What does claudius's speech at the beginning of scene 3 (lines 1-11) reveal about the difficult situation he is in?

Claudius is in a difficult position because Hamlet has just killed Polonius and must be punished. However, he knows that the people of Denmark love Hamlet and would refuse to believe that anything he did wrong was his fault. So, he needs to come up with a plan to send Hamlet away without causing any suspicion.