Final answer:
The Samuel-Kings texts were written in the 'united monarchy' period, which corresponds to approximately 1000-900 BCE, framed by the historical context of the Late Bronze Age Collapse.
Step-by-step explanation:
The books of Samuel-Kings, which detail the history of the Israelites during the time of the prophets Samuel, Saul, David, and Solomon, were written during a time period known to historians as the united monarchy period. This era corresponds to a time frame roughly situated between c. 1000-900 BCE. This period of the Hebrew Bible captures various historical contexts, including the threat to the Hebrews from the Philistines, amid a larger backdrop of Late Bronze Age Collapse. Egyptian and other extrabiblical sources corroborate biblical narrative details from this epoch.