Describe, in your own words, what public and private morality Claudius demonstrates in Act IV

Frantic after her confrontation with Hamlet, Gertrude hurries to Claudius, who is conferring with Rosencrantz and Guildenstern. She asks to speak to the king alone. When Rosencrantz and Guildenstern exit, she tells Claudius about her encounter with Hamlet. She says that he is as mad as the sea during a violent storm; she also tells Claudius that Hamlet has killed Polonius. Aghast, the king notes that had he been concealed behind the arras, Hamlet would have killed him. Claudius wonders aloud how he will be able to handle this public crisis without damaging his hold on Denmark