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Algebraic Fractions Question

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

thnks
= 0.7434450123
Reply 2
Avatar for mik1a
mik1a
10
That's a mathematical expression. What is the question?

(I sense that brackets will help here)
Original post by mik1a
That's a mathematical expression. What is the question?

(I sense that brackets will help here)


2x^4-3x^2+x+1 divided by x^2-1
(Dividing Algebraic Fractions)
Reply 4
Avatar for Notnek
Notnek
21
Original post by ilovereading
2x^4-3x^2+x+1 divided by x^2-1
(Dividing Algebraic Fractions)

Do you have any ideas? What method have you learnt to divide polynomials?
Factorise.
Reply 6
Avatar for Notnek
Notnek
21
Original post by ifyouseelaura
Factorise.

This fraction can't be simplified so I'm not sure that's what the OP wants here.

But it wasn't clear in the original post what the question actually is.
2x4−3x2+x+1x2+1≡Ax2+Bx+C+Dx+Fx2+1 \dfrac{2x^4 - 3x^2 + x +1}{x^2 + 1} \equiv Ax^2 + Bx + C + \dfrac{Dx + F}{x^2 + 1}

A=… A = …

B=… B = …

C=… C = …

D=… D = …

F=… F = …

there are quite a few ways to do this but this is the most understandable way using text to demonstrate it :tongue:
Reply 8
Avatar for TeeEm
TeeEm
19
Original post by SwampMagic
= 0.7434450123


..
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Its okay guys I eventually figured it out. I was using the box method. I just got confused cause there was no x^3 and I forgot to add 0x to x^2-1. Sorry I wasn't clear about the question to begin with :P
Reply 10
Avatar for Ace C
Ace C
12
Can anyone help me with a factorisation question please? (I know it's gcse but need help please thanks :smile: )The question:Factorise x2 – x [1 mark] Answer ......................................................................An explanation would also be helpful Thanks in advance....
Reply 11
Avatar for Artur96
Artur96
5
Original post by Ace C
Can anyone help me with a factorisation question please? (I know it's gcse but need help please thanks :smile: )The question:Factorise x2 – x [1 mark] Answer ......................................................................An explanation would also be helpful Thanks in advance....


The common factor of x^2 - x is x, therefore you can get the same equation by taking that x out.
This leaves us with x(x - 1).
If you're unsure about this, just times out the factors and you'll get the same answer!
Reply 12
Avatar for Ace C
Ace C
12
Original post by Artur96
The common factor of x^2 - x is x, therefore you can get the same equation by taking that x out.
This leaves us with x(x - 1).
If you're unsure about this, just times out the factors and you'll get the same answer!

Thanks for that :biggrin: but can you explain it as simply as possible for me please? I am still struggling to understand that! NO CALCULATOR IS ALLOWED!
What do you mean by just times out the factors please?
Reply 13
Avatar for Ace C
Ace C
12
Original post by Artur96
The common factor of x^2 - x is x, therefore you can get the same equation by taking that x out.
This leaves us with x(x - 1).
If you're unsure about this, just times out the factors and you'll get the same answer!

Also, What grade is factorisation in general if you know? I am predicted a B for GCSE maths, but am unsure I will actually get that! I have 2 mock maths exams tomorrow!
Reply 14
Avatar for davros
davros
16
Original post by Ace C
Thanks for that :biggrin: but can you explain it as simply as possible for me please? I am still struggling to understand that! NO CALCULATOR IS ALLOWED!
What do you mean by just times out the factors please?


"x squared" just means "x times x"

"x" on its own can be thought of as "x times 1"

So both "x squared" and "x" have a factor of x, so you can take out this factor of x outside a bracket. Inside the bracket you have the quotients remaining when you divide by x i.e. x and 1. Since we started with "x^2 - x" originally, the terms inside the bracket are separated by a minus sign.

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