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Factorising Harder Quadratics (Higher Only) | GCSE Maths Tutor

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A video revising the techniques and strategies for factorising harder quadratics - Higher Only
This video is part of the Algebra module in GCSE maths, see my other videos below to continue with the series.
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🔹 Watch the video
🔹 Make notes
🔹 Practice the questions
🔹 Mark your work
🔹 Review what you have learnt on the exam questions
Part 1 - Laws of Indices - • Laws of Indices (Highe...
Part 2 - Collecting Like Terms - • Collecting Like Terms ...
Part 3 - Expanding and Simplifying - • Expanding Single Brack...
Part 4 - Double Brackets - • Expanding Double Brack...
Part 5 - Factorising - • Factorising (Higher & ...
Part 6 - Factorising Quadratics - • Factorising Quadratics...
Part 7 - Substitution - • Substitution (Higher &...
Part 8 - Changing the Subject Part 1 - • Changing the Subject o...
Part 9 - Simultaneous Equations - • Simultaneous Equations...
Part 10 - Changing the Subject Part 2 (Higher Only) - • Changing the Subject -...
Part 11 - Expanding Triple Brackets (Higher Only) - • Expanding Triple Brack...
Part 12 - Factorising Harder Quadratics (Higher Only) - • Factorising Harder Qua...
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Twitter: / gcsemathstutor
Music: That Day
Musician: Jef

Опубликовано:

5 сен 2024

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Комментарии : 203

@JOSHHXX 2 года назад

YOU ARE AN ABSOLUTE LEGEND! I DIDN'T UNDERSTAND WHAT YOU HAD TO DO WHEN THE COEFFICIENT WAS MORE THAN ONE AND YOU JUST EXPLAINED IT SO MUCH MORE COHERENTLY THAN MY TEACHERS TYSMMMMMMMM

@TheGCSEMathsTutor 2 года назад

So glad to hear the channel is working for you! Great news 😁🙏🏼

@aqacquires4243 2 года назад

agree

@jbait9969 Год назад

Dont lie g

@aife1398 9 месяцев назад

@@jbait9969 the guy aint lying dude, the guy is pretty helpful

@Love.every.bit.of.life123 6 месяцев назад

Imagine entering this with an empty brain and finishing the video with the highest knowledge...I dont know how to thank you, I have a exam in a few days and I understand everything in Maths except this one and I struggled a lot. But now I can finally go in and finish my assessment with full confidence that a teacher here gave me. 👌

@TahsinRahman-hl9zh 20 дней назад

Lol

@TahsinRahman-hl9zh 20 дней назад

Did u do ur gcse this year How did it go bro?

@Love.every.bit.of.life123 17 дней назад

@@TahsinRahman-hl9zh nah I'm doing it next year, finished year 9 tho. But this actually helped me do better in the maths test

@Love.every.bit.of.life123 17 дней назад

@@TahsinRahman-hl9zh we start GCSE from year 10, but idk about other countries🫠

@TahsinRahman-hl9zh 17 дней назад

@@Love.every.bit.of.life123 yooo bro same 💀

@sapna1387 3 года назад

doing last min revision, have a mock in few hours, this is really helping. thankyouu sir

@sapna1387 2 года назад

@CompanyOwner ⤴️ okay so I got a grade 8, so happy with it, I was really expecting a 7 but then ig this really helped cuz he goes thru so many exam questions which are similar to the ones found in the exam papers.

@Sophia-ok4ce 2 года назад

@@sapna1387 yayy that’s so good well done :)

@anwar4649 2 года назад

Omggg mine is in 10 hours 😭😭

@elise7407 2 года назад

@@sapna1387 me right now

@okay4567 2 года назад

same lmao it’s 4am

@yasminx5845 2 года назад

who has the audacity to dislike a video of someone so kind just spreading his knowledge and helping others bruh

@kreemafham 3 месяца назад

they the ones who failed

@kkbossop7223 2 года назад

This youtube channel is seriously the reason I topped in my exams. like so many of the questions he discussed in some of his videos came and I could solve them easily. Cant thank you enough bro. Every topic in my syllabus I'm learning from you. first I see the question and try to solve myself, if I am stuck then I continue your video, best way for practice.

@to_discover_life 2 года назад

exactly the same for me

@lukethody5035 Год назад

The intro is so groovy, I wish all teachers at school started a lesson like that

@kreemafham 3 месяца назад

it gets annoying when its your 20th time or smthing

@lukethody5035 3 месяца назад

@@kreemafham lmao true... no way that's from a year ago that's wild

@kreemafham 3 месяца назад

@@lukethody5035 are you doing cambridge or edexcel? i have my maths paper 2 in 4 days :(

@Tcurrcrcrb 3 года назад

really helpful ! I find quadratics hard usually but you have made it easier, thank you.

@TheGCSEMathsTutor 3 года назад

Amazing news! Always great to hear that the channel is helping so thank you for the kind words! 😁👌🏼👌🏼

@jamesalster4304 3 года назад

@@TheGCSEMathsTutor if i solved all of these questions via completing the square will i still get the marks or not?

@alecanicecuppatea 2 года назад

@@jamesalster4304 it depends on the question, it may say solve by factorising or solve by completing the square

@Sportcat01 2 года назад

Thank you so much! My maths teacher gave me a sheet on these type of questions and first of all I got 2/20 and now I’ve watched this video I did the sheet again and I managed to get 19/20 thanks so much! Your explaining is top notch!!

@TheGCSEMathsTutor 2 года назад

Wow that’s some incredible progress right there! Well done for going out of your way to find this video and revise it in order to improve, I love it when hard work pays off and here it clearly did! Well done 😁 are there any other topics you’ve struggled on?

@Sportcat01 2 года назад

@@TheGCSEMathsTutor thank you sometimes yeah , the topic I’ve struggled most on is probably surds . I’ve watched your videos and it helped me understand it a bit better so thank you👍 just practise is the key for me and trying to attempt more questions . I’m in year 10 so plenty of time to attempt more kind of questions . Just a couple topics maybe I struggle on and could do with your spectacular help . Firstly , I have said this and you said you will try and make a video on it . It’s about like typical exam questions in higher paper when the involve fractions , and percentages and there usually like 4-5 marks . Another one is probably angles in a typical exam question . For example, a lot of maths test papers I’ve done particularly in higher, they are like 3 triangles joined together and they may say find x, y, z they are mostly kind of questions I’m stuck on. So perhaps can you do a video on that too? Also just one more question related to quadratics : for example simple quadratics like x^2 + x+ 2 - will they only appear on foundation paper?

@TheGCSEMathsTutor 2 года назад

@@Sportcat01 Aaaah great news! Surds is my favourite, I’m planning to make a few new videos on surds once I can! Definitely just keep practicing them! And yes I’ve got the fraction/percentages one on the list, I’ll have to see which angles questions you’ve been looking at, I’ve done some in parallel lines etc that may be helpful? The last one there sounds like factoring a quadratic, I’ve done a few on both expanding and factorising quadratics in the algebra playlist that appear on both exam tiers have you found them? 😁🤞🏼

@Sportcat01 2 года назад

@@TheGCSEMathsTutor thanks for the videos your going to do on the fraction/ percentages Yes one of them was for example in parallel lines and I’ve watched your tutorial too and it’s much more understandable but sometimes in the exam paper, it’s in a format and there are lots of lines and there is for example an area where I get stuck .also what I sometimes got confused on was if the angles are corresponding, alternate or interior . But sometimes they’re like joined together with no parallel lines and that’s when I get confused on

@TheGCSEMathsTutor 2 года назад

@@Sportcat01 you asked for fractions, percentages and ratio and here it is: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-YFcc2jx0_A8.html 😁🙏🏼 really hope it helps!!

@Nehselo 9 месяцев назад

I DID IT!!!!!! THIS WAS SO DIFFFICULT FOR ME BUT FINALLY I SOLVED QUESTIONS BY MYSELF THANKYOUUUUUUU SO MUCH YOU ARE THE REASON WHY I SUCCEED MAY GOD BLESS YOU YOU ARE THE BEST I SWEAR

@claireshoniwa5801 11 месяцев назад

This video really helped my disabled classmate Jordan we are forever thankful

@noannboussac7551 4 месяца назад

you are carrying my revision!

@sabihbehzad441 6 месяцев назад

I was struggling so much on these harder quadratic factorising but after watching this video I rally understand. thanks SO MUCH

@sinaisafo5300 4 года назад

sooooooo helpful i literally have on online test since this coronavirus thing got the uk on lockdown tomorrow and have just been looking for videos on utube

@TheGCSEMathsTutor 4 года назад

Sinai Safo Great to hear! Tonnes of videos in the playlists just let me know if there are any topics you are looking for 😁🙏🏼

@sinaisafo5300 4 года назад

@@TheGCSEMathsTutor oh my gosh thank you sooooooo much

@TheGCSEMathsTutor 4 года назад

Sinai Safo No problem at all! 😁🙏🏼

@janestrachan Год назад

you've LITERALLY saved my life. I can't thank you enough!

@ItsMe-eu9br 4 года назад

Thank you so much for your help! Just started revising for GCSEs 2021.

@TheGCSEMathsTutor 4 года назад

It’s Molly Amazing! Plenty of content on here to keep you going! 😁🙏🏼🙏🏼🙏🏼

@itsluke6851 3 года назад

Same here

@ItsMe-eu9br 3 года назад

@@itsluke6851 good luck!!

@Unknown-wp8pu 3 года назад

same here bro. Good luck

@ItsMe-eu9br 3 года назад

@@Unknown-wp8pu same to you!!

@magpiestudent9357 2 года назад

It really pays to have good mental arithmetic when solving the more complicated quadratics quickly. Mine is lacking so it takes me ages. I'm hoping with increased practice I will improve and get quicker. Listing the factor pairs helps a lot.

@carolynmitra8837 3 года назад

For the last question (9x -15) (x+1) works too

@marxcarton3858 2 года назад

no, it doesn't factorize fully so, it would be 3(3x-5)(x+1)

@anonymous99923 Год назад

@@marxcarton3858 well his answer of (3x+3) also isn't factorised fully

@Khaldoon.Arshad10 Год назад

Love ur videos. Thank u sooo much. Helped me since i started secondary now im in yr 10!!!!!🥇🥇😀😀😀♥️♥️

@TheGCSEMathsTutor Год назад

So glad to hear it! Can’t wait to hear how you progress with another year, good on you for starting early! 👏🏼👏🏼

@rogueart9100 Год назад

i couldn’t understand any of this when it was taught and i just completely learned it from you in 15 minutes , fair play

@fourspinners6981 3 года назад

Love the video ! in fact you havent made one bad video that i have seen. Did a maths test today and without you wouldnt have done well , so thank you very much !

@redoract5534 Год назад

honestly everything I don't understand, you make it look like 2+2

@TheGCSEMathsTutor Год назад

I’m so glad to hear that! Always great to hear the channel is working for you! 😁👌🏼

@tenshikaede Год назад

Literally your explaining skills are beyond amazing

@muhammad984 Год назад

why do i have to go to maths class when i can learn from this guy?

@amadif1793 3 года назад

Thank you for making these topics easy to understand 👍

@Mislam-ql2bz Год назад

thank you so much you explained it better than my teacher

@pacifique6725 Год назад

Guy is an absolute legend.

@AJ-hj8bb 3 года назад

Thank you for this! I've finally found a method i actually understand :D

@studyaccount7451 Год назад

i love your videos and have watched almost oall of them because they're that great but please lower the volume for your intro 🥲😭😭

@officialfallguystips6825 4 года назад

Hey sir these are amazing videos they are really helping me with the higher paper I was thinking can you do a video on vectors.

@TheGCSEMathsTutor 4 года назад

Florjan Toro Thanks for the feedback I’m glad they are helping! I will add vectors to my list for you, I’ll post the link here once it’s done! 👍🏼

@officialfallguystips6825 4 года назад

@@TheGCSEMathsTutor thanks a lot

@officialfallguystips6825 4 года назад

Oh and sir if you don't mind can you make a video on algebraic proof hard ones

@TheGCSEMathsTutor 4 года назад

Florjan Toro Another one added to the list 👍🏼

@officialfallguystips6825 4 года назад

thank you

@yemon 2 года назад

thank you so much, my finals are tomorrow, and I am trying to learn everything before it. thank you so much

@TheGCSEMathsTutor 2 года назад

Amazing news! I’m so glad to hear the channel is helping 😁🙏🏼

@shabadkaur6465 3 года назад

Awesomely Flawless explaination

@TheGCSEMathsTutor 2 года назад

Love that 😁🙏🏼🙏🏼

@shabadkaur6465 2 года назад

@@TheGCSEMathsTutor Sir I have a few doubts. Plz let me know when available

@quinamasarira2116 3 года назад

thank u. you are going to help me pass, the 2021 may/june IGCSE exam.

@khadijamuntaha8252 3 года назад

thanks so much, school right now is really stressful so great vid!

@MrGodlyBacon36 2 года назад

much love bro helped out so much for revision!

@TheGCSEMathsTutor 2 года назад

So glad to hear that 😁🙏🏼

@omz2683 4 года назад

Thanks man very useful keep it up👏

@TheGCSEMathsTutor 4 года назад

Thank you! I will do 😁🙏🏼

@StudyWithTeaAddict Год назад

For the last question, wouldnt (9x - 15)(x + 1) also work? Can you have multiple versions of factorising something and all of them be right?

@gabbyidk5428 10 месяцев назад

that's what I was thinking, I got the same

@noahbackson2613 7 месяцев назад

nah bro you genuinely helped me so much

@nasradaoud9383 2 года назад

I’ve been bing watching GCSE maths tutor very nice, is there an algebraic fractions part 2 since there is a part 1?

@Joe_auto Год назад

thank you so much i tried so many sites dr frost senca nothing i almost gave up till u just made me a 10/10 on this topic i find it very very easy now tysm

@camzyboxedyou6870 6 месяцев назад

Should you do this or the grouping method ?

@unclecondog9807 Год назад

you are an absolute legend

@TahsinRahman-hl9zh 20 дней назад

Also u can also factor these by grouping

@sinaisafo5300 4 года назад

can u do one on loci and bearings pls

@TheGCSEMathsTutor 4 года назад

Sinai Safo Bearings here - ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-RMDl6zmuSF0.html but Loci is going to be a bit delayed as I need to do this using a camera and still working out the best way and getting to a shop to buy equipment is not an option at the moment 😥🙏🏼

@tk.3185 Год назад

Say for example the question at 12:58 How do you know whether to use (6x )(x ) Or (2x )(3x )

@Anime_World1168 3 года назад

this man i saving my life

@balsammohammed9140 6 месяцев назад

hello quick question, would (x+2) (2x+6) be incorrect for the first question that we got to do, because when i expanded the brackets i got 2x^2+11x+12

@amaan1549 2 года назад

Can you put the marks alongside questions so we can get a rough idea of how much time to spend on the question in an exam situation?

@TheGCSEMathsTutor 2 года назад

I’ve completed the GSCE curriculum now but my revision guide coming soon should be helpful for that 😁🙏🏼

@qui-wan1977 Год назад

Thankyou so much! Your videos have been soooo useful :)

@erenyeager6668 Год назад

i fully appreciate it sir

@tess6484 Год назад

hello sir shouldnt the last one be (9x-15)(x+1)?

@klaidi9294 2 года назад

what if you factorise different but still get the same answer when you expand would you still get the mark for the answer?

@SP-sq6rr 3 года назад

For the question at 10:44, I did it a different way and got (6x + 6) (x + 2). Is it still correct?

@TheGCSEMathsTutor 3 года назад

There are often two ways to factorise these harder quadratics, expand it out and see if it matches, always the best way to check 😁🙏🏼

@SP-sq6rr 3 года назад

@@TheGCSEMathsTutor thank you

@fozyleen9737 3 года назад

Thank you so much for this !

@ausa0717 2 года назад

this was rlly helpful thanks

@Humnaliii 2 года назад

for the last question does it matter which way round i wrote the numbers ?

@ha1der06 4 месяца назад

im not understanding why one will double and the other will triple?Can anyone help 9:25

@ram1588 3 месяца назад

6=3X2

@esosaae9296 7 месяцев назад

THANK YOUUU SO MUUUUCH

@user-wk6xu2rj8o 7 месяцев назад

ive seen other people use another method. is this method easier ??

@efaclip5938 9 месяцев назад

Super helpful! Tysm

@user-fy5yf2jt3n 2 года назад

Hi is there a spefic method for factorising quadratics with x squared, y squared, and xy

@yooheyy9934 Год назад

excuse me but how can i differentiate whether it is a factorising quadratic question and a harder factorising factor though because both types of questions look the same

@moonboo3mwah193 Год назад

THANK YOUUUUUU AHHHH!!!!

@TheGCSEMathsTutor Год назад

My pleasure 😁🙏🏼

@lailataluminousnight8064 3 года назад

Thank you very much sir

@carlosdano849 10 месяцев назад

Does it matter which way u put the numbers. For example can it be (3x-3) (3x+5) (3x+5) (3x-3)

@teamsupers9046 9 месяцев назад

Yeah

@ZZZ-le6xd 22 дня назад

it doesn’t matter

@tsTURTLE 2 года назад

in 9:04 what if we use the other pair( 6x )(x )? will that also be alright?

@enta3325 Год назад

im here from the simultaneous equation video loll i was so lost with the (5x+4)(x-2) thing

@kyzah9123 4 года назад

Thanks this really helped

@mc45892 2 года назад

hi how do you know which number to put in the brackets when you have found the factors

@Legend34343__ Год назад

Can someone explain the steps to this problem: x^2+10x-24=0, solve for x, please help

@b07x Год назад

You have to use *Completing the Square* method for that. x²+10x-24=0 You half the *b* (which is 10, 10÷2=5) and you put it in the following format (x+5)² then take away (b/2)² (5²=25). so (x+5)²-25 then add the *c* So (x+5)²-25-24=0 (x+5)²-49=0 (x+5)²=49 x+5=(49)½ (Square rooted both sides) x+5=7 x=7-5=2 Now check it (2)²+10(2)-24=4+20-24=24-24=0 Solved 🙂 x=2

@abdikaadirnasir 5 месяцев назад

Thanks❤

@sandramoh1763 Год назад

thanks so so much!!

@arbab_03 2 года назад

Life saver!❤️❤️

@dinislam5616 3 года назад

Spectacular video, however I had one question. Does the order of the brackets matter, like I had the same values but I put the first set of bracket before the second set of bracket?

@gurleeeen5328 2 года назад

yah same but i dont think the order matters bc when ur multiplying it all gets multiplied yk

@dinislam5616 2 года назад

@@gurleeeen5328 aight bet thanks

@marxcarton3858 2 года назад

at (13:54) couldn't the answer also have been 3(3x-5)(x+1)

@Hadia-xj4ni 5 месяцев назад

Why couldn’t you pick 1 and 4 and have to pick 1 and 2 someone please explain I’m very confused

@yassinessam2371 Год назад

You are the GOAT

@_angeell 3 года назад

4:30, hello, i'm confused on why you have to double one of the factors?

@ZZZ-le6xd 22 дня назад

Because the coefficient is 2

@jasopyuh Год назад

Please come up aswell

@darnellbailey5038 2 года назад

thank youu👌🏾

@moisheschleider6189 3 года назад

thanks so much you really helped me understand this topic

@HaZecLaN-eu 8 месяцев назад

10:48 was wrong, you didn’t swap the numbers

@Anolahmusic 3 года назад

Ur videos have been super duper helpful so far but I am so confused about the 2x^2-9x+10 because You doubled the 2 =-4 which was paired with - 5 but that doesn't multiply to positive 10?? Sorry lol its probably a really easy mistake but I was boggled

@alisha3771 3 года назад

the final answer is (2x-5)(x-2) because you have to go back to the original factors of 10. there is a -2 instead of a -4 because that will eventually get multiplied with 2x to get 4x. if you expand it out, you get positive 10 as -5 times -2 = 10.