Final answer:
Cerularius and Leo IX were pivotal figures as political leaders and religious reformers in the final break of The Great Schism, which resulted from major disagreements over church authority and doctrine.
Step-by-step explanation:
The Great Schism:
The roles of Cerularius and Leo IX in the final break of The Great Schism were more akin to political leaders and religious reformers. Michael Cerularius was the Patriarch of Constantinople, and Pope Leo IX was the head of the Roman Catholic Church at the time of the schism in 1054. Their intense disagreement over religious doctrines and church authority led to the mutual excommunications that solidified the division between the Eastern Orthodox and Western Roman Catholic churches.
This division, known as The Great Schism, had been preceded by a long history of growing tensions and disagreements, with both leaders unwilling to compromise on the issues of church authority and theological differences. The roles of bishops in Roman governance, as addressed in a separate section of learning material, was not military or economic but rather political and ecclesiastical. They participated in ecumenical councils and had a significant influence in local politics, although such roles were different from the central figures in The Great Schism.