The board of regents shall have power: (1) To make such reasonable rules and regulations as are necessary for the performance of its duties; (2) To elect or appoint professors, educators, stewards, or any other officers necessary for all of the schools in the university system, as may be authorized by the General Assembly; to discontinue or remove them as the good of the system or any of its schools or institutions or stations may require; and to fix their compensations; (3) To establish all such