Sec. 8.1
Monomials and Factoring
A whole number, greater than ___, for which the only factors are 1 and itself, is called a ______________.
A whole number, greater than 1, that has ______________ two factors is called a ____________ number.
A whole number expressed as the ____________ of _______________ is called the prime factorization
of the number.
Factoring a __________ is similar to factoring a whole number. A monomial is in factored form when it is
expressed as the product of __________________and _______________, and no variable has an
__________ greater than 1.
Ex. 1 Prime Factorization of a Monomial
Factor -12a2b3 completely.
Greatest Common Factor
Two or more numbers may have some common ________ factors. Consider the prime factorization of 48
and 60.
The _______________________ (GCF) is the __________ number that is a factor of both __________
numbers. The GCF of two or more monomials can be found in a similar way.
Ex. 2 GCF of a Set of Monomials
Find the GCF of 36x2y and 54xy2z