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Prime Number A whole number, greater than 1, whose only factors are 1 and itself Composite Number A whole number, greater than 1, that has more than two factors Prime Factorization When a whole number is expressed as the product of factors that are all prime numbers Factored Form A monomial is in ___________ when it is expressed as the product of prime numbers and variables and no variable has an exponent greater than 1. Greatest Common Factor-GCF is.... Greatest number that is a factor of both original numbers Constant A number with no variable You get the middle term by ______ a combination of the inside and outside What does the middle term not consist of? Exponents or constant Factoring Means to find its completely factored form Factoring by Grouping The Distributive Property can also be used to factor some polynomials having four or more terms Zero Product Property At least one of the factors is zero A polynomial can be factored by grouping if all of the following situations exist.... *There are 4 or more terms *Terms with common factors can be grouped together *The two common factors are identical or are additive inverses of each other Zero Product Property If the product of two factors is 0, then at least one of the factors must be 0. For any real numbers a and b, if ab=0, then either a=0, b=0, or both a and b equal zero. Greatest Common Factor *The GCF of two or more integers is the product of the prime factors common to the integers *The GCF of two or more monomials is the product of their common factors when each monomial is in factored form *If two or more integers or monomials have a GCF of 1, then the integers or monomials are said to be relatively prime Factoring ...