The Student Room Group

c3 - Algebraic Division

4x4-3x3+3x+1/x2-1

I have no idea how to do this. Any Help?

Edit:
I get -3x^3 - -4x^2
But i'm not sure if you can do this.

qh4vtGK.jpg
(edited 10 years ago)
Reply 1
Long division.
Reply 2
Original post by ninuzu
Long division.


This ^, do it
Yeah but then I get -3x^3 - -4x^2
Which I think you can't do.

Posted from TSR Mobile
Reply 4
Algebraic long division. Remember you can write in 0x^3, 0x^2 etc terms if it you need to..
Original post by ninuzu
Long division.


Yeah but then I get -3x^3 - -4x^2

Which I think you can't do.

qh4vtGK.jpg
Reply 6
Original post by Hedgehogkilla

Yeah but then I get -3x^3 - -4x^2

Which I think you can't do.

qh4vtGK.jpg


Try and keep terms of the same order in the same columns, where you have -4x^2 write 0x^3 and shift the -4x^2 to the right.
Reply 7
image.jpg

That's my answer.
Original post by Liamnut
Try and keep terms of the same order in the same columns, where you have -4x^2 write 0x^3 and shift the -4x^2 to the right.


Oh, ok. Thanks!
Original post by ninuzu
image.jpg

That's my answer.


Thanks for helping!
Reply 10
Original post by ninuzu
image.jpg

That's my answer.


I don't think that's correct. I get the remainder is 3.
(edited 10 years ago)
Reply 11
Original post by Liamnut
I don't think that's correct. The remainder is 3.

x^2-1=(x-1)(x+1), Plug 1 in, you get 3 and plug -1 in and you get 3. This is also what I get when I do long division.


Oh s*** yeah I did it wrong :colondollar: it's been a while since I've done this stuff...
Original post by Liamnut
I don't think that's correct. I get the remainder is 3.


Can you please explain the mistake in the long division? I can't find it.
Reply 13
Original post by Hedgehogkilla
Can you please explain the mistake in the long division? I can't find it.


He shouldn't have brought the 1 down when he did. Also, the remainder is 5 not 3... (I wrote down 4x^4-3x^3+3x-1).
(edited 10 years ago)
Original post by Liamnut
He shouldn't have brought the 1 down when he did. Also, the remainder is 5 not 3... (I wrote down 4x^4-3x^3+3x-1).


Cool. Cool, cool, cool.

Thanks for helping.

Quick Reply

Latest