Amend the soil in a full-sun garden bed. Incorporate a 2-inch layer of compost and 1 1/2 pounds of 16-16-8 fertilizer into the top 6 inches of every 100 square feet of potato bed.
Plant the potato seed pieces 4 inches deep in rows spaced 2 to 3 feet apart. Set the pieces 10 inches apart in the row, with the eyes or buds facing up.
Lay a drip irrigation hose along the side of each potato row. Lay the black plastic over the top of the soil and hoses. Anchor the sides of the plastic with rocks or a soil mound. Cut holes through the plastic for each seed piece.
Water the potato bed thoroughly with the drip hoses so the soil is moist but not soggy. Overly soggy soil can cause the seed pieces to rot, but they will not sprout in completely dry soil.
Water the potatoes via the drip hoses weekly. Provide approximately 1 inch of moisture.