The Discriminant | Algebra | GCSE Further Maths

No video

The Discriminant | Algebra | GCSE Further Maths | A-Level Maths Series

Рет қаралды 49,643

Күн бұрын

A video revising the techniques and strategies for working with the factor theorem (GCSE Further Maths & A-Level Only).
This video is part of the Algebra module in GCSE Further Maths & A-Level maths, see my other videos below to continue with the series.
👑 Everything you Need to Pass your AS Pure Maths Exam! A* | AS Pure Maths Revision | Edexcel AQA & OCR - • Everything You Need to...
Don’t forget to check these videos out first:
The Quadratic Formula | Grade 7-9 Maths Series | GCSE Maths Tutor • How to Use the Quadrat...
Completing the Square & Turning Points (Higher Only) | GCSE Maths Tutor • Completing the Square ...
Solving Quadratics by Completing the Square | Grade 9 Series | GCSE Maths Tutor • Solving Quadratics by ...
Simplifying Surds | GCSE Maths Tutor - • Surds (Part 1) Simplif...
Algebra Series:
Part 1 - Index Laws - • Index Laws | Algebra |...
Part 2 - The Discriminant - • The Discriminant | Alg...
Part 3 - Sketching Quadratics - • Sketching Quadratics |...
Part 4 - Sketching Cubics - • Sketching Cubic Graphs...
Part 5 - Quadratic Simultaneous Equations - • Quadratic Simultaneous...
Part 6 - Quadratic Inequalities - • Quadratic Inequalities...
Part 7 - Reciprocal Graphs & Asymptotes - • Reciprocal Graphs and ...
Part 8 - The Factor Theorem - • The Factor Theorem | A...
Part 9 - Binomial Expansion - • Binomial Expansion | A...
🔹 Watch the video
🔹 Make notes
🔹 Practice the questions
🔹 Mark your work
🔹 Review what you have learnt on the exam questions
Please like ✅ please comment ✅ please subscribe ✅
Enjoy the video!
These are the calculators that I recommend:
Casio fx-83GTX Scientific Calculator, Black - amzn.to/2P2cyGG
Casio Fx-991ex Scientific Calculator Fx 991 Ex - New + 552 Function - Classwiz - amzn.to/2sw2Moz
Follow me here:
Instagram: ...
Twitter: / gcsemathstutor
Music: Aero
Site: icons8.com/music/
Music: Over N Over
Musician: Not The King.👑

Пікірлер: 70

@TheGCSEMathsTutor 4 жыл бұрын

If anyone would like to support the channel you can buy me a coffee here: www.buymeacoffee.com/gcsemathstutor Thank you for all of your support! 😁🙏🏼

@thekuba9352 4 күн бұрын

Even 4 years later and a new year starts, time for A-levels and GCSE maths tutor is here to bless me with free lessons. I truly thank you.

@daniel4486 4 жыл бұрын

GCSEs are cancelled, and I’m never doing maths again so it’s time for me to go. Good luck for the future and thank you for all the help!

@TheGCSEMathsTutor 4 жыл бұрын

Thank you so much for being part of the channel, I wish you the very best for the future, I’m glad I could be of help! 😁🙏🏼

@quranwithayshee4098 Жыл бұрын

You saved my gcse maths, please make more A level videos, you are the best maths teacher in the universe 💖

@II_official448 8 ай бұрын

hello sir PLEASE PLEASE DO STATISTICS AND MECHANICS FOR A LEVEL IM BEGGING YOU PLEASE FIND SOME TIME TO MAKE THEM I DONT WANT TO FAIL PLSSSSSSSS YOUR SUCH A GOOD TEACHER

@YK-qo6uf 4 жыл бұрын

Love this - taking further maths and maths for a level

@TheGCSEMathsTutor 4 жыл бұрын

Y K Amazing news! 😁🙏🏼🙏🏼

@facts-ec4yi Жыл бұрын

just leaving a comment for the algorithm. Very helpful video!

@shafinbepary2000 Жыл бұрын

I never knew TGMT did A levels. I thought i would unsub after my 2022 gcse but here i am! amazing!

@TheGCSEMathsTutor Жыл бұрын

More to come too!! Glad to hear you are doing a-level maths 😁🙏🏼

@Iznaaicovers 3 ай бұрын

@@TheGCSEMathsTutorcould u do further maths gsce?

@TheGCSEMathsTutor 2 жыл бұрын

👑 Everything you Need to Pass your AS Pure Maths Exam! A* | AS Pure Maths Revision | Edexcel AQA & OCR - kzfaq.info/get/bejne/i897iaWkza-zpmg.html

@SAVIORPAF 3 жыл бұрын

Because of you i get grade 9 in maths gcse now gonna get A* thanks for all the help😊❤

@TheGCSEMathsTutor 2 жыл бұрын

Amazing news!!! Congratulations on your grade 9 what an achievement!! Any A-Level content you’d like to see? I’ll do my best to finish that this year 😁🙏🏼

@SAVIORPAF 2 жыл бұрын

@@TheGCSEMathsTutor i just want the go through videos as by topic as you did for gcse if can i would be very much grate ful of you.because i dont really understand anyone else this easily so yh😅btw thankyou very much for all the effort you put in these videos:)

@TheGCSEMathsTutor 2 жыл бұрын

@@SAVIORPAF I will try my absolute best to start getting some more up! Fortunately I’ve already done a good chunk for the start of the year, half term I’ll be aiming to get a huge chunk completed hopefully! So glad to hear it’s working for you 😁🙏🏼🙏🏼

@nchitalkar178 4 жыл бұрын

Okay perfect. If possible could you make a few playlists on each topic for instance: Proof Algebra Coordinate geometry... That would be really helpful as I am loving your videos and it looks so easy because of the quality of teaching. Thanks

@TheGCSEMathsTutor 4 жыл бұрын

Thank you for the kind words! I will be doing individual videos for everything but I won’t be doing AS playlists as the content isn’t as large as say the GCSE curriculum! The whole thing should only be around 40-50 videos to cover the 13 chapters 😁🙏🏼

@nchitalkar178 4 жыл бұрын

@@TheGCSEMathsTutor oh great when will the videos be available will I have to buy them...?

@TheGCSEMathsTutor 4 жыл бұрын

Science and math with Tom I’ll be making them over the course of the next term, and absolutely not the tutorials will always be free on my channel 😁🙏🏼🙏🏼

@nchitalkar178 4 жыл бұрын

@@TheGCSEMathsTutor I appreciate the hard work you are putting in for our benefit. Regards

@hadi7053 4 жыл бұрын

Thank You, I’m taking maths for A-Level❤️

@TheGCSEMathsTutor 4 жыл бұрын

Amazing news! I’ll be doing a lot more a-level videos over the coming weeks 😁🙏🏼

@mohammadhosseinasadifard9973 4 жыл бұрын

Thank you I didn’t understand some of it but I will rewatch hopefully I understand it even though I’m doing it next year

@TheGCSEMathsTutor 4 жыл бұрын

Mohammad Hossein Asadi Fard Great idea to rewatch it at a later date! This is something that I would spend 2-4 lessons on potentially so it would be phenomenal if you managed to fully understand every aspect in one go! Keep up the fantastic work, great preparation for next year!! 😁😱

@henryhunter1773 Жыл бұрын

This is so much easier to understand than the way my teacher explained it to me!

@leila9139 11 ай бұрын

after watching your videos everything becomes perfectly clear! thank you so so much :)

@williamjames9466 3 жыл бұрын

Excellent video - concept well explained with good example. Sadly, I found the background music distracting.

@TheGCSEMathsTutor 3 жыл бұрын

William James Great to hear! Thanks for the feedback, the background music was experimental, I have since removed it but I’ve had very mixed reviews of it, some love it and others don’t! Hopefully it didn’t have too much of a negative impact!!

@isabdel3975 2 жыл бұрын

thank u i got 9 in my GCSE

@TheGCSEMathsTutor 2 жыл бұрын

Amazing news congratulations 🥳🥳

@tigress0076 2 жыл бұрын

27:00 since it says real roots and not distinct real roots, shouldn’t the discriminant be > or = 0?

@GCSEALevelMaths 2 жыл бұрын

Excellent video sir I’ve only just come across this one!! Wow!!

@LeeLarner 3 жыл бұрын

interesting how easy this becomes when you look back once your taught a level further maths because you obviously start talking about imaginary numbers of sqrts being negative and the letter i=-1 appearing

@TheGCSEMathsTutor 3 жыл бұрын

Absolutely! The further you take mathematics the easier those early stages seem! 😁🙏🏼🙏🏼

@karasepicgaming9290 3 жыл бұрын

I think this is GCSE aswell it was in my mocks

@Aoife-vg1zk Ай бұрын

Thank you! Do you cover the whole aqua a level course?

@epixzofficial2947 18 күн бұрын

i think the content is the same for all courses and this channel covers the entire a level course

@MissileGuidance 9 ай бұрын

Hi I'm watching this for entertainment I think I'm a nerd lol

@dacm5079 3 ай бұрын

Yes u r 💀

@-_Blitz_- 2 ай бұрын

No way bro 💀

@user-xr8hb3cy7j Жыл бұрын

hi sir, pleade, please can you do more maths A-level revision videos they help so much!

@jordog3550 4 жыл бұрын

@9:00 you made a typo, the first question asks to find the discriminant of an equation then state if another equation has 2 equal, distinct or no roots

@TheGCSEMathsTutor 4 жыл бұрын

Whoops! Thanks for pointing that out 😂🤦🏽 it’s been a while since I did that! I knew it was going too well to be true haha!

@jordog3550 4 жыл бұрын

@@TheGCSEMathsTutor lool its alright, thanks for the help, I feel very confident for alevel maths now

@TheGCSEMathsTutor 4 жыл бұрын

Egavas Gaming Amazing news! Plenty more to come so keep an eye out 😁🙏🏼🙏🏼

@user-si3jr3nn7o 4 жыл бұрын

Sorry, I'm confused. Is this video for both A level maths and A level Further Maths?

@TheGCSEMathsTutor 4 жыл бұрын

S 123 That’s it! 😁🙏🏼

@Niko_.YouTube 3 жыл бұрын

For your second example wouldn't it have 1 real root as it equals to 0? 7:15

@TheGCSEMathsTutor 3 жыл бұрын

A root is where it crosses the x-axis, you can see that it doesn’t actually cross the x-axis so therefore there are no real roots, just because you set it equal to 0 doesn’t mean there will be any solutions, you can check by trying to factories/using the quadratic formula but you will see it can’t be solved when equal to 0 😁🙏🏼🙏🏼

@Josama0214 7 ай бұрын

@@TheGCSEMathsTutorIt does Touch the x Axis so there is One real Zero for the function. When the discriminant is = to 0 then that means the Quadratic equation has 1 real root that's one of the rules

@hxvoc_7708 Жыл бұрын

Can you pls explain 26:53, I don't understand the -1 substitute thing If you put -1 and expand wouldn't it be equal to 0 or are you not supposed to expand I'm confused on this part

@rKaraa 2 ай бұрын

im so confued at 15:37 its says EQUAL ROOT so p can equal zero and 3 becuase if u sub those in the equation they both equal zero

@nchitalkar178 4 жыл бұрын

Does the 23 videos cover most of a level pure?

@TheGCSEMathsTutor 4 жыл бұрын

Science and math with Tom They cover a large chunk of the AS Pure curriculum, there are still another 20 ish videos though to cover it completely I think! A few more stand along topics and a few more extensions to those I have already made! 😁🙏🏼

@wolowizard4441 2 жыл бұрын

With the first example with a = p, wouldn't that have no real roots? As it doesn't equal 0, it equals a negative number

@hxvoc_7708 Жыл бұрын

At 21:12 why would it be 1 and not 1k or k where did the K go when completing the square? Wait nevermind I just realized

@MegaBanannaman 2 жыл бұрын

Thanks TGMT. One question.@ approx 16:25, why do we use --8P to get +8P instead of 16--8P to get 24P ?

@smkmahimakhan6341 Жыл бұрын

This is a bit late, but there are two points here: 1. a minus and a minus (two negatives) equal a positive(+). It's just a rule. Since the discriminant is b^2 - 4ac, the minus is already there, and so the negative in the discriminant with the negative in -8p with equate to a positive. 2. even if it was +8p, 16-8p would not be 24p because you have to think of the rules of BIDMAS, or BODMAS. Whatever you were taught, they mean the same thing. BIDMAS states that multiplication comes before addition or subtraction, which means you would have to multiply 8 with p FIRST and THEN add it to 16, as you are not multiplying 16 with p as well, so the p is NOT part of the 16. They are separate. Which therefore gives 16 + 8p. Hope that helped. If I made a mistake, anyone can correct me. I just in year 10 so I don't have much A-Level knowledge yet.

@tigress0076 2 жыл бұрын

15:09 i thought you’re not allowed to divide by a variable because you’d be getting rid of solutions?