Factorise $12x^{2} - x - 6$.

Factorise $12x^{2} - x - 6$.
  1. $(3x + 2)(4x - 3)$
  2. $(3x - 2)(4x + 3)$
  3. $(6x + 2)(2x - 3)$
  4. $(12x - 1)(x + 6)$

Solution

Product $= -72$, sum $= -1$: $8,-9$. $12x^{2}+8x-9x-6 = 4x(3x+2)-3(3x+2) = (4x-3)(3x+2)$.

Asked in: IMO

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