
Ascending Order
An ordering of terms of a polynomial in which the degree of each term is at least as large as the degree of the preceding term.

Binomial
A polynomial with two terms.

Common Factor
A factor of all the terms in an expression.

Degree
of a monomial. The sum of the exponents of its variables. of a polynomial. The largest of the degrees of its individual terms.

Descending Order
An ordering of terms of a polynomial in which the degree of each term is no larger than the degree of the preceding term.

Difference of Squares
The binomial which is the product of the sum and difference of the same two terms, i.e. one of the form a^{2}  b^{2}.

Factor
A factor is integer, variable, or polynomial that can be multiplied by a constant, an integer, or a polynomial to produce the given expression. To factor means to separate an expression into simpler factors. For instance,
a^{2} 2ab + b^{2} = (a  b)(a  b) ax^{2} + abx + ac = a(x^{2} + bx + c)

Leading Coefficient
The coefficient of the first term of a polynomial written in descending order.

Monomial
An expression with a single term; a real number, a variable, or the product of real numbers and variables

Perfect Square Trinomial
The square of a binomial; has the form a^{2} +2ab + b^{2}.

Polynomial
A monomial or the sum or difference of several monomials.

Trinomial
A polynomial with three terms.