Final answer:
President Jefferson wanted to add more land for farmers to support his vision of an agrarian republic, he aimed for economic expansion, and he hoped to find trade routes for fur and to connect with the Pacific.
Step-by-step explanation:
President Thomas Jefferson saw multiple benefits in acquiring the Louisiana Territory beyond controlling trade along the Mississippi River. One of Jefferson's goals was to provide more land for an agrarian society, which was part of his vision for the United States as an agrarian republic. In this vision, the land would be worked by yeomen farmers who would contribute to the nation's agricultural commerce. Additionally, Jefferson desired to expand American influence and commerce across the continent and eventually to the Pacific for trade purposes, particularly aiming to capture a portion of the fur trade. This was also linked to his intentions to find a Northwest Passage and to explore and map the new territory for future settlement and economic expansion.