How does King Claudius's speech relate to the central conflict in Hamlet?

Claudius’s vow to avenge Polonius’s death intensifies his opposition to Hamlet and pushes the struggle between them toward its climax. The conflict is not resolved by Claudius promising Hamlet the throne, nor is it mainly between Claudius and Laertes; Claudius uses Laertes’s anger to help bring about the final confrontation with Hamlet.

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