# Chapter 9 Vocabulary

## 15 terms

### 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

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