Question

Which of the following is a monomial? A.2x+yz b. 2+xyz c. 2xyz2 d. 2x-yz

Answer 1

The first thing you should know for this case is that a monomial is a single term that can be composed of the product of:

1) A coefficient with one or more variables of degree 1.

2) A coefficient with one or more variables of different degrees

For this case, the following expression is a monomial:

$2xyz ^ 2$

The coefficient is 2.

The variables of degree 1 are x and y.

The variable of degree 2 is z.

Answer:

the following is a monomial:

c. $2xyz^2$

Answer 2

The correct option is $\boxed{\bf option (c)}$.

Further explanation:

A monomial is an expression in algebra which contains only one term.

For example: The expression $3xy$ is a monomial.

Monomial has numbers (real numbers) and variables that are multiplied together.

Option (a)

The expression given in option (a) is $2x+yz$.

The expression given in option (a) has two terms. So, it is not a monomial.

Therefore, option (a) is incorrect.

Option (b)

The expression given in option (b) is $2+xyz$.

The expression given in option (b) has two terms. So, it is not a monomial.

Therefore, option (b) is incorrect.

Option (c)

The expression given in option (c) is $2xyz$.

The expression given in option (c) has only one term. So, it is a monomial.

Therefore, option (c) is correct.

Option (d)

The expression given in option (d) is $2x-yz$.

The expression given in option (d) has two terms. So, it is not a monomial.

Therefore, option (d) is incorrect.

Thus, the expression $\boxed{2xyz}$ is a monomial so, the correct option is $\boxed{\bf option (c)}$.

Learn more

1. Problem on intercept of a quadratic equation brainly.com/question/1332667

2. Problem on the center and radius of an equation brainly.com/question/9510228

3. Problem on the general form of the equation of the circle brainly.com/question/1506955

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Polynomials

Keywords: Monomials, polynomials, binomials, trinomials, algebraic expression, function, sets,  real numbers, integers, whole numbers, natural numbers, degree of polynomials, variables.