Final answer:
Roman Catholicism and the Encomienda system were key ideologies in Spain's conquest of the New World.
Explanation:
Roman Catholicism was a dominant ideology implemented during the conquest of the New World by Spain, with clergy and missionaries playing a significant role in spreading Christianity among the indigenous populations.
Encomienda system was another crucial ideology utilized, where conquistadors received land grants and exploited Native Americans for labor.
Reconquista traditions guided the actions of Spanish forces, aiming to expand their dominion forcefully, ultimately shaping their approach towards conquest in the New World.
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