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.)

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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 $$ 3 $$.
The polynomial can be simplified to $$ x(7x^2 - 3) $$, and its degree is 3.

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.)

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