Factorise $x^{2} - 2x - 24$.

Factorise $x^{2} - 2x - 24$.
  1. $(x - 6)(x + 4)$
  2. $(x + 6)(x - 4)$
  3. $(x - 8)(x + 3)$
  4. $(x - 12)(x + 2)$

Solution

Need $a+b=-2, ab=-24$: $a=-6, b=4$. So $(x-6)(x+4)$.

Asked in: IMO

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