How Can Supermassive Black Holes at the Centers of Galaxies

How can supermassive black holes at the centers of galaxies help new stars to form in that galaxy?

A) new stars can form in the accretion disk just before they are pulled into the black hole
B) new stars can form when the flow of particles from a black hole accretion disk or jet compresses the material some distance away from the black hole and starts the "clumping" that leads to the formation of stars
C) such supermassive black holes often explode and their huge explosion can force the forming of new stars
D) after billions of years, when black holes no longer have an active accretion disk, they can turn into a cluster of new stars
E) so much material comes out of the event horizon of supermassive black holes, there is more than enough new material for generations of stars