If \( \alpha \) and \( \beta \) are the zeros of the quadratic poly...

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If \( \alpha \) and \( \beta \) are the zeros of the quadratic polynomial \( f(x)=x^{2}-2 x+3 \), find a polynomial whose roots are (i) \( \alpha+2, \beta+2 \)
(ii) \( \frac{\alpha-1}{\alpha+1}, \frac{\beta-1}{\beta+1} \).
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