## Intermediate Algebra: Connecting Concepts through Application

$\text{Number of terms: } 3 \\\text{1st term: } 7x^2 \text{ (variable term; coefficient is$7$)} \\\text{2nd term: } 8x \text{ (variable term; coefficient is$8$)} \\\text{3rd term: } -10 \text{ (constant term)}$
$\bf{\text{Solution Outline:}}$ 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, $7x^2+8x-10 ,$ has the following characteristics: \begin{array}{l}\require{cancel} \text{Number of terms: } 3 \\\text{1st term: } 7x^2 \text{ (variable term; coefficient is $7$)} \\\text{2nd term: } 8x \text{ (variable term; coefficient is $8$)} \\\text{3rd term: } -10 \text{ (constant term)} .\end{array}