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1965 AMC 12 Question 40

AMC12 · 1965 AMC 12

Question 40

Let $n$ be the number of integer values of $x$ such that $P=x^4+6x^3+11x^2+3x+31$ is the square of an integer. Then $n$ is:
  1. $4$
  2. $3$
  3. $2$
  4. $1$
  5. $0$