Final answer:
The motives that motivated countries like France and England to begin exploration into the New World were driven by factors like religion, wealth, and power.
Step-by-step explanation:
The motives that motivated countries like France and England to begin exploration into the New World were primarily driven by three factors: God, glory, and gold. Both nations were strongly Catholic and sought to expand Catholicism by making converts and retaking land from Muslims. They also desired to establish colonies in order to secure wealth and power, as inspired by the success of Spain and Portugal.