Which of the following is a monomial?
A) [tex]$2 x-y z$[/tex]
B) [tex]$2 x+y z$[/tex]
C) [tex]$2 x y z^2$[/tex]
D) [tex]$2+x y z$[/tex]

A monomial is a single-term algebraic expression.
Examine each expression to see if it consists of only one term.
Expression C, 2 x y z 2 , is the only expression with a single term.
Therefore, the answer is C ​ .

Explanation

Understanding Monomials A monomial is an algebraic expression consisting of only one term. A monomial can be a number, a variable, or a product of numbers and variables with non-negative integer exponents. We are given four expressions, and we need to identify which of them is a monomial.

Analyzing Each Expression Let's examine each expression:



A) 2 x − yz : This expression has two terms, 2 x and − yz , separated by a subtraction sign. Therefore, it is not a monomial.
B) 2 x + yz : This expression has two terms, 2 x and yz , separated by an addition sign. Therefore, it is not a monomial.
C) 2 x y z 2 : This expression has only one term, which is a product of a constant, x , y , and z 2 . Therefore, it is a monomial.
D) 2 + x yz : This expression has two terms, 2 and x yz , separated by an addition sign. Therefore, it is not a monomial.


Identifying the Monomial Based on the analysis, only expression C, 2 x y z 2 , is a monomial because it consists of a single term.

Final Answer Therefore, the correct answer is C.


Examples
Monomials are fundamental in algebra and are used in various applications, such as calculating the area of a rectangle ( A = lw , where l is the length and w is the width) or the volume of a rectangular prism ( V = lw h , where l is the length, w is the width, and h is the height). In physics, monomials can represent quantities like kinetic energy ( K E = f r a c 1 2 m v 2 , where m is mass and v is velocity). Understanding monomials helps simplify and solve real-world problems in various fields.

Answered by GinnyAnswer | 2025-07-04

A monomial is a single-term algebraic expression. The expression that qualifies as a monomial among the given options is C: 2 x y z 2 . Thus, the answer is C ​ .
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Answered by Anonymous | 2025-07-17