Factorise $x^{2} - 5x + 6$.

Factorise $x^{2} - 5x + 6$.
  1. $(x - 2)(x - 3)$
  2. $(x + 2)(x + 3)$
  3. $(x - 1)(x - 6)$
  4. $(x - 2)(x + 3)$

Solution

Need $a+b=-5, ab=6$: $a=-2,b=-3$. $x^{2}-5x+6=(x-2)(x-3)$.

Asked in: IMO

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