Place peppers into a food processor or blender and process until smooth.
Add the broth to a medium saucepan along with the salt and red pepper puree. Bring to a boil.
While stirring, slowly add in the polenta.
Reduce heat to a simmer and stir continuously for 3 minutes.
Cook the polenta for 35-40 minutes, stirring often, scraping the bottom of the pan to prevent sticking. I use a flat wooden spoon for this. If the polenta starts to splatter you can place a lid on the pot, but put it on loosely so moisture can still escape.