An expression that is a factor of two or more expressions is a COMMON FACTOR of those expressions.
A polynomial consisting of the difference of the cube powers of two expressions is a DIFFERENCE OF CUBES.
A polynomial consisting of the difference of the square powers of two expressions is a DIFFERENCE OF SQUARES.
The indicated product of two polynomials (where multiplication is written with a dot, or implied by juxtaposition) is called the FACTORED FORM of the product polynomial.
The process of finding the factored form of a polynomial is called FACTORING.
FACTORING BY GROUPING is a method of factoring which starts by rewriting the first-power term of a trinomial as the sum of two appropriate terms.
The GREATEST COMMON FACTOR (GCF) is the largest quantity that is a factor of each of a group of quantities.
A polynomial in which the coefficient of the highest power of x is 1, is called a MONIC polynomial.
A polynomial that can be written as the square of another polynomial with integer coefficients is a PERFECT SQUARE.
POLYRHYTHMS are complex combinations of rhythms which occasionally match beats. For example, every third beat of one rhythm might match every fourth beat of another.
Factors of a number or expression which are positive integers in the set╩{1,╩2,╩3,╩4, ...} are called POSITIVE INTEGER FACTORS of the number or expression.
A number or polynomial is factored into PRIME FACTORS if it is written as a product of prime polynomials.
A prime polynomial is a polynomial that cannot be factored.
A QUADRATIC EQUATION is an equation that can be written in the form displayed, where a, b, and c are real numbers, and a¡0.
A QUADRATIC EXPRESSION is an expression that can be written in the form displayed, where a, b, and c are real numbers, and a¡0.
A polynomial consisting of the sum of the cube powers of two expressions is a SUM OF CUBES.
A polynomial consisting of the sum of the square powers of two expressions is a SUM OF SQUARES.
The fact that, if the product of two real numbers is zero, at least one of the factors must be zero, is called the ZERO-FACTOR PROPERTY of the real numbers.
