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1. Adjust oven rack to lower-middle position and heat oven to 450 degrees. Combine butter, chives, garlic, 1/4 teaspoon salt and 1/4 teaspoon pepper in bowl; set aside. Pat pork dry with paper towels and season with pepper. Brush tenderloins all over with hoisin sauce.
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2. Toss green beans, 1 tablespoon oil, 1/4 teaspoon salt and 1/4 teaspoon pepper together in large bowl. Arrange green bean mixture crosswise down center of rimmed baking sheet, leaving room on both sides for potatoes. Toss potatoes, remaining 2 tablespoons oil, 1/4 teaspoon salt and 1/4 teaspoon pepper together in now-empty bowl. Arrange potatoes, cut side down, on both sides of green beans.
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3. Lay tenderloins, side by side without touching, lenghtwise on top of green beans. Roast until pork registers 140 degrees, 20-25 minutes. Transfer tenderloins to carving board and dot each with 1 tablespoon reserved herb butter. Tent with aluminum foil and let rest while vegetables finish cooking.
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4. Gently stir vegetables on sheet to combine. Return sheet to oven and roast until vegetables are tender and golden brown, 5 to 10 minutes longer. Remove from oven, add remaining 2 tablespoons herb butter to sheet, and toss vegetables to coat. Transfer vegetables to platter. Cut pork into 1/2 inch thick slices and place over vegetables, pouring any accumulated juices over top. Serve