Skip to main content
  1. Life
  2. Education & Schools
  3. General Education

Defining polynomials

See also

Keeping in mind our previous definition of a monomial, a polynomial is simply the sum of a finite series of monomials. 2x^2 + 15x - 4xy^4z^2 is an example of a polynomial. It is the sum of a finite series of monomials, namely, three nomials. Keep in mind that a single term can itself be a polynomial. For a term to be a polynomial, it does not have to be more than one term, counterintuitive though that may sound. For example, -40z^9 is a polynomial. We produce this by adding a finite number of monomials together. When the sum of monomials do not have like terms, and are therefore not reducible to a single term, they constitute a polynomial. Indeed, we use the familiar concept of the "term," introduced before, to refer to the individual constituents of a polynomial.

Advertisement

Life

  • Johnny Manziel
    Should Johnny Manziel apologize for his hard partying over the offseason?
    Today's Buzz
  • Crop circles
    Similar crop circles appeared in Germany and England within days of each other
    Camera
    19 Photos
  • Advanced placement
    The AP program is gaining traction as a key component in college admissions
    Camera
    5 Photos
  • Beach hats
    Beat the heat with the best summer beach hats for women
    Camera
    Beach Hats
  • Expectations for ministry
    Pastor preaches to newly ordained ministers about expectations for ministry
    Camera
    6 Photos
  • Medical symptoms
    See which symptoms should cause you to seek a doctor’s attention right away
    Camera
    6 Photos