# Unit 6 Factoring - Math 1 Foundations: Question Preview (ID: 31309)

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What is the prime factorization of 42? |
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a) 1*2*3*4 | b) 2*2*3*4 | c) 2*3*3*7 | d) 2*3*7 | |

Factor 14x^3 + 7x^2 - 28x |
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a) 7x (3x -4) | b) 7 (2x^3 +x^2 -4x) | c) 4x (x^2 +7x -1) | d) 7x (2x^2 +x -4) | |

Factor the following: 169 - y^2 |
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a) (13 - y)(13 + y) | b) (13 - y)(13 - y) | c) (13 +y)(13 + y) | d) (12 - y)(12 + y) | |

When factoring, what do you always look for first? |
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a) Difference of Squares | b) GCF | c) 4 terms | d) Factoring By Grouping | |

Factor the following by grouping: 10x^2 - 5x +2x - 1 |
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a) (5x +1)(x - 1) | b) (5x +1)(2x - 1) | c) (x +1)(x - 1) | d) (10x +1)(2x + 1) | |

If a polynomial is in the form a^2+b^2, what is automatically the answer? |
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a) Infinitely Many Solutions | b) 1 | c) Prime | d) 0 | |

Factor the following using Difference of Squares: 16x^4 - 81y^6. |
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a) (4x^2 + 9y^3)(4x^2 + 9y^3) | b) (2x^2 - 3y^3)(2x^2 + 3y^3) | c) (x^2 - y^3)(x^2 + y^3) | d) (4x^2 - 9y^3)(4x^2 + 9y^3) | |

Factor the following by grouping: 3pz-9p+5z-15. |
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a) (3p +5)(z-3) | b) (9p +5)(z+3) | c) (9p +5z)(5z-3) | d) (p - 5)(z+3) | |

Find the GCF of 15x^3 - 35x^2 + 60x^4 |
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a) 35x^2 | b) 15x^2 | c) 15x | d) 5x^2 | |

Factor the following using Difference of Squares: 4x^2 - 49. |
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a) (4x - 7)(4x + 7) | b) (2x - 7)(2x + 7) | c) (2x - 7)(2x - 7) | d) (4x + 7)(4x +7) | |

What is the GCF between 20 and 35? |
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a) 1 | b) 4 | c) 5 | d) 10 | |

Find the GCF of 24x^3-16x^2+8x. |
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a) 8x | b) 8x^2 | c) 16 | d) 24x | |

What is the GCF between 30 and 60? |
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a) 1 | b) 2 | c) 15 | d) 30 | |

What is the prime factorization of 40? |
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a) 2*2*2*5 | b) 2*5 | c) 2*2*2*2*2*7 | d) 2*2*2*2*5 | |

What is the prime factorization of 120? |
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a) 2*2*2*3 | b) 2*2*2*3*5 | c) 2*2*2*5 | d) 1*2*0 | |

Factor the following: 16d^10 - f^8 |
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a) (8d^5 - f^4)(8d^5 + f^4) | b) (4d^5 - f^4)(4d^5 + f^4) | c) (8d^5 - f^4)(8d^5 - f^4) | d) (2d^5 + f^2)(2d^5 - f^2) | |

Find the GCF between 42 and 63. |
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a) 7 | b) 21 | c) 6 | d) 42 | |

Find the GCF for the following: 25x^4 - 5x^3 - 2x^2 |
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a) 2x | b) 2x^2 | c) x^2 | d) 5x | |

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