Warm up

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Warm up Find the GCF
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10-2 Factoring using the Distributive Property

• Objective To use the GCF and the distributive
  property to factor.
• Standard 11.0

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FACTOR WORK BACKWARDS!

• Answer GCF ( out)

• Question

1. 3x 3
2. 2x2 6x
3. 2ab 9a

1. 3(x 1)
2. 2x(x 3)
3. a(2b 9)

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EXAMPLE 1

• 9x2y 6xy2
• GCF 3xy
• Divide it to the outside of some parenthesis
• Then write what you have left inside of the
  parenthesis for each term
• 3xy( )
• 3xy(3x2y)

3x
2y
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Quick TOO

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Grouping

• a(x y) b(x y)
• What do they have in common?
• (x y)
• (x y)( )
• (xy)(ab)

a b
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Example 2 Factoring by Grouping

• 3am 6bm 5an 10bn
• Group in pairs
• (3am 6bm) (5an 10bn)
• Factor out GCF from each pair
• 3m(a 2b) 5n(a 2b)
• (a 2b)( )

3m 5n
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Try with mathlete (hint group!)

• a2 3ab 2ac 6bc
• (a 3b)(a 2c)
• 2) 15x 3xy 20 4y
• (5 y)(3x 4)
• How can we check our answers?
• BOX method!

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Example 3

• 2my 7x 7m 2xy
• Reorder before grouping!
• 2my 2xy 7m 7x
• (2my 2xy) (7m 7x)
• 2y(m x) 7(m x)
• (m x)(2y 7)

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Example 4

• 6xy 15x 8y 20
• (6xy 15x) (-8y 20)
• Notice that I changed it to (-8y), keep
  negatives with their numbers!
• 3x(2y 5) 4(-2y 5)
• Factor a negative from 2nd parenthesis
• 3x(2y 5) 4(2y 5)
• (2y 5)(3x 4)

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TOO

• 1) rx 2ky 2ry kx
• Hint Reorder
• 2) 10mx 5rx 8m 4r
• Hint Pay attention to your negatives

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Homework

• Pg. 570 33-49 odd

Go to the choir show!!!!!!!!!!!!!!!!
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Math Lab Warm up
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GCF

• What does GCF stand for?
• Greatest Common Factor
• Example Find the GCF
• 4xy and -6x
• GCF 2x

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Find the GCF
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Factoring with GCF
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Grouping

• Use grouping when there are 4 terms.

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TOO
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Puzzle time

• 1 puzzle paper
• 1 colored paper
• 1 scissors
• Listen for instructions