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Polynomials

Terms

Introduction and Summary

Classification of Polynomials

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.

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