3.2 Factoring Linear Expression. GCF Also known as: The Greatest Common Factor Also known as: The largest number that can be divided into all.

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Presentation transcript:

3.2 Factoring Linear Expression

GCF Also known as: The Greatest Common Factor Also known as: The largest number that can be divided into all

28 36 The GCF is Hmm…. What number can divide both 7 and 9? 1 Multiply all of the side numbers to find the GCF Finding the Greatest Common Factor Cake Method Hmm…. What number can divide both 14 and 18? Hmm…. What number can divide both 28 and 36? For example, Find the GCF of 28 and 36

6ab 4a The GCF is 2a. 2 a 3ab 2a 3b 21 Multiply all of the side numbers and variables to find the GCF Finding the Greatest Common Factor Now let’s apply variables! For example, Find the GCF of 6ab and 4a

3x 2 y 4xy 2 The GCF is xy. x y 3xy 4y 2 3x 4y1 Finding the Greatest Common Factor Let’s kick it up a notch! For example, Find the GCF of 3x 2 y and 4xy 2 3x 2 y 3 x x y 4y 2 4 y y

14c 2 35c The GCF is 7c. 7 c 2c 2 5c 2c 51 Examples A)Find the GCF of 14c 2 and 35c 2c 2 2 c c

6a 3 b 4a 2 b The GCF is 2a 2 b. 2 a 3a 3 b 2a 2 b 3a 2 b 2aba Examples B)Find the GCF of 6a 3 b and 4a 2 b 3a 3 b 3 a a a b 2a 2 b 2 a a b 3ab 2bb 3a 21 2 a a b Once you get the hang of this method, you can start to factor out more than 1 variable, like a 2 or a 2 b.

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