Mathematics
Grade10
Easy

Question

What is the factored form of 3x2 – 5x – 12?

  1. (x – 4)(3x + 1)
  2. (x – 3)(3x + 4)
  3. 3(x + 2)(x – 3)
  4. (x + 4)(3x – 9)

The correct answer is: (x – 3)(3x + 4)


    a = 3, b = -5, c = -12
    ac = -36
    Factors of -36 are -9 and 4.
    -9 + 4 = -5
    3x2 – 9x + 4x – 12 = 3x(x – 3) + 4(x – 3) = (3x + 4)(x – 3)

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