Final answer:
The archaic New Mexicans, particularly the Ancestral Puebloans, used agriculture, pottery, and irrigation systems to enhance their lifestyles, with all options (A, B, C) contributing significantly to their advancement.
Step-by-step explanation:
The technology archaic New Mexicans had to improve their lives included agriculture, pottery, and irrigation systems. The Ancestral Puebloans, also known as the Anasazi, hailing from the Four Corners area of the United States, utilized agriculture, cultivating crops like maize which was a cornerstone of their society. They developed sophisticated irrigation systems to water their crops, enabling them to build permanent villages and advance their society. Furthermore, they created pottery both for practical uses in storage and cooking, and for artistic expression as seen in the distinctive styles of the Mogollon culture. Therefore, the correct answer is D) All of the above.