Okay, I need a bit of help with some homework. Maths homework to be precise. What I need help with is:

Polynomic Division
Border Values
and Asymptotes

My first problem is with PD.

(X^4+4X^3-4X-1)/(X-1) and (X^4+4X^3-4X-1)/(X+1) What effect will the difference between dividing with (X-1) and (X+1) have?

<font color="00cc99">Ah old maths. I COULD do it for you, but I won't because you won't learn anything. Do your own Homework! [img]tongue.gif[/img] </font>

I don't want anyone to do it for me. Just to help me do it so I can bloody understand the damn junk.

Its a simple long division. But its a long time since ive done it and every time I try this one I hit th x^-1 term which isnt common at pre-university level. In fact it never happened to me at uni either, so I suspect im making a mistake.

EDIT - and as soon as I post this, I see that Ive got the last term down wrong.

Which part are you stuck on anyway?

[ 09-15-2002, 10:59 AM: Message edited by: andrewas ]

What grade are you in??!!!

He's 16, 17 in january [img]smile.gif[/img]
(I just found that out lol)

Just remember that variables represent numbers. For example: what is the differnece between 176 div 2 = 88 and 176 div 4 = 44? This is the case if you let x=3.

Just use long div and work the problem. Don't forget the 0x^2 term.
Here's a start for you ... how many x terms can you factor out of x^4? .... x^3.

Hope it helps .... good luck!

I think i know the what to do on that:
What effect will the difference between dividing with (X-1) and (X+1) have?
this means ignore the top part of the equation
X-1 in the denominator for any eqn will: create a 0 at 1 which means the equation cannot work since you cannot divide by zero (atleast not till you get to calculus) So it will have a "hole" at 1 and will function normally for the rest of eternity. this means its range? or was it domain is (-infinity, 1) to (1, infinity) *please note that i cant remember if ( means include the end number or exclude it i think its either ( or [ but i digress
So for the X+1 it has a hole at -1 and is fine for the rest of eternity and so its thing should look something like this (-infinity, -1) (-1, infinity)

Also note that i ummm forgot most math and that all of this is probably wrong in some way or other, but the basics are down i think.

Oh
almost forgot
the only time u cannot ignore the top is if it has a X+1 or X-1 in it (youll have to factor the equation to see if it does); if it does then u can just divide the thing out.

OUCH, what kind of math is this again? Algebra? Algebra 2? Calculus? Don't say Trig. because then I'd have to shoot you for being smarter than me. I'm only taking integrated ( its above algbra 2 but below Trig and Calc.) Anyways I probably used to know how to do that, but I'm trying to finish highschool this year. Thus much of my previous knowledge takes a vacation.