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 $\dfrac {1}{2\beta + \alpha}$.
Reveal answer
Fill a bubble to check yourself
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 $\dfrac {1}{2\beta + \alpha}$.