Find the degree of the polynomial. SUBMIT ANSWER Enter an exact number. Sr............... $$ r^{4} s^{4}-3 r^{4} s^{5} $$

Question

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The polynomial given is $$ r^{4} s^{4} - 3 r^{4} s^{5} $$.

To determine the degree of the polynomial, we look at each term and calculate the sum of the exponents of all variables in that term:

1. **First term:** $$ r^4 s^4 $$
   - Degree = 4 (from $$ r^4 $$) + 4 (from $$ s^4 $$) = **8**

2. **Second term:** $$ -3 r^4 s^5 $$
   - Degree = 4 (from $$ r^4 $$) + 5 (from $$ s^5 $$) = **9**

The degree of the polynomial is the highest degree among its terms, which is **9**.

**Answer:**  
9
The degree of the polynomial is 9.

Find the degree of the polynomial. SUBMIT ANSWER Enter an exact number. Sr............... \( r^{4} s^{4}-3 r^{4} s^{5} \)