Answer
$\text{Number of terms: }
3
\\\text{1st term: }
14m^3n^6
\text{ (variable term; coefficient is $14$)}
\\\text{2nd term: }
-8m^2n
\text{ (variable term; coefficient is $-8$)}
\\\text{3rd term: }
205
\text{ (constant term)}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the definition of an algebraic term, a constant term, a variable term, and the coefficient of a term.
$\bf{\text{Solution Details:}}$
Algebraic terms are constants and variables that are separated by a plus or minus sign.
Constant terms are terms without any variable. Terms that contain a variable are called variable terms. The constant that goes with the variable term is called its coefficient.
Using the definitions above, the given expression, $
14m^3n^6-8m^2n+205
,$ has the following characteristics:
\begin{array}{l}\require{cancel}
\text{Number of terms: }
3
\\\text{1st term: }
14m^3n^6
\text{ (variable term; coefficient is $14$)}
\\\text{2nd term: }
-8m^2n
\text{ (variable term; coefficient is $-8$)}
\\\text{3rd term: }
205
\text{ (constant term)}
.\end{array}
