5.1 the greatest common factor, factoring by grouping€¦ · 6.1 greatest common factors and...
TRANSCRIPT
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6.1 Greatest Common Factors
and Factoring by Grouping
Written by: Cindy Alder
Objectives
• Factor out the greatest common factor.
• Factor by grouping.
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Foldable
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Foldable
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Factor out the Greatest Common Factor
7𝑘 + 28
8𝑎 − 9
32𝑚 + 24
5𝑧 + 5
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Factor out the Greatest Common Factor
100𝑚5 − 50𝑚4 + 25𝑚3
5𝑚4𝑥3 + 15𝑚5𝑥6 − 20𝑚4𝑥6
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Factor out a Binomial Factor
6 𝑝 + 𝑞 − 𝑟 𝑝 + 𝑞
𝑎 + 2 𝑎 − 3 + 𝑎 + 2 𝑧 + 6
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Factor out a Binomial Factor
𝑦 − 1 𝑦 + 3 − 𝑦 − 1 𝑦 + 4
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Factor out a Binomial Factor
𝑘2 𝑎 + 5𝑏 + 𝑚2 𝑎 + 5𝑏 2
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Factor out a Negative Common Factor
−6𝑥2 + 5𝑥
−𝑦3 + 3𝑦2 − 5𝑦
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Foldable
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4 or More Terms – Factor by Grouping
6𝑝 − 6𝑞 + 𝑟𝑝 − 𝑟𝑞
3𝑥𝑦2 − 6𝑦2 − 12𝑥𝑦 + 24𝑦
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4 or More Terms – Factor by Grouping
𝑘𝑛 + 𝑚𝑛 − 𝑘 − 𝑚
8𝑥2𝑦 + 12𝑥𝑦 + 8𝑥2 + 12𝑥
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4 or More Terms – Factor by Grouping
6𝑦2 − 20𝑤 + 15𝑦 − 8𝑦𝑤
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4 or More Terms – Factor by Grouping
2𝑎2 − 4 + 𝑎2𝑏 + 3𝑏
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4 or More Terms – Factor by Grouping
4 − 18𝑦 + 9𝑥𝑦 − 2𝑥