Final answer:
Pope Gregory IX established the Inquisition in the 1230s to impose religious homogeneity through persecution and torture of heretics.
Step-by-step explanation:
Pope Gregory IX established the Inquisition in the 1230s as an effort to impose religious homogeneity on Western Europe. The Inquisition was created to centralize the persecution of heresy throughout Western Christendom. Pope Innocent IV further authorized the use of torture on suspected heretics, and inquisitors were given the authority to seize the lands and property of the condemned.