## Intermediate Algebra: Connecting Concepts through Application

$\text{Degree of Term 1: } 6 \\\text{Degree of Term 2: } 3 \\\text{Degree of Term 3: } 3 \\\text{Degree of the Polynomial: } 6$
$\bf{\text{Solution Outline:}}$ Use the definition of the degree of a term and the definition of the degree of a polynomial for the given polynomial, $23a^4b^2-62a^2b+9b^3 .$ $\bf{\text{Solution Details:}}$ The degree of a term is the sum of the exponents of the variables in the term. Hence, the degree of each term in the given polynomial expression above is \begin{array}{l}\require{cancel} \text{Term 1: } 4+2=6 \\\text{Term 2: } 2+1=3 \\\text{Term 3: } 3 .\end{array} The degree of a polynomial is the highest degree among all the terms. Hence, the given polynomial has the following characteristics: \begin{array}{l}\require{cancel} \text{Degree of Term 1: } 6 \\\text{Degree of Term 2: } 3 \\\text{Degree of Term 3: } 3 \\\text{Degree of the Polynomial: } 6 .\end{array}