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If alpha and beta are two zeros of the quadratic polynomial x^2-1 find a quadratic polynomial whose zeros 2alpha / beta and 2 beta/alpha




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It is easy to find the zeroes of given quadratic : 

Letting \alpha=-1 and \beta=1

Therefore a quadratic with these zeroes is (x-(-2))(x-(-2))=\boxed{x^2+4x+4}

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