can you explain to me step by step how to divide polynomials using long division and show me an example?

Answer 1

Here is an example with the steps explained:

http://img151.imageshack.us/img151/6138/polynomialdivisionzl8.png

Answer 2

ok so if you are given an equation
eg P(x)= x^-3 + 2x^2 + 3x + 6
first you find out the value for x so that the equation will equal zero. This will give you the factor. You can do that by using a graphics calculator and putting the equation into y= and then pressing table and seeing what value of x, y=0 on. or just sub in some values until you get the right answer.
For this case when x=-2 the equation = 0
therefore (x+2) is a factor. Now we go through and divide x^-3 + 2x^2 + 3x + 6 by x+2. Long division is really hard to explain.

x^2 + 0x + 3 < answer
________________
x+2) x^3 + 2x^2 + 3x + 6
- x^3 +2x^2
= 0x^2 +3x
- 0x^2 + 0x
= 3x + 6
- 3x + 6
= 0 < remainder
if you cant figure it out from this email me and i can explain it better