Oxford University Maths Admissions Test 2023 Question 9

University of Oxford Mathematician Dr Tom Crawford answers each Oxford Maths Admissions Test question in under 60 seconds. This is Q9 from the 2023 MAT.
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[@lucidreconalt3229]

This was a much easier way to solve it then i did, when i saw it i jumped straight to setting f(x) = x(ax^2 + bx + c) and getting 3 equations in terms of a b and c using f(1), f(2) and the fact that b^2 -4ac = 0 from the repeated root. Although the time i used was not worth 4-marks i was still happy with my solution.

[@quantumgaming9180]

That's a cool solution too

[@maynardtrendle820]

The TH-cam 'Short' display is blocking part of the question. The word "dislike" is in front of a key value. Even if it were apparent, I probably would have been wrong.😢

[@lightshadernft8156]

Its 2

[@canyoupoop]

Lmao just click on the comment box, drag and readjust the size 🤣🤣🤣

[@cariboubearmalachy1174]

These questions are so depressing.

[@quantumgaming9180]

How so? For me they seem refreshing

[@cariboubearmalachy1174]

@@quantumgaming9180 They're too hard.

[@ynaf4928]

Again, you did it way more easily and faster than I did, but this one was so fun

[@abdullahmunawar9517]

Sir, which college do you teach at

[@lucidreconalt3229]

He teaches at Oxford and Cambridge university.

[@rls5907]

From his website: Tom is a Mathematician at the University of Oxford AND the University of Cambridge. At Oxford, he holds the position of Fellow by Special Election at St Edmund Hall and Public Engagement Lead at the Oxford University Department for Continuing Education. At Cambridge, he is a Lecturer in Applied Mathematics at Robinson College.