Using a 2-Way Splitter for Internet and Cable TV Connection

I want to relocate my WiFi router (Unify Dream Router 7) to a central location in the house, which happens to be where the cable connection comes in for the cable modem. Is it possible to use a two-way splitter at that connection point to use for both the modem and router.

If so, would I be losing performance on either the modem or router or both.

What would be the highest performing splitter to use.