What is Laertes' motive for resenting Hamlet, and how has he already lost this?

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Laertes is filled with anger and resentment towards Hamlet because Hamlet killed his father, Polonius, and drove his sister Ophelia to madness by treating her badly. As he puts it: And so have I a noble father lost, A sister driven into desperate terms, Whose worth, if praises may go back again, Stood challenger on mount of all the age For her perfections. But my revenge will come. The key thing about Laertes is that his motive for revenge is the same as Hamlet's; both have had a father murdered and both feel under pressure to avenge the death. Laertes'

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Laertes is filled with anger and resentment towards Hamlet because Hamlet killed his father, Polonius, and drove his sister Ophelia to madness by treating her badly. As he puts it:
And so have I a noble father lost, A sister driven into desperate terms, Whose worth, if praises may go back again, Stood challenger on mount of all the age For her perfections. But my revenge will come.
The key thing about Laertes is that his motive for revenge is the same as Hamlet's; both have had a father murdered and both feel under pressure to avenge the death. Laertes's rage only increases when he learns at the end of act 4, scene 7 that Ophelia has drowned herself. A dead father and a dead sister, both dead because of Hamlet, is strong motive for revenge.
Unlike Hamlet, however, Laertes does not stall. He is keen to avenge his father from the start. He doesn't look for proof as to whether Hamlet caused the death; Laertes rushes in headlong to destroy him. This helps add interest to the presentation of a revenge play, because through having two characters faced with the task of avenging deaths, Shakespeare has the opportunity to explore how different personalities deal with the same challenge.
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In Act IV, scene 7, Laertes says he wants revenge on Hamlet because he killed Laertes' father, and because he drove Laertes' sister Ophelia mad.

This motivation fits the structure of a revenge play in itself, but Laertes also publicly pledges to take revenge on his father's killer, which fits the structure too.

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