Answer
$\text{First Term Coefficient: }
18
\\\text{First Term Degree: }
3
\\\\\text{Second Term Coefficient: }
36
\\\text{Second Term Degree: }
9
\\\\\text{Third Term Coefficient: }
-7
\\\text{Third Term Degree: }
1
\\\\\text{Fourth Term Coefficient: }
3
\\\text{Fourth Term Degree: }
0
\\\\\text{Degree of the Polynomial: }
9$
Work Step by Step
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}
