Q.77 - Intermediate Algebra

Question

Using your own words, explain the difference between a monomial, a binomial, and a trinomial.

Step-by-Step Solution

Answer

A monomial is a polynomial with exactly one term. A binomial has exactly two terms, and a trinomial has exactly three terms.

Step 1. Given Information

In the given question using our own words, we have to explain the difference between a monomial, a binomial, and a trinomial.

Step 2. Definition of a monomial, a binomial and a trinomial.

• A monomial is a polynomial with exactly one term.
• A binomial has exactly two terms.
• A trinomial has exactly three terms.

Step 3. The difference between a monomial, a binomial, and a trinomial.

A monomial is the product of non-negative powers of variables. A monomial has no variables in its denominator and will only  have one term. A binomial is the sum of two monomials and  thus will have two unlike terms. A trinomial is the sum of three monomials, meaning it will be the sum of three unlike terms.