A:
Yes. You would need a cable that goes from male RCA (red and white) connections to a male 3.5mm connection. You'll plug the RCA ends into the audio output from your TV and then the 3.5mm end into the input on the SoundLink Mini (it's on the right side). That being said, you will have to get up and hit the buttons on the SoundLink Mini to adjust the volume.
The SoundLink Mini was NOT designed to be a primary speaker for a TV. It is designed to be used with a mobile device, like a smartphone or tablet, with audio playing through Bluetooth. The 3.5mm input is for older portable devices that don't have Bluetooth (like an iPod classic).