Monomials, Binomials, and Polynomials

Monomials, Binomials, and Polynomials

  1. 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)
    Monomials, Binomials, and Polynomials 1
    (notice: no negative exponents, no fractional exponents)
  2. A binomial is the sum of two monomials. It has two unlike terms.
    (bi implies two)
    Monomials, Binomials, and Polynomials 2
  3. A trinomial is the sum of three monomials. It has three unlike terms. (tri implies three)
    Monomials, Binomials, and Polynomials 3
  4. A polynomial is the sum of one or more terms. (poly implies many)
    Monomials, Binomials, and Polynomials 4

Polynomials are in simplest form when they contain no like terms.
Monomials, Binomials, and Polynomials 5

Polynomials are generally written in descending order.
Monomials, Binomials, and Polynomials 6

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