That was just an example, I don't actually know the polynomial that might emerge, which is why I wanted to see if mathematica could do it. So to summarise, I have a general poly, like w= 1 +bx + cx^2 + dx^3 ... once I know what the right commands are, I will want to experiment with this. Then I want to make a series - 1 + w + w^2 + w^3 +... but again I might want to extend it further.
So I will input w= 1 +bx + cx^2 + dx^3, then I want the commands that will take 1 + w + w^2 + w^3 and output that result, grouped in powers of x - so I would expect (only as an example) something like 1 + (...)x + (....)x^2 + (.....)x^3 + ...still keeping it general, with the b,c etc coefficiants. Thanks