Chapter 4.2, Problem 19PPS

To determine

The terms, like terms, coefficients and the constants

Answer to Problem 19PPS

The terms are $4x,4y,4z,4$

There are no like terms

The term $4$ is constant

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

Explanation of Solution

Given:

The given expression is

  $4x+4y+4z+4$

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 $4x,4y,4z,4$

There are no like terms

The term $4$ is constant

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