Peel carrot and onion.
Roughly chop carrot, onion and zucchini.
Place chopped vegetables into a food processor. Add cheese and chickpeas. Process until evenly chopped and the mixture resembles a rough paste.
Add eggs and pulse to combine.
Add flour and process until well combined. You may need to stop and use a spoon to push mixture down from the edges periodically until it's properly mixed.
Heat a little butter or olive oil in a frying pan over medium heat.
Drop spoonfuls of the mixture into the pan and gently press flat with a spoon or spatula to make them about 1cm thick. You may need to dust the spoon or spatula with a bit of flour to prevent it from sticking. Try to make them about the size of regular burgers and keep them evenly spaced.
Fry for a few minutes each side until they are golden brown.
Remove from pan and allow to cool for a few moments before serving.
Makes about 12 regular sized burgers.