- Pre-heat the oven to 375F. 
- Melt 2 Tbsp each of olive oil and butter over medium heat in a dutch oven large enough to hold the chicken and vegetables. 
- Rub the chicken with olive oil then season with salt and pepper. 
- Brown the chicken thoroughly, regulating the heat to prevent burning. This will take 15 minutes. 
- Remove the chicken from the dutch oven, discard the fat and wipe out the pot. 
- Melt the remaining 1 Tbsp each of olive oil and butter. 
- Add the aromatics and a good pinch of salt. Salt is critical at this point but you need to be careful not to oversalt at the same time. 
- Return the chicken to the pot. Place a piece of aluminum foil over the pot and then cover with the lid. 
- Roast for about 1 hour. 
- Remove chicken from the pot and place the pot with vegetables and accumulated juices over medium heat to reduce slightly. Taste and adjust seasonings if needed. 
- Carve the chicken into quarters - 2 legs, 2 breasts. Mound a portion of the vegetables in the middle of the plate. Add a few spoonfuls of the sauce and top with chicken. 
- Cornichons, dijon mustard and salt are the traditional accompaniments to real poule au pot. They work well here as well.