Intro to Factoring

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Intro to Factoring

-Hagrid

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Review: Distributive Property

Simplify Each Product:

2( x  3)

3(4 x

2

 9 x  1)

3 a ( a  2)

5 m ( m

2

 2 m  4)

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Double Distributive Property

*We want to make sure to multiply every part of the first expression by every part of the second! Then, collect like terms.

 x  2   x  4  

2 x

3



4 x

5

Double Distributive Property

 x  1   x  7   3 x  4   x  1 

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( x

  x 6 )( 6

 

2 6 )

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 x

2 

4

  x

3

More Distributive Property

Simplify the following products and write answers in standard form.

3 x

2

  x

2 

3 x

4

( t

2 

6 t

3 )( 2 t

5 )

Finding Greatest Common Factors (GCF)

The greatest common factor (GCF) is the greatest factor that divides evenly into each term of an expression.

4

12 and 30 x and x

6

48 x

3 and 120 x

4

Finding Greatest Common Factors (GCF)

Find the GCF from the terms in the following expressions.

7 p

2 

21 4 x

5 y

3 

20 x

4 y

12 x

3 y

2

Finding Greatest Common Factors (GCF)

Find the GCF from the terms in the following expressions.

1) 4 w

2 

2 w

2) 27 z

9 x

2 z

2

3) 9 x

2 

3 x

18

4) 15 a

2 b

2 

25 ab

3 

100 b

4

HW: Worksheet Page 1: #1-39

Distribution and Factoring

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