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1979 AMC 12 Question 25

AMC12 · 1979 AMC 12

Question 25

If $q_1(x)$ and $r_1$ are the quotient and remainder, respectively, when the polynomial $x^8$ is divided by $x+\frac12,$ and if $q_2(x)$ and $r_2$ are the quotient and remainder, respectively, when $q_1(x)$ is divided by $x+\frac12,$ then $r_2$ equals
  1. $\frac1{256}$
  2. $-\frac1{16}$
  3. $1$
  4. $-16$
  5. $256$