3 x + 1 ------ x - 1
(x^3 + 1)/(x - 1)
1 + x + x^2 + 2/(-1 + x)
2 2 1 + x + x + ------ -1 + x
/ 2 \ (1 + x)*\1 + x - x/ -------------------- -1 + x
(1 + x)*(1 + x^2 - x)/(-1 + x)
(1.0 + x^3)/(-1.0 + x)