1Peel and grate the potatoes using a box grater. Squeeze out excess moisture using a clean kitchen towel or cheesecloth.
In a large bowl, combine the grated potatoes, egg, all-purpose flour, baking powder, grated cheddar cheese, salt, and black pepper. Mix well until all ingredients are evenly incorporated.
Heat the vegetable oil in a large non-stick skillet over medium heat.
Scoop about 2 tablespoons of the potato mixture and form it into a small pancake. Place it in the hot skillet. Repeat with the remaining mixture, cooking in batches if necessary.
Cook the pancakes for about 3-4 minutes on each side, or until they are golden brown and crispy.
Remove the pancakes from the skillet and drain on paper towels to remove excess oil.
Serve the cheesy potato pancakes warm, garnished with your choice of toppings such as sour cream or chives.