actually...no. I dont think so.

yes I beleive Qg1 would have done it

This is what I came up with.

I think that Rf2 would work too...

1. Rf2 Rxf2 2. Qxf2

1. Rf2 Qe4+ 2. Kg1

I don't think Rf2 works...  Black responds with Re1. 

LearnChess has it though...

Yeah, you're right. I didn't see that :)

I think White also has a winning endgame after 1 Rd8+ Bxd8 2 Qxd8+ Ka7 3 Qd4+ Qxd4 4 cxd4 Re8 ... a simple and forcing continuation.

Edit: oops! LearnChess already gave this variation... its what I'd play, anyway.