Preheat your oven to 400°F (200°C). Grease your baking dish with a little oil or cooking spray.
In a large mixing bowl, whisk together the cornmeal, flour, sugar, baking powder, and salt.
In another bowl, combine the milk, eggs, and vegetable oil. Mix well.
Pour the wet ingredients into the dry ingredients and stir until just combined. Do not overmix.
Fold in the shredded cheddar cheese, crumbled bacon, diced jalapeños, and corn kernels until evenly distributed.
Pour the batter into the prepared baking dish, spreading it evenly.
Bake in the preheated oven for about 25-30 minutes, or until the top is golden and a toothpick inserted into the center comes out clean.
Once baked, remove the cornbread from the oven and let it cool for a few minutes. Cut into squares and serve warm.