Factorise $x^{2} + 2x - 35$.

Factorise $x^{2} + 2x - 35$.
  1. $(x + 7)(x - 5)$
  2. $(x - 7)(x + 5)$
  3. $(x + 35)(x - 1)$
  4. $(x + 5)(x + 7)$

Solution

Need $a+b=2, ab=-35$: $a=7, b=-5$. So $(x+7)(x-5)$.

Asked in: IMO

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