Verified Answer :

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. \(2xyz^2\)

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 \(\boxed{\bf option (c)}\).

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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.