# Algebraic Division

• Oct 20th 2008, 01:04 PM
db5vry
Algebraic Division
I need serious help with this, I can't understand it at all:

If I had, for example, x³ + 4x² + 5x + 2 and had to divide it by (x+2)

How would I do it?

Can you please go through a method with me to solve this? It would be greatly appreciated. Thanks (Nod)
• Oct 20th 2008, 01:21 PM
masters
Quote:

Originally Posted by db5vry
I need serious help with this, I can't understand it at all:

If I had, for example, x³ + 4x² + 5x + 2 and had to divide it by (x+2)

How would I do it?

Can you please go through a method with me to solve this? It would be greatly appreciated. Thanks (Nod)

There are a couple of ways. Long division or synthetic division.
Code:

```           x^2 + 2x + 1       _____________________ x + 2 ) x^3 + 4x^2 + 5x + 2           x^3 + 2x^2         ------------               2x^2 + 5x               2x^2 + 4x               ----------                     x + 2                     x + 2                     =====```

Synthetic division:
x^3 + 4x^2 +5x +2 divided by (x+2). Use -2 as divisor in synthetic division.
Code:

``` ___________________ -2| 1  4  5  2       -2  -4  -2   ___________________     1  2  1  0 (remainder)  Quotient = x^2 + 2x + 1```