www.VirtualNerd.com

What is a Polynomial?

Definition: Polynomial

Summary

  1. A monomial is a number, a variable, or a product of both
  2. 'Product' means multiplication
  3. 'Sum' means addition
  4. A monomial has 1 term
  5. A binomial has 2 terms
  6. A trinomial has 3 terms
  7. 4xx has 1 term, 4x4, so it is a monomial
  8. 4xx+7 has 2 terms, 4x4 and 7, so it is a binomial
  9. 4xx+7-5az3 has 3 terms, 4x4, 7, and 5az3, so it is a trinomial
  10. If we have more than 3 terms, it's just called a polynomial

Notes

    1. A monomial is a number, a variable, or a product of both
    2. 'Product' means multiplication
    3. 'Sum' means addition
    4. So in a polynomial, we are adding one or more terms
    1. Terms are the parts of an expression that are separated by addition or subtraction
    1. A monomial is a number, a variable, or a product of both
    2. 'Product' means multiplication
    1. A binomial is two monomials added together
    1. A trinomial is three monomials added together
    1. A monomial is a number, a variable, or a product of both
    2. 'Product' means multiplication
    1. A monomial is a number, a variable, or a product of both
    2. 'Product' means multiplication
    1. A monomial is a number, a variable, or a product of both
    2. 4xx is the product of a number, 4, and a variable, x4
    3. So 4x4 is a monomial
    1. 7 is another monomial, because it's just a number
    2. So if we add that to 4x4, we have two monomials added together
    3. So 4x4+7 is a binomial
    1. Three monomials added together is called a trinomial
    2. So 4x4+7+-5az3 is a trinomial
    1. Once you get past three, there are no more special names!
    1. A monomial has 1 term
    2. A binomial has 2 terms
    3. A trinomial has 3 terms
    4. Any more than 3 terms, we just call it a polynomial