Question

identify the terms, the degree of each term and the degree of the polynomial. then identify the leading term,
$2a^{10} + 11a^{11}r^4 + 5a^5r^5 + 9a^5 - 4$
$2a^{10},11a^{11}r^4,5a^5r^5,9a^5,-4$
(use a comma to separate answers as needed.)
the degree of the first term is 10.
the degree of the second term is 15.
the degree of the third term is 10.
the degree of the fourth term is 5.
the degree of the fifth term is 0.
the degree of the polynomial $2a^{10} + 11a^{11}r^4 + 5a^5r^5 + 9a^5 - 4$ is $\square$.

Explanation:

Step1: Recall polynomial degree rule

The degree of a polynomial is the highest degree among all its individual terms.

Step2: List all term degrees

Term degrees: $10, 15, 10, 5, 0$

Step3: Find maximum degree

$\text{Max}(10, 15, 10, 5, 0) = 15$

Step4: Identify leading term

The leading term is the term with the highest degree: $11a^{11}t^4$

Answer:

The degree of the polynomial is $\boldsymbol{15}$, and the leading term is $\boldsymbol{11a^{11}t^4}$.