## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$\text{First Term Coefficient: } 18 \\\text{First Term Degree: } 3 \\\\\text{Second Term Coefficient: } 36 \\\text{Second Term Degree: } 9 \\\\\text{Third Term Coefficient: } -7 \\\text{Third Term Degree: } 1 \\\\\text{Fourth Term Coefficient: } 3 \\\text{Fourth Term Degree: } 0 \\\\\text{Degree of the Polynomial: } 9$
The coefficient of a term is the number before the variables. The degree of a term is the sum of the exponents of all variables in a term. The degree of a polynomial is the highest degree among all the terms of the expression. Hence, the given expression, $18x^3+36x^9-7x+3 ,$ has the following characteristics: \begin{array}{l}\require{cancel} \text{First Term Coefficient: } 18 \\\text{First Term Degree: } 3 \\\\\text{Second Term Coefficient: } 36 \\\text{Second Term Degree: } 9 \\\\\text{Third Term Coefficient: } -7 \\\text{Third Term Degree: } 1 \\\\\text{Fourth Term Coefficient: } 3 \\\text{Fourth Term Degree: } 0 \\\\\text{Degree of the Polynomial: } 9 .\end{array}