Find the degree of the polynomial $$ x^{6} - 2x^{4} + x^{3} + 9 $$.

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To determine the degree of the polynomial $$ x^{6} - 2x^{4} + x^{3} + 9 $$, follow these steps:

1. **Identify the Terms and Their Exponents:**
   - $$ x^{6} $$ has an exponent of 6.
   - $$ -2x^{4} $$ has an exponent of 4.
   - $$ x^{3} $$ has an exponent of 3.
   - $$ 9 $$ is a constant term, which can be thought of as $$ 9x^{0} $$ with an exponent of 0.

2. **Determine the Highest Exponent:**
   - Among the exponents 6, 4, 3, and 0, the highest is **6**.

3. **Check the Coefficient of the Highest Exponent:**
   - The coefficient of $$ x^{6} $$ is **1**, which is non-zero.

Since the highest exponent with a non-zero coefficient is **6**, the degree of the polynomial is **6**.

**Answer:**  
6
The degree of the polynomial is 6.

Find the degree of the polynomial .

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