Question

identify the terms, the degree of each term and the degree of the polynomial. then
$2a^{10} + 11a^{11}f^{4} + 5a^{5}f^{5} + 9a^{5} - 4$
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 $2a^{10} + 11a^{11}f^{4} + 5a^{5}f^{5} + 9a^{5} - 4$ is 15.
the leading term of the polynomial is $11a^{11}f^{4}$.
the leading coefficient of the polynomial is 4.

Explanation:

Step1: Correct leading coefficient

The leading term is $11a^{11}f^4$, so its coefficient is the numerical factor in this term.

Step2: Verify all values

Confirm term degrees:

• Term $2a^{10}$: degree $10$
• Term $11a^{11}f^4$: degree $11+4=15$
• Term $5a^5f^5$: degree $5+5=10$
• Term $9a^5$: degree $5$
• Term $-4$: degree $0$

Polynomial degree = highest term degree = $15$
Leading term = term with highest degree = $11a^{11}f^4$
Leading coefficient = coefficient of leading term = $11$

Answer:

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 $2a^{10} + 11a^{11}f^4 + 5a^5f^5 + 9a^5 - 4$ is 15.
The leading term of the polynomial is $11a^{11}f^4$.
The leading coefficient of the polynomial is 11.