Algebra I, part 1



|1. 2x + 10 |2. 3x + 15x2 |

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|3. 3ax2 + 15a2x |4. 2x6 - 4x5 + 20x4 |

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|5. 72x4 – 24x2 + 32 |6. 9a4b3 + 15a3b2 – 3a2b |

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Factoring by GROUPING!

|1. 12x2 + 15x - 28x - 35 |2. 4x2 + 8x + x + 2 |3. 4w + w3 – 7w2 – 28 |

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|4. 2x3 + 10x2 + 3x + 15 |5. y3 – y2 – 3y + 3 |6. 3xy + 12x4 +5vy+20vx3 |

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3 Terms!

(Trinomials)

|1. x2 + 8x +15 |2. x2 – 12x +32 |

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|3. x2 + 7x – 30 |4. x2 – 6x – 40 |

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

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|7. [pic] |8. [pic] |

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|9. x2 − 8x + 16 |10. 4x2 + 12x + 9 |

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|11. 9y2 + 60y + 100 |12. 16x2 − 8x + 1 |

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2 Terms!

(Binomials)

|1. m2 - 9 |2. 4x2 - 49 |

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|3. 36 - x2 |4. 49p2 - 81q2 |

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|5. 121 - 4x2 |6. 64x2 - 100 |

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|7. x3 + 64 |8. 8x3 – 125 |

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|9. 216x3 + 1 |10. 1000x3 - 343 |

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You can factor polynomials if they are in “Quadratic Form”.

|1. x2 + 8x + 12 |2. x4 + 8x2 + 12 |

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|3. x2 – 625 |4. x4 – 625 |

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Multi-Step Factoring

And some prime mixed in

(follow the flow chart!)

|1. 12x2 – 27 |2. x2 – 8x – 12 |

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|3. 3x2 – 75 |4. 2x3 – 16 |

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|5. 4x2 + 81 |6. 45x2 – 120x + 80 |

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|7. 25x3 – 5x2 – 50x + 10 |8. 5x2 + 125 |

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|9. 144x2 – 240x + 100 |10. 2x4 – 2000x |

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GCF[pic]

What do I need to remember when factoring using GCF?

4 Terms!

What do I need to remember when factoring using Grouping?

What do I need to remember when factoring Trinomials?

Perfect Square Trinomial: [pic]

What do I need to remember when factoring Binomials?

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Quadratic Form - 2:1:0 ratio

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