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1964 AMC 12 Question 16

AMC12 · 1964 AMC 12

Question 16

Let $f(x)=x^2+3x+2$ and let $S$ be the set of integers $\{0,1,2,\ldots,25\}.$ The number of members $s$ of $S$ such that $f(s)$ has remainder zero when divided by $6$ is:
  1. $25$
  2. $22$
  3. $21$
  4. $18$
  5. $17$