Preheat your oven to 400°F (200°C). Prepare an 8-inch square baking pan by greasing it lightly or lining it with parchment paper for easy removal after baking.
In a large mixing bowl, thoroughly combine the cornmeal, all-purpose flour, baking powder, salt, and black pepper. Whisk together to ensure there are no clumps.
In a separate medium bowl, whisk together the buttermilk, eggs, vegetable oil, and honey (if using). Mix until well blended.
Gradually pour the wet mixture into the bowl of dry ingredients. Stir gently with a spatula or wooden spoon until just combined—be careful not to over-mix as this will keep the cornbread light and fluffy.
Carefully fold in the shredded cheddar cheese and finely chopped jalapeños, ensuring they are evenly distributed throughout the batter without overworking the mixture.
Transfer the cornbread batter to the prepared baking pan, using a spatula to smooth the top for even baking.
Place the pan in the preheated oven and bake for 20-25 minutes. The cornbread is done when the top is golden brown and a toothpick inserted in the center comes out clean.
Allow the cornbread to cool in the pan for about 10 minutes before carefully transferring it to a wire rack to cool completely.
Notes
Serve warm with honey and butter for added flavor.