Respuesta :
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:
[tex] 2xyz ^ 2
[/tex]
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. [tex] 2xyz^2 [/tex]
The correct option is [tex]\boxed{\bf option (c)}[/tex].
Further explanation:
A monomial is an expression in algebra which contains only one term.
For example: The expression [tex]3xy[/tex] is a monomial.
Monomial has numbers (real numbers) and variables that are multiplied together.
Option (a)
The expression given in option (a) is [tex]2x+yz[/tex].
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 [tex]2+xyz[/tex].
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 [tex]2xyz[/tex].
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 [tex]2x-yz[/tex].
The expression given in option (d) has two terms. So, it is not a monomial.
Therefore, option (d) is incorrect.
Thus, the expression [tex]\boxed{2xyz}[/tex] is a monomial so, the correct option is [tex]\boxed{\bf option (c)}[/tex].
Learn more
1. Problem on intercept of a quadratic equation https://brainly.com/question/1332667
2. Problem on the center and radius of an equation https://brainly.com/question/9510228
3. Problem on the general form of the equation of the circle https://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.
