Select the correct choice below and fill in the answer box to complete your choice. A. The polynomial cannot be simplified. The polynomial written in descending powers is \( 7 x^{3}-3 x \). B. The polynomial can be simplified. \( 7 x^{3}-3 x= \) The degree is (Type a whole number.)

To determine whether the polynomial can be simplified and to find its degree, let's analyze the given polynomial \( 7x^3 - 3x \). 1. **Identify the terms**: The polynomial consists of two terms: \( 7x^3 \) and \( -3x \). 2. **Check for common factors**: Both terms have a common factor of \( x \). We can factor out \( x \): \[ 7x^3 - 3x = x(7x^2 - 3) \] 3. **Simplification**: The polynomial can indeed be simplified to \( x(7x^2 - 3) \). 4. **Determine the degree**: The degree of a polynomial is the highest power of the variable in the polynomial. In the original polynomial \( 7x^3 - 3x \), the highest power is \( 3 \) (from the term \( 7x^3 \)). Thus, the degree of the polynomial is \( 3 \). Now, let's fill in the answer box based on the analysis: **Choice B**: The polynomial can be simplified. \( 7x^3 - 3x = x(7x^2 - 3) \). The degree is \( 3 \).