A monomial is a mathematical expression that consists of a single term. It can be a number, a variable, or a product of numbers and variables raised to whole number powers. To identify which of the options listed is a monomial, let’s review each one:
- 12c: This is a monomial because it is a single term made up of a coefficient (12) and a variable (c).
- c²: This is also a monomial since it consists of just one term, the variable c raised to the power of 2.
- 16c²: This is a monomial. It has a coefficient (16) and the variable c raised to the power of 2, making it a single term.
- c: This is a monomial as well. It’s a single variable term.
- 6c³: This is a monomial. It includes a coefficient (6) and the variable c raised to the third power.
- 4c²: This is another monomial, with a coefficient (4) and c raised to the power of 2.
- 12c: This one repeats and is indeed a monomial.
- 7: This is also a monomial as it consists of the number 7 alone, which can be considered a constant term.
In conclusion, all options listed (12c, c², 16c², c, 6c³, 4c², 12c, 7) are indeed monomials since they all fit the criteria of being single terms with either numerical coefficients alone or variables included.