Step 1

Preheat the oven to 400 degrees F. Stir the minced garlic into the olive oil. Combine the salt, onion powder, rosemary, thyme, and pepper in a small bowl and mix well. Rinse the potatoes and broccoli and dry well.

Step 2

Cut potatoes into 1-inch pieces and place in a large mixing bowl. Drizzle them with half of the olive oil, then sprinkle on half of the seasoning and toss to combine. Spread the potatoes on the baking sheet and roast in the oven for 25 minutes, tossing once during the cook time.

Step 3

Meanwhile, chop the broccoli into florets, cutting large ones in half, and place them in the empty bowl. Drizzle them with remaining olive oil, then sprinkle on the rest of the seasoning and toss.

Step 4

When the 25 minutes is up, remove the baking sheet from the oven. Toss the potatoes and move them to one side of the baking sheet. Spread the broccoli on the other side.

Step 5

Return the baking sheet to the oven and roast for another 20-25 minutes, tossing once halfway through the cook time, until the vegetables are fork tender and charred in some spots. Immediately toss with Parmesan cheese (if using) and serve.