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1956 AMC 12 Question 17

AMC12 · 1956 AMC 12

Question 17

The fraction $\dfrac{5x-11}{2x^2+x-6}$ was obtained by adding the two fractions $\dfrac A{x+2}$ and $\dfrac B{2x-3}.$ The values of $A$ and $B$ must be, respectively:
  1. $5x,$ $-11$
  2. $-11,$ $5x$
  3. $-1,$ $3$
  4. $3,$ $-1$
  5. $5,$ $-11$