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Answer:
When two or more numbers are multiplied, the result is a single
number. Factoring is the reverse process. In factoring, we begin
with a single number and express it as the product of two or more
numbers. For example, the product of 7 and 4 is 28. So, factoring
28, we get 28 = 7 · 4. In Lesson 11-3, you multiplied monomials by
polynomials to obtain polynomials. In this lesson you will learn how
to reverse the process.
If factors are not integers, then every number has infi nitely many
factors. For example, 8 is not only 4 · 2 and 8 · 1, but also 24 ·
1
__
3
and 2.5 · 3.2. For this reason, in this book all factoring is over
the set of integers.
Factoring Monomials
Every expression has itself and the number 1 as a factor. These are
called the trivial factors. If a monomial is the product of two or more
variables or numbers, then it will have factors other than itself and 1