Higher level completing the square, write in the form a(x + p)squared + q

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This video is all about completing the square and forms part of the higher level playlist of the same name. I've also added to the playlist on GCSE higher revision.

This question is a little difficult as you need to work with fractions. On that basis it's likely that this would be around level 7 - 9, although there's only a few marks available.

Write in the form a(x + p)squared + q

4xsquared + 8x - 11

I hope the video helps and please do leave a comment - thanks!

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The course contains around 3 hours of video, quizzes and a copy of my book 'How to get an A in maths.' All the way through to GCSE and just in time for revision.

Visit playlists to help you get more from your studies

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How to solve linear equations

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Please add a like if you'd like more of these videos!

minutemaths
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ive been looking for this method to answer this questions! i prefer it way more and it easier and less confusing for me

susanx
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this explanation is so much easier than how i was taught to complete the square!! u are a life saver

정이-uz
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You have explained it better than my lecturer, you're the best you know 😊

chendasinyangwe
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Thanks! You’re the best for exam cramming (it’s nearly twelve AM now)

syedmohammadwasi
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You're a life saver. Thank you so much

ChadThunderck
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Thank you so much mate. I’ve got my IGCSE exam in 2 hours and you’ve been a great help

fariskhedr
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explain to me well so that I can explain better in my class

ChikuwawePhiri
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The video content is so excellent, congratulations

mishamisha
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I’m so confused, where’d you get the +1 when you expanded it on the side there

sball
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Simultaneous equations graphically plz

HassanAhmed-wpot
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Thanks for sharing! I posted a video on completing the square using remainder theorem. Hope to get your opinion on it.

eipimath
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Why does +1 become -1 when it’s plugged into the square?

toxicology
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can you do upper and lower bounds please

AdamN
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hi can you help me with this question 3x^2 + 6x - 4
I keep getting 3(x+1)^2 - 7
but my book says it should be 3(x+1)^2 - 8

JR-wwmr
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Sirrr how you get (x + 1)² from (x² +2x)???😭😭😭

awanmendung
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how did you do it can you share with me, thank you

huyenhuyen
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Hello Simon, Thank you for your videos - I am confused about a particular part of a question. The question is write in the form p(x+q)^2 + r, the following 4x^2 -14x -5. I know how to work it out but I am wondering why the 14/4 is simplified to 7/2. I understand we divide by 2 the numerator and denominator but why?

fqulzam
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can you please change the introduction song, the sound hurts my ears 😑😞, love the vids by the way😃😃

mehroos