A tetromino is made up of four squares joined edge to edge. Can this tetronimo, together with 15 copies of itself, be used to cover an eight by eight chessboard?

squares at (0,1), (1,1), (2,1), (1,0)

What about the other four tetronimoes. If the set of tetronimoes can fill the board sketch a solution showing how this can be done and if it is impossible to cover the board then explain why.