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Multiple choice

If $\alpha$ and $\beta$ are the zeroes of the polynomial $x^2-3x-2$, find the quadratic polynomial whose zeroes are $\dfrac {1}{2 \alpha+\beta}$ and $\dfrac {1}{2\beta + \alpha}$.

  1. $15x^2-9x+2$
  2. $16x^2+9x-1$
  3. $16x^2-9x+1$
  4. none

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C Correct answer

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