Describe the political warfare between the Federalists and their opponents, the Jeffersonians, during the 1790s.

America’s founding founders didn’t support the creation of political parties, as they believed such parties would lead to corruption of the new nation’s government. All the same, factions quickly developed during the struggle to ratify the federal Constitution in 1787, pitting those who favored a strong national government (the Federalists) against those who favored state’s rights and a more decentralized government (Anti-Federalists). Two members of President George Washington’s cabinet came to embody the opposite sides of the argument: Treasury Secretary Alexander Hamilton led the Federalists, while Secretary of State Thomas Jefferson headed up the anti-Federalists, or Jeffersonians.
The two sides clashed bitterly in the 1790s, particularly over Hamilton’s creation of a national financial system, as well as America’s allegiance in the war between Britain and France. The battle played out in rival newspapers, in which each side published scandalous, often exaggerated claims about the other to drum up public support.
Jefferson resigned from Washington’s cabinet in 1793, and he and James Madison formed the nation’s first opposition party, which would become known as the Democratic-Republican Party. Democratic-Republicans drew their strongest support from the South and West, while Federalists dominated in New England.
In his famous Farewell Address (which Hamilton helped write), Washington included a warning against the danger of political parties. But the power struggle between the Federalists and Democratic-Republicans would continue to dominate the early US government, with Federalist John Adams narrowly defeating Jefferson in 1796 and Jefferson unseating him four years later to begin an era of Democratic-Republican dominance in the White House.
https://www.loc.gov/exhibits/creating-the-united-states/formation-of-political-parties.html