The correct answers are B) Rabbis emerged as religious leaders in Jewish communities and D) Jews began to build synagogues as places of worship.
The two ways in that the Jewish Diaspora affected the development of the religion were the following: Rabbis emerged as religious leaders in Jewish communities and Jews began to build synagogues as places of worship.
Since the very beginning of civilization, Jews Diaspora has been an issue that has affected them. If we read the pages of the Book of Exodus in the Old Testament, we can read how Moses liberated Jewish people form Egyptian Pharaoh and took the Israelites to the "Promise Land" in a trip that lasted 40 years wandering in the desert. Since then, other many diasporas followed.
The other options of the question were A)Jews began to more closely follow the Ten Commandments. C) The Romans encouraged Jews to build a second holy temple. E) Many Jews embraced polytheistic religions.