1.   Refer to the diagram below. This is an example of a _____.
   
    A. factor tree B. greatest common factor
    C. composite list D. prime number
    Hint

  2.   The product of the prime factors common to two integers is called the _____.
    A. least common denominator B. prime factorization
    C. composite term D. greatest common factor
    Hint

  3.   The diagram below shows a model of a factorization of a binomial using algebra tiles. Select the correct factorization shown by the model.
   
    A. 3x(x + 3) B. 3x(x + 2)
    C. 3(x + 2) D. 3(x + 3)
    Hint

  4.   Factor the polynomial 45y2 + 9y.
    A. y(45y + 9) B. 3y(15y + 3)
    C. 9y(5y2 + 1) D. 9y(5y + 1)
    Hint

  5.   Refer to the diagram. A city park will use a portion of the park for a garden. The shaded region will be the area of the park without the garden. Express the area of the shaded region in factored form.
   
    A. (x + 3)(x – 5) B. 2(x + 3)(x – 5)
    C. 2(x2 – 2x – 15) D. 2(x – 3)(x + 5)
    Hint

  6.   Factor the trinomial 5x2 – 7x + 2.
    A. prime B. (5x – 2)(x – 1)
    C. (5x – 2)(x + 1) D. (5x – 1)(x + 2)
    Hint

  7.   Factor the trinomial 10x2 + 13x – 3.
    A. (2x + 3)(5x – 1) B. (2x – 3)(5x + 1)
    C. prime D. (2x – 1)(5x + 3)
    Hint

  8.   Select the trinomial that is not a perfect square trinomial.
    A. 25x2 + 40x + 16 B. x2 + 9x + 3
    C. x2 + 8x + 16 D. 9x2 – 6x + 1
    Hint

  9.   The area of a square is 4x2 + 12x + 9. Find the perimeter.
    A. 4x + 6 B. 8x + 12
    C. 4x – 6 D. 8x + 3
    Hint

  10.   Factor the trinomial x2 – 11x – 42.
    A. (x – 14)(x +3) B. (x – 14)(x – 3)
    C. (x + 14)(x + 3) D. (x + 14)(x – 3)
    Hint



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