It is a preposition, but it forms part of the verb 'to strike out'.
Verbs comprising more than one word are known as 'multi-word verbs' or 'phrasal verbs'. Other examples are:
To run up a bill.
To run over a cat.
You can see how the preposition (up and over in these examples) changes the meaning of the phrasal verb. Sometimes in phrasal verbs, the preposition is not required.