Factoring Review Skill #1: GCF

4𝑑! + 16 −11𝑝! − 44𝑝! + 55𝑝!

Skil l #2: Difference of Squares 𝑥! − 81

28𝑚! − 7 9𝑏! − 𝑠!

Skill #3: Trinomials ℎ! + 7ℎ + 12

𝑏! − 4𝑏 − 60

“Rainbow Method” (Split the Middle) 1) Multiply a*c 2) Bring down 1st and last term 3) Find 2 numbers which multiply to

be middle and add to be top 4) Split the middle term up! 5) Factor by grouping

Example:

8𝑥! − 10𝑥 − 3 A*C=______

8𝑥! + ___________ - _________ -3

2x( ________) -3(___________)

(___________) (___________)

6𝑥! + 19𝑥 + 10

6𝑣! + 13𝑣 − 8

Extension: 𝑥! + 2𝑥! + 1 4𝑥! − 9

Factoring “Speed Date” • Factor the problem you receive. Multiply factors back out to check that

you are correct:

Original Polynomial: ______________________

Factored Form: ______________________

You are now the expert on this problem!

• Trade problems with your first partner and factor. • Have them check the solution to see if you’re right! • When time is up, SWITCH!

Problem 1 Justification 1 Which method of factoring did you use?

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What about this problem caused you to solve it that way? _____________________________________

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Problem 2 Justification 2 Which method of factoring did you use?

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What about this problem caused you to solve it that way? _____________________________________

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Problem 3 Justification 3 Which method of factoring did you use?

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What about this problem caused you to solve it that way? _____________________________________

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Problem 4 Justification 4 Which method of factoring did you use?

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What about this problem caused you to solve it that way? _____________________________________

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Problem 5 Justification 5 Which method of factoring did you use?

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What about this problem caused you to solve it that way? _____________________________________

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Problem 6 Justification 6 Which method of factoring did you use?

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What about this problem caused you to solve it that way? _____________________________________

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Problem 7 Justification 7 Which method of factoring did you use?

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What about this problem caused you to solve it that way? _____________________________________

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Problem 8 Justification 8 Which method of factoring did you use?

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What about this problem caused you to solve it that way? _____________________________________

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Problem 9 Justification 9

Which method of factoring did you use?

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What about this problem caused you to solve it that way? _____________________________________

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Problem 10 Justification 10 Which method of factoring did you use?

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What about this problem caused you to solve it that way? _____________________________________

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Homework:

 14a!b! + 30a!b

     x! − 3x! + 4x − 1

   x! + 7x − 18    3x! + 2x − 5

   25x! − 64y!

   x! + 8x − 48

   4x! + 4x − 3

25t!m! − 10t!m! + 75t!m!

   5x! + 125

   4x! − 29x + 7