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Answer:

Here are some reasons that England and France would have pursued a northwestern route to Asia:

increasing trade

finding gold and precious metals

competing with Spain to be the dominant power in Europe

Expanding trade, discovering precious metals and gold and battling against Spain for supremacy in Europe are the three reason  why England and France would have wanted to find the Northwestern route to Asia.

Why England and France would have wanted to find the Northwestern route to Asia ?

Trading silks and spices from Asia was a strategy used by European kings from Portugal, Spain, France, England, and the Netherlands to consolidate their influence. They needed to discover a sea way to Asia in order to fulfill their mission.

Thus, Expanding trade, discovering precious metals and gold and battling against Spain

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