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1. i got 2 questions that im stuck on, please tell me the method, i can use that then to find the answer. put the answer in the spoiler if u want so i can compare perhaps

Factorise 2x^2 - 11xy + 5y^2

i've never came across this type before

and also

simplify expression, leave answer in factorised form

x^2 + 4x + 3
----------------
x + 1

thank you!
2. (Original post by ihatePE)
i got 2 questions that im stuck on, please tell me the method, i can use that then to find the answer. put the answer in the spoiler if u want so i can compare perhaps

Factorise 2x^2 - 11y + 5y^2

i've never came across this type before

and also

simplify expression, leave answer in factorised form

x^2 + 4x + 3
----------------
x + 1

thank you!
For the first don't be thrown off by the y's. Just go about it like an ordinary quadratic. Not really sure how other to explain this than by an example. Consider . We are just going to treat it as a normal quadratic and so we want to find two numbers which multiply to give y^2 and sum to give 2y. y and y satisfy this. Hence . Now try it with your's.

For the second, assuming it is meant to be then factorise the numerator.
3. (Original post by 16Characters....)
For the first don't be thrown off by the y's. Just go about it like an ordinary quadratic. Not really sure how other to explain this than by an example. Consider . We are just going to treat it as a normal quadratic and so we want to find two numbers which multiply to give y^2 and sum to give 2y. y and y satisfy this. Hence . Now try it with your's.

For the second, assuming it is meant to be then factorise the numerator.
sooo sorry, i meant 11xy but other than that i understand your explanation thank you
4. (Original post by ihatePE)
sooo sorry, i meant 11xy but other than that i understand your explanation thank you
It's OK, I meant 2xy in my example too whoops.
5. (Original post by ihatePE)
sooo sorry, i meant 11xy but other than that i understand your explanation thank you
(2x-y)(x-5y)

use AC method
6. (Original post by under8ed)
(2x-y)(x-5y)

use AC method
what is AC method?
7. (Original post by ihatePE)
what is AC method?
The method you use to solve quadratics, i suspect you do this without realising

https://people.richland.edu/james/misc/acmeth.html

This simplifies it, take the 'a' to equal 2 and the 'c' to equal 5
8. (Original post by 16Characters....)
It'is OK, I meant 2xy in my example too whoops.
Attachment 507219507221

Hope this helps slightly, not sure if it's the AC method but it's what I do.
Attached Images

9. (Original post by ScienceFantatic)
Attachment 507219507221

Hope this helps slightly, not sure if it's the AC method but it's what I do.
I know how to factorise a quadratic, I do not however know how to proofread. You may wish to quote the OP here instead of me...

Edit: Though thank you for trying to help out.
10. (Original post by 16Characters....)
I know how to factorise a quadratic, I do not however know how to proofread. You may wish to quote the OP here instead of me...

Edit: Though thank you for trying to help out.
You're right I did quote the wrong person, sorry!

ihatePE
11. (Original post by ScienceFantatic)
You're right I did quote the wrong person, sorry!

ihatePE
oh thanks! i'll use this for other questions i have now
12. (Original post by under8ed)
(2x-y)(x-5y)

use AC method
??
13. (Original post by TeeEm)
??
I didnt realise other people arent taught this, its just a logical way of solving a quadratic
14. (Original post by under8ed)
I didnt realise other people arent taught this, its just a logical way of solving a quadratic
What school year are you in?
15. (Original post by ihatePE)
i got 2 questions that im stuck on, please tell me the method, i can use that then to find the answer. put the answer in the spoiler if u want so i can compare perhaps

Factorise 2x^2 - 11xy + 5y^2

i've never came across this type before

and also

simplify expression, leave answer in factorised form

x^2 + 4x + 3
----------------
x + 1

thank you!
If you can't see it intuitively maybe then set (c is a constant) and notice (hopefully) how this can be factorised in the normal way
16. (Original post by TeeEm)
What school year are you in?
yr 11
17. (Original post by under8ed)
yr 11
No worries ... some teachers teach some very exotic approaches
For most students which take maths beyond GCSE, factorizing a quadratic requires no particular method.

All the best!

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