# Thread: Homework help with Polynomial and Rational Function

1. ## Homework help with Polynomial and Rational Function

(1) For the function
h(x) = x3x2 – 17x -15,

use long division to determine which of the following are factors of h(x)

a) x + 5
b) x + 1
c) x + 3

(2) Determine the oblique asymptote of the graph of the function.

g(x) = x2 + 4x – 1 / x + 3

2. Originally Posted by Kblack
(2) Determine the oblique asymptote of the graph of the function.

g(x) = x2 + 4x – 1 / x + 3
Let's see if I get it right this time, seeing as I screwed this up a couple of days ago.

$g(x) = \frac{x^2 + 4x - 1}{x + 3}$

Do the division:
$g(x) = x + 1 - \frac{4}{x + 3}$

So when x goes to infinity, the last term goes to 0. Thus the asymptote is y = x + 1.

-Dan

3. Originally Posted by Kblack
(1) For the function
h(x) = x3x2 – 17x -15,

use long division to determine which of the following are factors of h(x)

a) x + 5
b) x + 1
c) x + 3
You will find this site to be helpful.

-Dan

4. Originally Posted by topsquark
You will find this site to be helpful.

-Dan
is there LaTex code for long division?

5. Originally Posted by Jhevon
is there LaTex code for long division?
I only know how to do it using the "code" box, and this is so fussy about putting the characters in place, I gave up on using it long ago.

-Dan

6. Originally Posted by Jhevon
is there LaTex code for long division?
Yes, but it's a completely mess.

Here's a simple example:

$\begin{array}{ccccccc}\ \ 3x^2&+\ 2x&-\ 8&\div&\left| \!{\underline {\,
{x+2} \,}} \right.&=&3x-4\\
-3x^2&-\ 6x&\\ \cline{0-1}
&-\ 4x&-\ 8&\\
&\ \ \ 4x&+\ 8&\\ \cline{2-3}
\end{array}$

At least I'd perform this, with some of make-up.

7. Originally Posted by Krizalid
Yes, but it's a completely mess.

Here's a simple example:

$\begin{array}{ccccccc}\ \ 3x^2&+\ 2x&-\ 8&\div&\left| \!{\underline {\,
{x+2} \,}} \right.&=&3x-4\\
-3x^2&-\ 6x&\\ \cline{0-1}
&-\ 4x&-\ 8&\\
&\ \ \ 4x&+\ 8&\\ \cline{2-3}
\end{array}$

At least I'd perform this, with some of make-up.
there's nothing for the division symbol? the huge sideways 7 thing?

8. Sorry, I beg your pardon?

9. Originally Posted by Krizalid
the symbol that looks like )-----------

anyway, this is going too much off topic, we should probably start something in the LaTex forum about this

10. Sorry, but I don't get it yet

--

Well, about the off-topic, it's work for Mods.

But you started the off-topic!

11. Originally Posted by Krizalid
Sorry, but I don't get it yet

--

Well, about the off-topic, it's work for Mods.

But you started the off-topic!

like this sign i use here to represent $\frac 12$:

Code:
  ___
2 ) 1

12. $\overline{x+2}\,?$

Would it be that?

Better yet, send me a PM 'cause we're wasting lots of posts here.