This one does what it says on the tin - it's short, and that does mean it lacks detail where you'd like a bit more. So in Rasputin's infamous death, it's suggested that the reason he wasn't killed by cyanide in cakes he was offered is because he didn't actually eat the cakes (he didn't like sweet foods), but we don't really know. And after he's shot dead, he recovers and attacks his attacker, fleeing into the courtyard where he's shot dead again - but it's really just a recounting of the legend without getting underneath it as we'd like. Maybe this is because there's little enough actually known - we aren't really told. He was dumped in the Neva after death - there's no evidence he was still alive and drowned at this stage - and when his body was burned, he sat up (as is wont to happen when the tendons contract), which helped create his legend.
Rasputin seems to come to power through a chance meeting with the Russian royal family in Kyiv - his reputation having followed from his Siberian homeland, both as a mystic priest, where he was linked with various sects of varying repute, and as an insatiable nymphomaniac, believing sex ousted sin - and when he managed to control the haemophilia of the heir to the throne, Tsarevich Alexei, his influence in the royal family was assured. Here we do have some interesting additional info - Rasputin likely controlled the bleeding either by simple reassurance, which caused Alexei to relax and his blood pressure to drop, or by rejecting modern doctors and their new wonder drug, aspirin (which stops blood from coagulating). His famous stare - he was generally believed to be able to adjust his pupils at will - aided his reputation, and his vague predictions could be interpreted as required.
His influence with the royal family was such that numerous Government officials were sacked merely complaining about him - in the view of the Tsarina Alexandra in particular, he was untouchable due to his ability to help her son and the heir to the throne, and he received large sums of money in reward- ultimately he got caught up in the power struggle which led to the overthrow of the Tsar, who lasted just 18 months longer than Rasputin. Rasputin's influence was such that he persuaded Nicholas to take over control of the Russian forces during WWI - even though Rasputin was opposed to war - and Alexandra and Rasputin gained more power in Nicholas' absence. A number of attempts had been made on his life already, though the one which succeeded was planned in more detail than the others, and had the involvement of the royal family, which helped ensure minimal follow-up.
There's an interesting follow-up on how his legend grew - a relic of his penis, 18 inches long and 6 inches wide, was claimed to exist and though it sounds highly unlikely, it gives an indication of his reputation - and includes mention of the famous Boney M song; the lead singer died in the same city and on the same day as Rasputin, in a fun but pointless coincidence.
What's here is interesting; you feel there's more depth to be had though.