## Intermediate Algebra: Connecting Concepts through Application

$\text{Number of terms: } 3 \\\text{1st term: } 8a^3b^2 \text{ (variable term; coefficient is$8$)} \\\text{2nd term: } -7a^2b \text{ (variable term; coefficient is$-7$)} \\\text{3rd term: } 19ab \text{ (variable term; coefficient is$19$)}$
$\bf{\text{Solution Outline:}}$ 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, $8a^3b^2-7a^2b+19ab ,$ has the following characteristics: \begin{array}{l}\require{cancel} \text{Number of terms: } 3 \\\text{1st term: } 8a^3b^2 \text{ (variable term; coefficient is $8$)} \\\text{2nd term: } -7a^2b \text{ (variable term; coefficient is $-7$)} \\\text{3rd term: } 19ab \text{ (variable term; coefficient is $19$)} .\end{array}