Naming Polynomials


Polynomials look like this…



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Naming Polynomials

Polynomials look like this…

  • 4x² + 3x – 1
  • 8
  • 9xy²
  • 3x – 2y
  • 25x² - 4
  • 5x³ – 4x + 7

Names of Polynomials

A Polynomial can be named in two ways

Names by the number of terms:

1 term : monomial

Here are some monomials…

3x²

7xy

x

8

½x

2 terms : Binomial

Here are some binomials…

5x + 1

3x² - 4

x + y

3 terms : Trinomial

Here are some trinomials…

7x² + 2x – 10

4 or more terms – polynomial

There is no special name for polynomials with more than 3 terms, so we just refer to them as polynomials (the prefix “poly” means many )

Examples

Name each expression based on

its number of terms

  • 5x + 1
  • 7x²
  • 5x – 2xy + 3y
  • 6x³ - 9x² + x – 10
  • 5x + 1 Binomial
  • 7x² Monomial
  • 5x – 2xy + 3y Trinomial
  • 6x³ - 9x² + x – 10 Polynomial

Finding Degrees

In order to name a polynomial by degree, you need to know what degree of a polynomial is, right??

Finding Degrees

Definition of Degree

The degree of a monomial is the sum of the exponents of its variables.

For example,

The degree of 7x³ is 3


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