Final answer:
The degree of the polynomial 2r¹⁰ + 11r¹¹ p⁹ + 5r⁵ p% + 9r⁵ – 9 is 20, found by adding the exponents of the variables in each term and identifying the highest total.
Step-by-step explanation:
The degree of a polynomial is considered to be the highest sum of the exponents of its variables in any term. In your given polynomial, 2r¹⁰ + 11r¹¹ p⁹ + 5r⁵ p% + 9r⁵ – 9, we got a term 11r¹¹ p⁹. For this term, the exponents of the variables r and p are 11 and 9 respectively. To find the degree of this term, we add these exponents together. So, 11 + 9 = 20. The degree of term 5r⁵ p% is undefined due to the typographical error in the variable p. The degrees for other terms 2r¹⁰ and 9r⁵ can be found similarly and they are 10 and 5 respectively. Comparing these, the highest is 20. Hence, the degree of the given polynomial is 20.
Learn more about Degree of a Polynomial