Set your oven to broil.
Slice your jalapenos length-wise and remove the seeds.
Place under the broiler until they begin to crisp on top and the skin softens, 7-8 minutes. Dice and set aside
Reset your oven to 400 degrees. Grease an 8x8 square baking dish and set aside.
In a large bowl, whisk together the flour, cornmeal, baking powder, and salt.
Make a well in the flour mix and the egg, milk, and vegetable oil.
Mix until just combined.
Fold in the grated cheddar and diced jalapenos.
Pour the cornbread batter into the prepared baking dish and bake for 20-25 minutes.