If α and β are the zeros of the quadratic polynomial , find a quadratic polynomial whose zeros are .

A quadratic equation when sum and product of its zeros is given by:


, where k is a constant


Sum of the roots = = = =


Product of the roots = = =


Sum of the zeros of new eqn = = = [Using (a + b)2 = a2 + b2 + 2ab]


= = = -4


Product of the zeros of new eqn = = 4



)


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