Author Topic: Asymptote Form (Read 1207 times) Tweet Share

dude · « **on:** January 05, 2011, 08:39:20 pm »

How do you separate
$x-2\over x+3$
into a form like
${a\over x-b} +c$

jasoN- · « **Reply #1 on:** January 05, 2011, 08:46:06 pm »

$\frac{x+3-5}{x+3}$
$=\frac{x+3}{x+3}+\frac{-5}{x+3}$
$=1 - \frac{5}{x+3}$

theres probably a more 'official' way of doing this, but idk i find this easier

stonecold · « **Reply #2 on:** January 05, 2011, 08:47:02 pm »

Long division.

http://www.purplemath.com/modules/polydiv2.htm

Andiio · « **Reply #3 on:** January 05, 2011, 08:50:40 pm »

x+3-5/x+3

= -5/x+3 + x+3/x+3
= 1 - 5/x+3

EDIT: Beaten

dude · « **Reply #4 on:** January 05, 2011, 09:14:20 pm »

Thanks guys.

Does polynomial division work if both terms are of the same degree?

Andiio · « **Reply #5 on:** January 05, 2011, 09:22:56 pm »

Quote from: dude on January 05, 2011, 09:14:20 pm

Thanks guys.

Does polynomial division work if both terms are of the same degree?

Long division is just simply division

jasoN- · « **Reply #6 on:** January 05, 2011, 09:28:01 pm »

$\frac{x-2}{x+3}$

$x+3 \sqrt{x-2}$ (imagine sqrt as normal division symbol)

$. 1$
$x+3 \sqrt{x-2}$
$. x+3$
. ______
$. -5$
ie. remainder $\frac{-5}{x+3}$
so same shit lol

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Author Topic: Asymptote Form (Read 1207 times) Tweet Share

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