What is one way to represent a monomial in a simple form?

What is one way to represent a monomial in a simple form?

• A. By adding two variables together
• B. As a product of a constant and a variable
• C. By combining multiple terms
• D. By multiplying two different constants

Answer: (B)

A monomial is defined as a single term that consists of a constant (also known as a coefficient) multiplied by one or more variables raised to a non-negative integer exponent. Therefore, representing a monomial in a simple form involves showing it as a product of a constant and a variable or variables. For example, \( 3x \) is a monomial where \( 3 \) is the constant (coefficient) and \( x \) is the variable. In this format, it clearly illustrates the single term nature of a monomial and conforms to its definition. The other options do not accurately reflect the characteristics of a monomial. Adding two variables together would create a binomial, which contains two terms. Combining multiple terms could involve creating polynomials with several terms, rather than maintaining the singular nature of a monomial. Multiplying two different constants might lead to a single value, but it would not involve a variable, which is essential for a term to be classified as a monomial.

A monomial is defined as a single term that consists of a constant (also known as a coefficient) multiplied by one or more variables raised to a non-negative integer exponent. Therefore, representing a monomial in a simple form involves showing it as a product of a constant and a variable or variables.

For example, ( 3x ) is a monomial where ( 3 ) is the constant (coefficient) and ( x ) is the variable. In this format, it clearly illustrates the single term nature of a monomial and conforms to its definition.

The other options do not accurately reflect the characteristics of a monomial. Adding two variables together would create a binomial, which contains two terms. Combining multiple terms could involve creating polynomials with several terms, rather than maintaining the singular nature of a monomial. Multiplying two different constants might lead to a single value, but it would not involve a variable, which is essential for a term to be classified as a monomial.