Mathematics
Grade10
Easy

Question

Factor 10x2 + 19x + 6

  1. (2x + 5)(3x + 2)
  2. (5x + 2)(2x + 3)
  3. (5x + 3)(2x + 4)
  4. (2x + 8)(5x + 3)

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


    a = 10, b = 19, c = 6
    ac = 60
    Factors of 60 are 15 and 4.
    15 + 4 = 19
    10x2 + 15x + 4x + 6 = 5x(2x + 3) + 2(2x + 3) = (5x + 2)(2x + 3)

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