$\mathit{Q}\mathbf{.}If\alpha and\beta arethezeroesofthequadraticpolynomialf\left(x\right)={x}^{2}-2x+3,findapolynomialwhoserootsare\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}1.\alpha +2,\beta +2\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}2.\frac{\alpha -1}{\alpha +1},\frac{\beta -1}{\beta +2}$

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