Chapter 4.2, Problem 16PPS

To determine

The terms, like terms, coefficients and the constants

Answer to Problem 16PPS

The terms are $4m,3,m,1$

The terms $4m,m\text{ and }3,1$ are like terms

The terms $3\text{ and }1$ are constants

The coefficients are $4\text{ and }1$

Explanation of Solution

Given:

The given expression is

  $4m+3+m+1$

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 $4m,3,m,1$

The terms $4m,m\text{ and }3,1$ are like terms

The terms $3\text{ and }1$ are constants

The coefficients are $4\text{ and }1$