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If α and β are the zeros of the quadratic polynomial f(x) = x2 − 2x + 3, find a polynomial whose roots are (i) α + 2, β + 2 (ii) α-1α+1, β-1β+1.

Answer» If α and β are the zeros of the quadratic polynomial f(x) = x2 − 2x + 3, find a polynomial whose roots are (i) α + 2, β + 2 (ii) α-1α+1, β-1β+1.


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