Since using Polymerization and 5 Dragon-type monsters can often be not worth it, you can use Dragon's Mirror to make it more viable. You can use any Dragon monsters and when they get sent to the graveyard, use them as the fusion materials for Five-Headed Dragon.
Putting 5 Dragon-type monsters can be pretty slow, but you can make it run much faster by milling yourself with these cards. Magical Merchant can let you fusion summon into Five-Headed Dragon within the first few turns if you get lucky. The same with That Grass Looks Greener, but it can send the spell card to the graveyard. Cards of the Red Stone can be a good and safer approach since you can bring both Red-Eyes B. Dragon and Red-Eyes Zombie Dragon for a total of 6 Red-Eyes monsters.
Extra deck:5 headed dragon
Deck:fill deck with dragon type monsters and polymerization
Skill:draw sense:spell/trap card
Start game with 4 dragons in hand
Don't play anything until you have 5
When you've lost enough life points activate skill
You are guaranteed to get polymerization as that is the only spell u have
Play 5 headed dragon
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SRH, Hane-Hane, Man-Eater Bug, Floodgate, Yomi Ship, Exploder Dragon, Michizure... You can get rid of this card so easily, it's a glass cannon, high status but heavy summoning condition and easy to get off the board.