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SMO 2017 Senior Round 1 Question 4

SMO · SMO 2017 Senior Round 1

Question 4

When a polynomial is divided by $(x-2)$ and $x^2-3x+2$, the remainders are 11 and $Ax+5$ respectively, where $A$ is some integer. Find the remainder when it is divided by $(x-1)$.
  1. $7$
  2. $8$
  3. $9$
  4. $10$
  5. $11$