I have the same calculator as the OP (affectionately known as the black brick...the newer ones are the green/blue and white things). Yes they are allowed.
Apparently there are programs you can install to do symbolic algebra and stuff on them, but as you have to reset your calc in the exam hall before the exam, it doesn't really matter.
One of the functions on the CFX-9850G is Program and another is Link too, I just don't use them. (personally, I think it's a bit much for GCSE, very handy for A-levels though).
Yes mine can do polar co-ordinates. I've only figured out the basics so far, but I'm sure fancier stuff can be done. (the manual is beasty!)
And for the person who asked what else they can be used for - Stats. Lot of handy functions that I can't remember, but very useful. Also for iteration formulae you don't have to keep typing it in. Errrm, and on the "Table" you can whack in a formula and get all the answers you want - quicker than doing it manually on a scientific. It can also solve simultaneous equations as well as quadratic and cubic....
yea, it's kinda handy. especially as I *always* make mistakes adding...*looks embarrased*...