Chapter 4.1, Problem 3OE

a.

To determine

The degree of the monomial $x{y}^2{z}^2$ .

Answer to Problem 3OE

The degree of monomial is 5.

Explanation of Solution

Given information: The given monomial is $x{y}^2{z}^2$ .

Calculation: Since the degree of a monomial is defined as the sum of the degrees of the variables, if the variables are multiplied together. Therefore in the monomial $x{y}^2{z}^2$ the variables $\left(x,y,z\right)$ have degrees $\left(1,2,2\right)$ respectively. Therefore the degree of monomial is 5 because the sum of the exponents of variables gives 5.

b.

To determine

The coefficient of the monomial $x{y}^2{z}^2$ .

Answer to Problem 3OE

The coefficient of the monomial is 1.

Explanation of Solution

Given information: The given monomial is $x{y}^2{z}^2$ .

Calculation: Since, the coefficient in a monomial is defined as the constant or numerical factor in the given monomial.

And in the monomial $x{y}^2{z}^2$ the coefficient is 1. So its coefficient is 1.