Polynomials

Quadratic Trinomial

5x² − 3x + 7

Linear Binomial

3x+9

Constant Monomial

-2

Sixth Degree Polynomial with 4 Terms

x⁶+ 3x³ − 2x + 1

Cubic Monomial

-2x³

Quadratic Binomial

-x² − x

Cubic Trinomial

x³ + 5x² − 3x

Quadratic Monomial

7y²

Cubic Polynomial with 4 Terms

9x³ − 5x² + 6x − 1

Linear Monomial

x

monomial

a polynomial with only one term

binomial

a polynomial with two terms

trinomial

a polynomial with three terms

constant

a polynomial with a degree of zero; for example: 5

linear

a polynomial with a degree of 1

quadratic

a polynomial with a degree of 2

cubic

a polynomial with a degree of 3

Coefficient

the number in front of the variable

Standard Form of a Polynomial

terms are arranged from the largest exponent to the smallest exponent

Variable

A letter that stands for an unknown (i.e in 6x, x is the variable)

Degree

The degree of a term is equal to the number that the variable is raised to (the exponent). If the term is 3x² , the degree is 2.

Polynomial

A collection of terms connected by addition or subtraction.

Degree of a Polynomial

The highest exponent value in the polynomial.

Leading Coefficient

coefficient of the first term when the polynomial is in standard form

Term

a number, variable, or a product or quotient of numbers & variables ex. 3x²y