Math Problem Statement
Which of these is a monomial? Options: 12xy, x^2 + y^2, 2x - 8, x + y.
Solution
The question asks, "Which of these is a monomial?"
A monomial is an algebraic expression that consists of only one term. This term can be a constant, a variable, or a product of constants and variables raised to non-negative integer powers. It cannot include addition or subtraction.
Let's analyze the options:
- 12xy – This is a monomial because it is a single term made up of the constant and the variables and .
- x² + y² – This is not a monomial because it consists of two terms.
- 2x - 8 – This is not a monomial because it involves subtraction, so it has two terms.
- x + y – This is not a monomial because it consists of two terms.
The correct answer is 12xy.
Would you like more details or have any questions?
Here are some related questions:
- What is the definition of a polynomial?
- How is a binomial different from a monomial?
- Can a monomial include negative exponents?
- How do you multiply two monomials?
- Can a monomial include division between variables?
Tip: A monomial can contain constants and variables, but it must be a single term with no addition or subtraction.
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomials
Monomials
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8