Polynomial Long Division

• Jun 10th 2009, 10:53 AM
AlderDragon
Polynomial Long Division
This just confuses me. I am asked to solve these division problems using long division. I know how to do them normally, but long division confuses me.

$\displaystyle \frac{x^3+2x^2+3x-6}{x-1}$

and

$\displaystyle \frac{n^3-27}{n-3}$

Any ideas?
• Jun 10th 2009, 11:11 AM
Amer
Quote:

Originally Posted by AlderDragon
This just confuses me. I am asked to solve these division problems using long division.

$\displaystyle \frac{x^3+2x^2+3x-6}{x-1}$

and

$\displaystyle \frac{n^3-27}{n-3}$

Any ideas?

first look at the first term in each divided and the divisor to see what is the number we multiply it with divided to give us the divisor then change the signs(or find the subtraction of them ) then find the sum like this

Attachment 11851

it is clear or not
• Jun 10th 2009, 11:27 AM
AlderDragon
Quote:

Originally Posted by Amer
first look at the first term in each divided and the divisor to see what is the number we multiply it with divided to give us the divisor then change the signs(or find the subtraction of them ) then find the sum like this

Attachment 11851

it is clear or not

The picture is clear but it's still kind of confusing. I found a youtube video that explains it much clearer. Thanks anyway.
• Jun 10th 2009, 11:31 AM
masters
Quote:

Originally Posted by AlderDragon
This just confuses me. I am asked to solve these division problems using long division. I know how to do them normally, but long division confuses me.

$\displaystyle \frac{x^3+2x^2+3x-6}{x-1}$

and

$\displaystyle \frac{n^3-27}{n-3}$

Any ideas?

Hi AlderDragon,

$\displaystyle \frac{n^3-27}{n-3}=$

Use zeros to hold the places for the terms that are left out.

Code:

          n^2 + 3n + 9       ______________________ n - 3 | n^3 + 0n^2 + 0n - 27     (-) n^3 - 3n^2         ------------               3n^2 + 0n           (-) 3n^2 - 9n               ----------                     9n - 27                 (-)  9n - 27                     ========
• Jun 10th 2009, 11:52 AM
Amer
Typo sorry