Small Business Tax Relief and Jobs Act of 2017 This bill amends the Internal Revenue Code to allow eligible small businesses an annual tax credit equal to 3.825% of the wages paid to up to three newly hired employees. The wages taken into account with respect to any employee may not exceed $100,000 per year. An "eligible small business" must have under $1.5 million in gross receipts and no more than 20 full-time employees during the preceding taxable year.