Find the degree of the polynomial.
SUBMIT ANSWER
Enter an exact number.
Sr…

Ask by Davison Park. in the United States

Jan 24,2025

Question

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

UpStudy AI · Accepted Answer

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…