Question

Classify the polynomial 38 as a monomial, binomial, trinomial, or none of these. Also, give the degree and the leading coefficient.

A. Monomial, Degree: 2, Leading Coefficient: 3
B. Trinomial, Degree: 1, Leading Coefficient: 38
C. Binomial, Degree: 0, Leading Coefficient: 1
D. None of these

Answer 1

The polynomial 38 is classified as a monomial. It has a degree of 0 since it contains no variables, and the leading coefficient is 38 as it is the only term.

Step-by-step explanation:

The polynomial given is 38. To classify it, let's look at its components. This polynomial consists of just one term, which is a constant. A monomial is defined as a polynomial with only one term. Therefore, 38 is a monomial. The degree of a nonzero constant term is always 0 because it does not contain any variable. The leading coefficient is the coefficient of the term with the highest degree. Since there is only one term in a monomial and it does not have a variable, the leading coefficient of this monomial is 38.