If $P = 2x^{2} - 3x + 1$ and $Q = -x^{2} + 4x - 5$, find $P + Q$.

If $P = 2x^{2} - 3x + 1$ and $Q = -x^{2} + 4x - 5$, find $P + Q$.
  1. $x^{2} + x - 4$
  2. $3x^{2} + x - 4$
  3. $x^{2} - x - 4$
  4. $x^{2} + x + 4$

Solution

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

Asked in: IMO

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