A Sword for Monsters is a Chapter 1 side quest in The Witcher 2: Assassins of Kings that kicks off automatically when Geralt arrives in Flotsam. His silver sword went missing during his close encounter with the dragon in the Prologue, and a witcher without a silver blade is just a very well-dressed man with one sword.
There is no single quest giver; the journal points Geralt towards the dwarf smith with a workshop in Flotsam’s nonhuman district, but any silver sword will do. You can have one crafted from a diagram, buy one from a merchant, or find a rare blade lying in the forest outside town. If you imported a save from the first game where Geralt already carries a silver sword, the quest completes as soon as it starts. Leave Flotsam without one and the quest fails, and you will have to find a blade in the next chapter.
