Mathematics
Grade10
Easy

Question

Factor the trinomial to find the possible dimensions of the rectangle.

  1. (2x – 1)(3x + 5)
  2. (2x + 1)(3x – 5)
  3. (x + 5)(6x – 1)
  4. (6x + 5)(x – 1)

The correct answer is: (2x – 1)(3x + 5)


    6x2 + 7x – 5
    a = 6, b = 7, c = -5
    ac = -30
    Factors of -30 are 10 and -3.
    10 + (-3) = 7
    6x2 + 10x – 3x – 5 = 2x(3x + 5) – 1(3x + 5) = (2x – 1)(3x + 5)

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