2.2: Classifying Polynomials

One term with a number, a variable, or a product of numbers and variables with whole-number exponents.

Monomial

The degree of the term with the greatest degree.

Degree of a polynomial

A polynomial of degree 0.

Constant

A polynomial of degree 1.

Linear

A polynomial of degree 2.

Quadratic

A polynomial of degree 3.

Cubic

A polynomial of degree 4

Quartic

A polynomial of degree 5

Quintic

A polynomial of degree "n" (n>5)

nth degree

A polynomial with one term.

Monomial

A polynomial with two terms.

Binomial

A polynomial with three terms.

Trinomial

A polynomial with n terms (n>3)

Polynomial with n terms

Classify the polynomial:

3x⁵-7x-9

Quintic Trinomial

Classify the polynomial:

3

Constant Monomial

Classify the polynomial:

7-3x

Linear Binomial

7x-x³+5x²-3

Cubic Polynomial with 4 Terms

6n⁷

7th Degree Monomial

x²-7x-10

Quadratic Trinomial

Write in standard form:

7x-2+x⁴-3x³-x⁵

-x⁵+x⁴-3x³+7x-2