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If α and β are the zeros of the quadratic polynomial f(x) = x2 − p(x + 1) − c, show that (α + 1) (β + 1) = 1 − c.

Answer» If α and β are the zeros of the quadratic polynomial f(x) = x2 − p(x + 1) − c, show that (α + 1) (β + 1) = 1 − c.


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