# Algebra Polynomials and Factoring Vocab

## 11 terms

### Monomial

one term that consists of a number, a variable, or the product of the 2 with whole number exponents

### Degree of a Monomial

The sum of the exponents of the variables in the monomial

### Polynomial

a monomial or the sum of monomials, each called a term. Terms are separated with + and - signs.

### Binomial

a polynomial with 2 terms

### trinomial

a polynomial with 3 terms

### Degree of Polynomial

the greatest degree of its terms

### Leading coefficient

the coefficient of the 1st term of the polynomial once it has been ordered

### FOIL

First Outer Inner Last

### Perfect Square Trinomial

when we square a binomial, the answer is a trinomial

### Difference of squares

when we multiply using the sum and difference pattern, the answer is a binomial

### How to recognize a Perfect Square Trinomial

1- the first and last therms are perfect squares. 2- if you can double the outer or inner product and it equals the middle term