| Term | Definition |
| polynomial | expression which is the sum of terms of the form ax to the k power |
| standard form of a polynomial | terms placed in descending order from largest degree to smallest degree |
| degree of a polynomial | largest degree of its terms |
| leading coefficient | coefficient of the first term in standard form |
| monomial | polynomial with only one term |
| binomial | polynomial with two terms |
| trinomial | polynomial with three terms |
| factored form | when a polynomial is written as the product of 2 or more linear factors |
| zero-product property | if a*b= 0 then a=0 or b=0 |
| FOIL | first, outer, inner, last |
| sum and difference pattern | (a+b)(a-b)=a²+b² |
| square of a binomial pattern | (a+b)²=a²+2ab+b²; (a-b)²=a²-2ab+b² |
| difference of two squares pattern | a²-b²=(a+b)(a-b) |
| perfect square trinomial pattern | a²+2ab+b²=(a+b)²;a²-2ab+b²=(a-b)² |