The correct answers are He wants revenge for the loss of his eye and He is angered by Odysseus' taunts.
Polyphemus is a cyclopes. He is also son of Poseidon.
One night, Odysseus and his men found themselves stuck in a cave with the cyclopes (which are one-eyed, men-eating giants) and decided to blind him in order to escape. They got him drunk and with using a sharp-pointed stick they stuck it in his eye, plucking it out.
The first one could be "care".
The second could be "rest".
