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Monomials, Binomials, and Polynomials

December 15, 2020 by Veerendra

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

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

Filed Under: Mathematics Tagged With: Binomials, Monomials, Monomials Binomials Polynomials, Polynomials

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