Unit 9 Worksheet 4



Algebra 2

Unit 11.5

Factoring the Greatest Common Factor

NOTES

Examples

Find the GCF of the following.

1. 6, 12, 24 2. 12x, 6 3. 15x, 9x 4. [pic]

5. 30x4, 6x6, 18x2 6. [pic] 4. [pic]

5. [pic]

Factor the polynomial. Hint: You must find the GCF first!

6. [pic] 7. [pic] 8. [pic]

9. [pic] 10. [pic]

Algebra 2 Name_______________________

Unit 11.5 Period 1 2 3 4 5 6 7

Factoring the Greatest Common Factor

|Find the Greatest Common Factor of the following. |

|1. [pic] |2. 12x, 6 |3. 35x, 25x |

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|4. [pic] |5. [pic] |6. [pic] |

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|7. -15x5y3 , 6x6y2, -12x4y7 |8. –x8y2 , 4x4y, 8xy5 |9. 6x2y3 , 14x6y5, 4x4y6 |

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|Factor the binomial C Level |

|10. [pic] |11. 8x - 4 |12. 3x + 9 |

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|13. 12x - 8 |14. 9x + 15 |15. 10x - 25 |

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|Factor the polynomial. B Level |

|16. 6x4 + 15x3 - 3x2 |17. [pic] |18. [pic] |

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| A Level |

|19. [pic] |20. [pic] |21. [pic] |

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PRACTICE TEST

|Level C |Level B |Level A |

|1C. Factor out the GCF |1B. Factor out the GCF |1A. Factor out the GCF |

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|14x + 35 |18x5+ 27x3 – 3x |-48x9y4 +6x7y3 – 36x4 |

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RANDOM ANSWERS

|5(2x-5) |5 |5x |3x4y2 |

|6 |xy |3(3x+5) |4x2y(10y2+4x2y-3x4) |

|4(3x-2) |2x2y3 |x3 |9ab4(3a3-2a2b-b2) |

|2(5x+1) |3x2(2x2+5x-1) |4(2x-1) |1C 7(2x+5) |

|2x3 |4x2(2x3+3x2-4) |x5(10x4-5x2+1) |1B 3x(6x4 + 9x2 -1) |

|3(x+3) |6a |5x2(3+7x-4x3) |1A 6x4(-8x5y4 +x3y3 -6) |

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