1. ## polynomial long division

is it possible to use long division when you have something of

whatever x+ whatever / x^3 + whatever. Rather than post the exact problem I thought I would just ask beacause as I try to do the long division, I seem to keep looping and cannot get rid of the x^3.

2. Originally Posted by gammaman
is it possible to use long division when you have something of

whatever x+ whatever / x^3 + whatever. Rather than post the exact problem I thought I would just ask beacause as I try to do the long division, I seem to keep looping and cannot get rid of the x^3.
If you have a quotient where the degree of the numerator is smaller than the degree of the denominator then the result is 0 + quotient.

3. I not quite sure what you mean, but here is a good long division program (and its free).

long divide polynomials

It will show you all of the steps of any long division problem.

4. I don't really know what you mean but here is the exact problem

2x+4 / 3x^3-7x+2

5. Originally Posted by gammaman
I don't really know what you mean but here is the exact problem

2x+4 / 3x^3-7x+2
$(2x + 4) \div (3x^3-7x+2)= 0 + \dfrac{2x+4}{3x^3-7x+2}$

6. woops sorry it was the other way around

3x^3-7x+2 / 2x+4

forgive me I am loosing my mind.

7. Originally Posted by gammaman
woops sorry it was the other way around

3x^3-7x+2 / 2x+4

forgive me I am loosing my mind.
See attachment.

8. would the final answer be
$\frac{3x^2}{4}-3x-8\ln|2x+4|+c$