Preheat the oven to 350 degrees. Butter and flour a 9-by-5-inch metal loaf pan. In a medium bowl, whisk the 1 1/4 cups of flour with the baking soda and salt. In another bowl, whisk the eggs with the oil, sugar, and mashed bananas. Stir the banana mixture into the dry ingredients.

Scrape the batter into the prepared pan and bake in the center of the oven for about 50 minutes, until the bread is golden and a toothpick inserted into the center of the loaf comes out clean. Transfer the pan to a rack and let cool for 15 minutes, then turn the bread out onto the rack and let cool completely. Dust the top with confectioners' sugar, cut into slices, and serve.

The bread can be wrapped in plastic and refrigerated for up to 1 week.