Chapter 4.2, Problem 17PPS

To determine

The terms, like terms, coefficients and the constants

Answer to Problem 17PPS

The terms are $3c,4d,5c,8$

The terms $3c\text{ and }5c$ are like terms

The term $8$ is constant

The coefficients are $3,4\text{ and }5$

Explanation of Solution

Given:

The given expression is

  $3c+4d+5c+8$

Calculation:

The algebraic expressions are made of terms separated with a + or a − sign. A term is the constant or the product of a constant and one or more variables.

The coefficient of the term is the constant that multiplies with one or more variables. The constant is a term which is having no variable. Like terms are the terms having the same variables and exponents. All the constants are also the like terms.

In the given expression:

The terms are $3c,4d,5c,8$

The terms $3c\text{ and }5c$ are like terms

The term $8$ is constant

The coefficients are $3,4\text{ and }5$