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1965 AMC 12 Question 19

AMC12 · 1965 AMC 12

Question 19

If $x^4+4x^3+6px^2+4qx+r$ is exactly divisible by $x^3+3x^2+9x+3,$ the value of $(p+q)r$ is:
  1. $-18$
  2. $12$
  3. $15$
  4. $27$
  5. $45$