The answer is:
B: many settlers came to North America seeking religious freedom
At that time, many of the European citizens had to face religious persecution from the government if they do not want to conform to a certain religion. Because of this, a lot of them came to north america in order to escape this and seek religious freedom.
C:the first permanent English settlement in North America began as a quest for gold
This happen when western societies started to see gold as a valuable metal and want to use it as primary medium of exchange for their economic transactions.
Answer:
Colonizers were in the case of the Spanish, French and the Chesapeake Bay colony lower nobility, common folk, or indentured servants, while for New England they were religious migrants, and for Dutch settlements merchants and sailors.
Spanish and French proclaimed thier missionary role, and "rescue" of natives, and the colonies in New England also detailed their mission to construct a "city on the hill",while Dutch and English in Chesapeake both were aimed at maximizing profit.
The interaction with environments and natives was influenced by this aims, as Spanish and French colonies tried to assimilate natives like free subjects but with their speficic culture if that did not clash with the Catholic doctrine, and emphasizing conversion and tribute, in the specific case of the French via the fur trade, while for Spanish it would be the <em>encomienda</em> system and later the "hacienda" (latifundia). Dutch engaged primarily with natives as trading partners, not seeking integration, and also without transforming the environment. English for the other did change the environment and clashed with the Natives, althoug at first they used them as life support, due to their poor knowledge of the terrain, but eventually the colonist clashed with the natives.