Answer
$\text{Number of terms: }
3
\\\text{1st term: }
4m^7np^3
\text{ (variable term; coefficient is $4$)}
\\\text{2nd term: }
24m^5n^4p^3
\text{ (variable term; coefficient is $24$)}
\\\text{3rd term: }
14 \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, $
4m^7np^3+24m^5n^4p^3+14
,$ has the following characteristics:
\begin{array}{l}\require{cancel}
\text{Number of terms: }
3
\\\text{1st term: }
4m^7np^3
\text{ (variable term; coefficient is $4$)}
\\\text{2nd term: }
24m^5n^4p^3
\text{ (variable term; coefficient is $24$)}
\\\text{3rd term: }
14 \text{ (constant term)}
.\end{array}
