1. ## Polynomial divison

yo , so heres the problem :

I understand basic divisions and i can do X³ + 7x² - 36 / -x + 3 .... with no problem.

But i just cant figure out what to do with the one in the image.
first step i try is multiply with x^5 to get x^8 ... but we get 2x^8 .... so when i substract i get -x^8 + 3x^6 ...... which kinda leads me in an infinite loop ?

the question is : what is the rest.

Any tip or documentation will be greatly appreciated.

thanks, dave

2. ## Re: Polynomial divison

If you want to use the polynomial divison then you have to use the fact that $x^8=x^8+0x^7+0x^6+0x^5+0x^4+0x^3+0x^2+0x+0$.

3. ## Re: Polynomial divison

Originally Posted by dave1374
first step i try is multiply with x^5 to get x^8 ... but we get 2x^8
$2x^3 * kx^5 = 2kx^8$

This is your first problem; you want one term of $x^8$, so what is k if $2k = 1$?

4. ## Re: Polynomial divison

i figured to start using fractions with the tip you gave me and from there it took me a while but i finally did it lol.

$1/2x^5+3/4x^3+9/8x, rest 27/8x^2$
and if i do the multiplication i get $x^8$

thanks !!!