Math Problem Statement
which of these are monomials? A. xy B. y+x C. x3
Solution
To determine if an expression is a monomial, we need to check that it consists of a single term with non-negative integer exponents and no addition or subtraction. Let's analyze each option:
- A. : This is a product of two variables, and . Since it’s a single term, it is a monomial.
- B. : This expression includes an addition operation, so it consists of two terms rather than one. Therefore, it is not a monomial.
- C. : This is a single term where is raised to a positive integer exponent (3). Therefore, it is a monomial.
Answer: The monomials in this list are A (xy) and C (x³).
Would you like more details on monomials?
Related Questions
- What defines a polynomial, and how do monomials fit within polynomials?
- How would be classified if it were an option?
- What’s the difference between monomials and binomials?
- How does the degree of a monomial get calculated?
- Are constants like or considered monomials?
Tip: Monomials are always single terms without addition or subtraction and can include products of variables with integer exponents.
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Math Problem Analysis
Mathematical Concepts
Algebra
Monomials
Polynomials
Formulas
Definition of a monomial as a single term with non-negative integer exponents and no addition or subtraction
Theorems
Basic properties of monomials
Suitable Grade Level
Grades 6-8