Hamlet Act III

•  To Be or Not To Be soliloquy
• Hamlet is openly rude and harsh to Ophelia saying that he no longer loves her and she should just go away, mentions how women turn men into monsters and corrupts them but he could be alluding to his mother's actions with Claudius
• With this encounter, Polonius convinces Claudius to set Queen Gertrude up in the hope that Hamlet will reveal his secrets to her, he does this because he doesn't want to admit that his first explanation of Hamlet's unusual behavior was wrong
• Claudius however realizes the risk that Hamlet is posing on him and wants to send him away to somewhere he will do no harm, but Polonius fears that moving Hamlet might lead the kind to question his judgement 
• Hamlet is working very hard with the actors in the play because he wants it to be shown exactly the way he envisions it
• He later asks Horatio to watch over the King and Queens reaction to the play to see if they falter at any point, later on he does confide in Horatio of his plan and of his father's murder
• During the play Claudius panics and flees the scene and then confesses his sins
• Hamlet does indeed meet with Gertrude and talks deeply about his disappointments and his feelings
• Hamlet accidentally kills Polonius and becomes extremely angry and confused 
• My question is why did Shakespeare not use the opportunity to kill Claudius when the chance had arisen?
• Why take Polonius's life by "accident"?
• What does Polonious's death serve to the plot of the story?