Polynomials

product rule for exponents

add the exponents

power rule of exponents (x^a)^b

multiply the exponents

Quotient rule x^a/x^b

x^a-b
Subtract

Negative Exponent Rule

x ⁻ⁿ = 1/xⁿ

Zero Exponent Rule

Anything raised to the zero power = 1

Polynomial

A monomial or the sum of monomials

Degree

The highest exponent of a polynomial

Standard form

To express a polynomial by putting the terms in descending exponent order and alphabetical order

Degree 0

Constant

D 1

Linear

D 2

Quadratic

D 3

Cubic

D 4

Quartic

D5

Quintic

T 1

monomial

T 2

Binomial

3

Trinomial

4+

4 term polynomial