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2014 AMC 12B Question 16

AMC12 · 2014 AMC 12B

Question 16

Let $P$ be a cubic polynomial with $P(0) = k,$ $P(1) = 2k,$ and $P(-1) = 3k.$ What is $P(2) + P(-2)?$
  1. $0$
  2. $k$
  3. $6k$
  4. $7k$
  5. $14k$