa_7634 how did you do??

[@nainaa_7634]

@@willbrett5203 i got an A in my igcse math

[@Pixel_PedroYT]

cognito I edge to your vids, keep up the good work

[@lammieshipper]

thank you so much for this video. i reallllyyyyyy didnt understand this in class (im not so good at maths and also my teacher kinda sucks) but now i mostly understand how to do it

[@thatgirlmilly5613]

You are a lifesaver 😊

[@amrelsheikh5770]

You can assume directly that you add the real C value to the right and the left and the C value equal (b/2)sq .. then when the shape be at the standard form make your brackets ... it will be much easier i think

[@musababur6486]

Highly appreciated thanks. You teach even better than my school teacher. Hats off for you sir

[@e-learninggate]

can we embed these videos on our web site for students?

[@All_8_days_of_a_week]

I had a question saying express in the form of a plus or minus b to the square root of 2 where a and b are fractions. Idk wt to do😮

[@AbiteyAdane-tp6pp]

Best step of present tank you.🇪🇹🇪🇹🇪🇹

[@mhamdankiller45]

Very good explanation wanted to make more free test and practice plz

[@osamaahmed9293]

What Fi the A is equal a no. Other than 1?

[@stewiebox]

what if a (from ax^2 + bx + c) is not equal to 1

[@_Guessy]

omg huh after so long i understand it ,tysm

[@egg2391]

Nice video 👍

[@positivelife9990]

This is so useful and I have exam tomorrow

[@htetaungshinevikram7076]

Thank you so much sir!

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SUCH A LIFESAVERRRRRRRRR THANK YOUUUUUU

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he is fr bro

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Thank you

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Is this compatible with Ed excel

[@duazia9737]

Awesome.

[@professorgalaxy451]

what a clear explanation

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IKR

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THANK YOU

[@kawaii_-fh2ih]

how did you get 7?

[@e-learninggate]

Thanx for sharing...

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Thank you so much

[@ardege7270]

Thanks!

[@being_crafty1]

Thank you souch

[@user-vj7hi1cs5j]

You teach so well 😃👍👌

[@professorgalaxy451]

he does yeah, the explanation is so clear and concise

[@stewiebox]

thank you 👍

[@trishakaushik2640]

@Cognito what if x^2 has a coefficient or a minus sign in front of it?

[@viridion2571]

then they can't ask you to complete the square because that's not how complete the square works

[@ex_le_xl016]

You then need to remove the coefficient or the minus sign from the equation Eg 1. 2x²-4x+6= 2(x²-2x+3) Eg 2. -2x²-4x+6 = -2(x²+2x-3) I hope this will help you! Sorry if it's too late:")

[@sffdsdfsf4756]

Bro igcse in june im at grade 4 right now im trying to reach grade 7 how should i revise

[@FREEPALESTINE642]

Sameer...use save my exams, physics and maths tutor for exam style questions...that boosted me to grade 7/8

[@ed-sheran7906]

thank you so much for this. you made really easy to understand!

[@omarehab2151]

Love you bro

[@rasenshurikan3950]

Thank you so much for this video, I am dying rn, I have a test on Monday and got a ton of chapters to learn but thanks to you I finished all of them.

[@professorgalaxy451]

how did it go mate haha

[@monkeking724]

Thank you sooooo much

[@Cognitoedu]

You’re welcome - glad it could help!

[@mariaaxp0]

what if the x co efficient isn't 1 though would the formula still apply?

[@souldevourer6238]

No

[@ex_le_xl016]

Yes the formula still applies! You'll need to remove the coefficient or the minus sign from the equation Eg 1. 2x²-4x+6= 2(x²-2x+3) Eg 2. -2x²-4x+6 = -2(x²+2x-3) I hope this will help you! Sorry if it's too late:")

[@-hrror-7833]

omg, im SAVED

[@alex87345]

Got my non calc gcse tomorrow. There is a few little things like this i forget and never use that i have a feeling will come up. Got to cover all bases.

[@professorgalaxy451]

how did it go, i assume u did well

[@alex87345]

@@professorgalaxy451 i got a grade 8 at gcse and am currently doing A level maths although it is a lot to remember and each topic is more complex than at gcse. If you have any questions i dont mind answering

[@professorgalaxy451]

ahh thanks a lot bro@@alex87345

[@angelosconstantinides6240]

Tysm

[@kyrox6642]

A much easier method than this is to open your brackets write in x and then half the co-efficient then close brackets and square it all. Then you square your halved co-efficient and you see how you get back to your last number. So much easier than incorporating fractions

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legend

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Cognito has always been my life saviour 🙌🏻🙌🏻❤️❤️

[@Cl_Noob]

Isn't negative times negative positive?

[@twopolaar599]

yes, but there is another minus sign outside the bracket, which again makes it negative

[@superflyakash8025]

At 3:13, isn't the -25 supposed to be a positve 25? because -5 squared = 25

[@richasocool]

there is a subtraction sign look carefully

[@konohappiness7481]

Thanks u

[@mhamdankiller45]

Hard and tricky but I ll score good bcz I listen to congito o level 😊

[@kaiakeenn6430]

I know this is not the right subject but can you make a video about the extraction of iron and another one on liquid in glass thermometer?

[@fireemperorzuko8756]

Watch freesciencelessons he does them

[@shabadkaur6465]

An IGCSE student!!!!!!

[@azkia08]

1:36

[@hyperpop_xoxo_]

What’s the reason for this method? Do I have to memorise it? Can someone please explain the reason behind all of this?

[@madlad25]

bro basically it all started 15 years ago when an old grandpa was giving his early retirement exam and then BOOM he got a quadratic equation that said solve it. so he did what all grandpas do: kick a child in da rear end. AND then obviously he made dis :)

[@hyperpop_xoxo_]

@@madlad25 HAHAHA

[@madlad25]

@@hyperpop_xoxo_ I'm done with igcse now so I don't want to hear anything about it again

[@Ghost.Flawless]

@@madlad25 bro got the whole squad laughing

[@vintxge_taetae]

The reason is to make student’s lives more miserable💁‍♀️💁‍♀️💁‍♀️ no other reason

[@nidgeontour257]

How do you go from -18 to -7?

[@guillermomartinez6022]

18 is positive. adding it to -25 gives you -7

[@nidgeontour257]

@@guillermomartinez6022 thanks!!

[@MohammedAhmed-jg2rw]

2:01 do we not use quadratic formula? like (-b±√(b²-4ac))/(2a)??

[@charlottejohnson5173]

Completing the square is just a rearranged form of the quadratic formula, and it's sometimes (but not always) quicker and easier to use when solving for x.

[@kimavamiiyoda4718]

I actually really like this topic in maths. It’s fun to do and satisfying because everyone else is confused lol

[@professorgalaxy451]

what type of torture have u faced haha

[@SamsungUserForSomeReason]

same lmao, the feeling when no one understands but you do is fireee

[@MrJmdGames]

Wouldnt it be - -25 so +25?

[@Loquacious_Jackson]

Nah

[@breadyboiii4728]

@@Loquacious_Jackson yeah it would be

[@-NotAvaRoblox-]

Nope, that's a common misconception. -(-5)^2 is EQUAL to -25, not 25. It's only when there isn't a bracket which it would equate to 25.

[@amvninja5286]

Ilysm

[@sushimunch6459]

isn't (-5) squared a normal +25???

[@hudaali1814]

It is a normal +25 but there is a minus sign outside the bracket as well

[@ravish3028]

Like Huda Ali said there is literally a - sign from the beginning and no matter what we must follow the system And I guess you got me..........💯

[@Loquacious_Jackson]

​@@ravish3028Indian robo-student

[@ravish3028]

Hi brudh

[@ravish3028]

@@Loquacious_Jackson Unfortunately I'm Sri lankan

[@j6lkx5kt31]

how is -8 + 8 = 8???

[@Cognitoedu]

-8 + 8 = 0, but that isn't in this video at all...

[@j6lkx5kt31]

@@Cognitoedu i got mixued up at 4 minutes. it said + 8 to Both sides which made the -8 into 0 but was still +8 because there was an 8 added onto the other side. i didnt realise and it took me 40 minutes to realise this because i am very tired and have a Unit 9 maths test tomorrow so im a bit braindead right now

[@Cognitoedu]

Ah, no worries, yeah it's a bit late for maths!

[@gabethNapil-cc2zl]

Wait a minute...I thought that is a grouping method....

[@safaatjeehhhh]

W vid

[@devildude6037]

Its minus 17 outside the bracket for the last one

[@Sanjeevx5]

there is an easier way to do this but either way is fine

[@aneezaahmed6963]

I don't understand😓😖

[@rocketcabbage]

Basically find a,b and c, put them into the formula, then simplify

[@ILoveChimken]

Who else is here bc their teacher made them click the link to watch it

[@SnowBoy-tx7et]

indian style is much easier and fatser which will get answer in two line

[@rexded]

What's the "Indian style?"

[@finnmacilquham7002]

you're wrong

[@finnmacilquham7002]

nvm declan was wrong

[@cyra2975]

What do i need to do if the b value is equals to an odd number? Can anyone help? 🥲

[@jovijonajr4532]

yes! thnx @cognito

[@lammieshipper]

lmao im here to revise for a test helpp the test is on thursday (today is tuesday)