Question

what is the degree of $4a^{2}b^{2}+2ab^{3}$?
11
5
10
7

Explanation:

Step1: Define degree of monomial

The degree of a monomial is the sum of the exponents of its variables.

Step2: Calculate degree of first term

For $4a^3b^2$, sum exponents: $3 + 2 = 5$

Step3: Calculate degree of second term

For $2ab^3$, sum exponents: $1 + 3 = 4$

Step4: Identify polynomial degree

The degree of a polynomial is the highest degree of its monomial terms. Compare 5 and 4, the highest is 5.

Answer:

5