If α and β are zeroes of the polynomial f(x) = x2 – px + q, then find the values of: (a) α 2 + β 2 (b) α 3+ β 3 (c) α β 1 1 + (d) (5α + 2β) × (2α + 5β) (e) α 3β 2 + α 2β 3 .
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