Find the product $(x - 4)(x + 7)$.

Find the product $(x - 4)(x + 7)$.
  1. $x^{2} + 3x - 28$
  2. $x^{2} - 3x - 28$
  3. $x^{2} + 11x - 28$
  4. $x^{2} + 3x + 28$

Solution

$(x + (-4))(x + 7) = x^{2} + (-4+7)x + (-4)(7) = x^{2} + 3x - 28$.

Asked in: IMO

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