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1. How do you factorise 2x^2 - 3x

I understand you factorise by taking out a common factor, will the factor be X making it x^2 - 2x?? Or am I just being silly, I feel as if it is a simple question but I am going through a mind block! And I'm guessing it's not as simple as x(2x-3)??
2. 2xx -3x

x(2x - 3)*
3. Yea it is that simple

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4. (Original post by miaofcourse)
How do you factorise 2x^2 - 3x

I understand you factorise by taking out a common factor, will the factor be X making it x^2 - 2x?? Or am I just being silly, I feel as if it is a simple question but I am going through a mind block! And I'm guessing it's not as simple as x(2x-3)??
You are correct just take an x out of both of them
5. (Original post by HFancy1997)
Yea it is that simple

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Oh god after an hour of doing hard quadratics when I saw that question I thought it must be a trick!
6. (Original post by timebent)
You are correct just take an x out of both of them
Thank you so much!!
7. (Original post by miaofcourse)
Oh god after an hour of doing hard quadratics when I saw that question I thought it must be a trick!
What level of work is this? Curious

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8. (Original post by HFancy1997)
What level of work is this? Curious

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A-level algebra functions (:
9. (Original post by miaofcourse)
A-level algebra functions (:
Cool C1 im guessing?

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10. (Original post by HFancy1997)
Cool C1 im guessing?

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Yes (:
11. (Original post by miaofcourse)
Yes (:
Enjoy. Best chapters lol.

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12. Hello people, I know that this question may have nothing to do with 'factorising quadratics' but it definitely has something to do with maths!
I was wondering, for this question: Simplify (x-1)^3 / 4x(x-1), the answer is: (x-1)^2 / 4x - well I was wondering, why the 'x' next to the number 4 isn't canceled out with the x on the top as well? :/
13. (Original post by Ak786454)
Hello people, I know that this question may have nothing to do with 'factorising quadratics' but it definitely has something to do with maths!
I was wondering, for this question: Simplify (x-1)^3 / 4x(x-1), the answer is: (x-1)^2 / 4x - well I was wondering, why the 'x' next to the number 4 isn't canceled out with the x on the top as well? :/
There is no common factor of x on the numerator as there is (x-1).
14. Thanks soo much for replying!
That's what it said on the book too, but I still don't get it - shouldn't x / x be equal to 1, so it should cancel out (like the x next to the 4 and one of the x's on the top should both cancel out?).

Or, do things only cancel out if they have the same signs and since the 'x' on the top doesn't have a 'x' sign in front of it (like the bottom), it doesn't cancel out?

I'm soo sorry, my maths is just soo rubbish!
15. (Original post by Ak786454)
That's what it said on the book too, but I still don't get it - shouldn't x / x be equal to 1, so it should cancel out (like the x next to the 4 and one of the x's on the top should both cancel out?).

Or, do things only cancel out if they have the same signs and since the 'x' on the top doesn't have a 'x' sign in front of it (like the bottom), it doesn't cancel out?

I'm soo sorry, my maths is just soo rubbish!
Don't worry, they are separate because the X on the bottom is multiplied by 4.
The X on the numerator is within a variable so it's X-1 it's not separate or multiplied. It's a factor. I don't know how to explain it.

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16. I don't know why but I factor out an X I write (X+0) just so I know it's a value of x
17. (Original post by zayn008)
I don't know why but I factor out an X I write (X+0) just so I know it's a value of x
You could expand it out as follows . Now you could split this up into 3 separate fractions, .
Now you can cancel an x on top and bottom for the first two fractions, but you cannot for the third one.
So you can only cancel a fraction, when every term on the numerator has a factor that is also on the denominator.
18. (Original post by B_9710)
You could expand it out as follows . Now you could split this up into 3 separate fractions, .
Now you can cancel an x on top and bottom for the first two fractions, but you cannot for the third one.
So you can only cancel a fraction, when every term on the numerator has a factor that is also on the denominator.
Wait, so that just explains it all!
So that' why I'm unable to cancel the 'x' out.
But wow, I think I'm going to have to do that working out in an exam ^ in order to find out if every term on the numerator has a factor that is also on the denominator.

Thanks soo much for your help!! That's made me soo much more happier - I've been trying to find out for at least 2 days!
19. (Original post by Chittesh14)
Don't worry, they are separate because the X on the bottom is multiplied by 4.
The X on the numerator is within a variable so it's X-1 it's not separate or multiplied. It's a factor. I don't know how to explain it.

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20. (Original post by Ak786454)

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