Preheat oven to 425 degrees F.
In a large bowl, toss potatoes with olive oil, salt, pepper, and 2 Tbsp chopped fresh tarragon
Spread potatoes on a baking sheet in a single layer, cut side down
Roast for 30–40 minutes, flipping once halfway through, until golden and crisp
Remove from oven and sprinkle with additional fresh tarragon before serving