**Monomials, Binomials, and Polynomials**

- A
**monomial**is the product of non-negative integer powers of variables. Consequently, a monomial has NO variable in its denominator. It has one term. (mono implies one)

(notice: no negative exponents, no fractional exponents) - A
**binomial**is the sum of two monomials. It has two unlike terms.

(bi implies two)

- A
**trinomial**is the sum of three monomials. It has three unlike terms. (tri implies three)

- A
**polynomial**is the sum of one or more terms. (poly implies many)

Polynomials are in simplest form when they contain no like terms.

Polynomials are generally written in descending order.

**Read More:**

- What is a Polynomial?
- Types of Polynomials
- Adding Polynomials
- Subtracting Polynomials
- Dividing Polynomials
- Polynomials – Long Division
- Degree (of an Expression)
- Special Binomial Products
- Multiplying Binomials
- Difference of Two Cubes
- Polynomial Remainder Theorem
- Factoring in Algebra
- Factorization of Polynomials Using Factor Theorem
- How do you use the factor theorem?
- How to factorise a polynomial by splitting the middle term?
- Review Factoring Polynomials
- Zeros of a Polynomial Function
- Factors and Coefficients of a Polynomial
- Roots of Polynomials: Sums and Products
- Review Factoring Polynomials
- Solving Polynomial Equations of Higher Degree
- Examining Graphs of Polynomial Equations of Higher Degree