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Factors aremultiplicativeterms (i.e., they multiply into all the terms). The easiest way to see this is by example.

Example 1:

a(b+cd)
a is a factor and (b+cd) is a factor

Example 2:
x2 - 9 = (x-3)(x+3)
(x-3) is a factor and (x+3) is a factor


Hopefully you are beginning to notice you can always wrap parenthesis around a factor without altering the order of operations.


Example 3:
2a(b)(9n-x)+8

This is a trick one, but you can factor out a 2:

2a(b)(9n-x)+8 = (1)(2)a(b)(9n-x)+(4)(2) = (2)(ab(9n-x)+4)

The factors are: 2 and (ab(9n-x)+4)


Example 4:

If that +8 wasn't on example 3, what would the factors be?

2a(b)(9n-x)

They would be:

2, a, b, and (9n-x)

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