intersection of ideals...

Hi... Thank you.

I'm confused regarding the problem of finding an intersection of two specific ideals. How do I approach such a problem?

I'm given R = Q[x] - the polynoms over Q.

and these two ideals:

I = I(x)R = (2x^3 + x^2 -6x -3)R; J= J(x)R = (2x^3-x^2-x)R.

(I marked the specific polynoms as I(x) and J(x) for convinience).

I unerstand what this means, and I understand that if p(x) is in I and J, then there exists r1(x) and r2(x) in R so that:

p(x) = I(x)r1(x) = J(x)r2(x)

However I have no idea how to simplify that and I feel I'm off the track...

:-\

Help?

Thank you.

Tomer.