Polynomials

Study Guide

Terms

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Terms

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 a² - b².
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,

a² -2ab + b² = (a - b)(a - b)

ax² + abx + ac = a(x² + 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 a² +2ab + b².
Polynomial

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

A polynomial with three terms.

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