FACTORING BY GROUPING

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FACTORING BY GROUPING
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Factoring by Grouping

• These kind of problems are really fun - pretend
  theyre in the Sunday puzzler.
• These problems usually have four terms.
• Remember G.C.F. means greatest common factor.

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Divide and conquer

• Factor
• Factor the G.C.F. out of the first two terms

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Hippity-hop

• Hippity-hop make a slot
• CHEAT! Copy the (x 2y )

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Fill the Slot

• Just focus on the 7x
• What needs to go in the slot to make 7x?

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Fill the Slot
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Check your cheat

• Now distribute the 7 to make sure we get the
  original last two terms.
• This ensures that we didnt shoot ourselves in
  the foot by cheating

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Build a house for the leftovers

• Pull out the common factor build a house for the
  leftovers!

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Check your work

• Foil to check your work.

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Sometimes you need to rearrange

• Factor 5x2 - 14y - 10xy 7x
• You cant factor the first 2!
• Rewrite 5x2 - 10xy 7x - 14y
• Be careful to move the sign with the numbers.
• Moving a number without his sign is like chopping
  off his arm!

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Remember

• When you pull a term out in front of the
  parentheses you want to be sure
• It is a factor of each original term.
• Its the GREATEST common factor of the terms.

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Watch those signs!

• Factor

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WHENEVER YOU FACTOR

• ALWAYS pull out
• the greatest common factor
• G.C.F.
• FIRST!

The End