wiring Ethernet cable at home
Solution 1:
What i was wondering was if there is a way where i can split the single eithernet cable so to create multiple points in the room for TV,
You cannot split an Ethernet Cable. At every point where you need to split Ethernet, install a small switch and split it that way. This method (split using a switch) will work very well.
Ethernet switches are usually inexpensive. Ask at the Electronics store for a decent brand that will last a long time.