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Factoring EX: (22x – 4) = 2(11x – 2)
Factoring is the opposite of distributing (rainbow arrows). It brings a number out of the parenthesis instead of putting it in. EX: (22x – 4) = (11x – 2) expanded form factored form
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Going from Expanded to Factored form:
Find the Greatest Common Factor between all values in the expression Put the GCF outside of ( ) Example: the GCF of 3 and 18 is 3.
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Take the first value and divide it by the GCF
(3x + 18) 3x divided by 3 = 1x Take the second value and divide it by the GCF (3x + 18) 18 divided by 3 = 6 Rewrite expression with the factor out of () 3(x + 6)
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Example Factor (16x + 40) Find the GCF 8
Factor the GCF out of the parenthesis 8(2x + 5) Check by distribution 8(2x + 5) = 16x + 40
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Practice (9x + 27) 9(x + 3) (12x2 + 18x) 6x(2x + 3)
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