Give the degree of the __ -6w^12-vx^6+7-15x^9w^2v^3 square

To determine the degree of the polynomial \(-6w^{12} - vx^{6} + 7 - 15x^{9}w^{2}v^{3}\), we need to identify the term with the highest total degree.<br /><br />The degree of a term is the sum of the exponents of the variables in that term.<br /><br />Let's analyze each term:<br /><br />1. \(-6w^{12}\): The degree is \(12\).<br />2. \(-vx^{6}\): The degree is \(1 + 6 = 7\).<br />3. \(7\): This is a constant term, so its degree is \(0\).<br />4. \(-15x^{9}w^{2}v^{3}\): The degree is \(9 + 2 + 3 = 14\).<br /><br />The highest degree among these terms is \(14\).<br /><br />Therefore, the degree of the polynomial is \(\boxed{14}\).