1.23.14 factoring review day · microsoft word - 1.23.14 factoring review day.docx author: allison...
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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?
____________________________________
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?
____________________________________
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?
____________________________________
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?
____________________________________
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?
____________________________________
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?
____________________________________
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?
____________________________________
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?
____________________________________
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
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