Chapter 9 Vocabulary
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15 terms
Terms | Definitions |
|---|---|
 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 | ... |
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