\( 1 \leftarrow \quad \) Find the degree of the polynomial. \[ x^{2}+5 x^{7}+4 x+5 x^{6}+6 \] The degree is \( \square \). (Type a whole number.)

1. Write the polynomial: \[ x^{2} + 5x^{7} + 4x + 5x^{6} + 6 \] 2. Identify the degree of each term: - \(x^2\) has degree \(2\). - \(5x^7\) has degree \(7\). - \(4x\) has degree \(1\). - \(5x^6\) has degree \(6\). - \(6\) (a constant) has degree \(0\). 3. The degree of the polynomial is the largest of these degrees, which is \(7\). The degree is \(7\).