Chapter 4.2, Problem 20PPS

To determine

The terms, like terms, coefficients and the constants

Answer to Problem 20PPS

The terms are $3m,3n,2p,4r$

There are no like terms

There is no constant

The coefficients are $3,3,2\text{and }4$

Explanation of Solution

Given:

The given expression is

  $3m+3n+2p+4r$

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 $3m,3n,2p,4r$

There are no like terms

There is no constant

The coefficients are $3,3,2\text{and }4$