# dividing polynomials

• Nov 1st 2009, 07:59 AM
JQ2009
dividing polynomials
I have a question where I have to divide:

x^4-2x^3-3x^2+11x+3 by x^2-4

So doing by long division I have got as far as:

http://i38.tinypic.com/6fb12g.jpg

Sorry about it being hard to read I didn;t know how to do it by typing it.

Anyway in all the example I have of doing this the power of the second term (-2x^3 and 4x^2) has been the same but in this one it is not. Have I made a mistake or am right so far?

If I am right so far how do I take it forward?
• Nov 1st 2009, 10:17 AM
earboth
Quote:

Originally Posted by JQ2009
I have a question where I have to divide:

x^4-2x^3-3x^2+11x+3 by x^2-4

So doing by long division I have got as far as:

http://i38.tinypic.com/6fb12g.jpg

...

Code:

```                                                3x+7   (x^4-2x^3-3x^2+11x+3) ÷ (x^2-4) = x^2-2x+1 + ----------  -(x^4    -4x^2)                                x^2-4  -------------------       -2x^3 +x^2+11x     -(-2x^2    +8x)       -----------------             x^2+3x+3           -(x^2  -4)           -------------                 3x+7```