Trademarks last for 10 years from the date of receipt. Prior to expiration, you have up to six months to renew your trade name or trademark.You can file trade names and trademarks through the Arizona Secretary of State website. All companies must file online. You may only use the registration symbol with the trademark for the goods or services listed in the federal trademark registration. Fill Out The Trademark Application. Resources are available for Arizona residents to help inventors and entrepreneurs learn more about protecting their intellectual property. We're going to talk about how to file your own trademark application with the united states patent and trademark office. Patents for dummies, referred to as patents for the beginner, will provide you with some entrylevel information on how to obtain a patent.