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1963 AMC 12 Question 21

AMC12 · 1963 AMC 12

Question 21

The expression $x^2-y^2-z^2+2yz+x+y-z$ has:
  1. no linear factor with integer coefficients and integer
    exponents
  2. the factor $-x+y+z$
  3. the factor $x-y-z+1$
  4. the factor $x+y-z+1$
  5. the factor $x-y+z+1$