# 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

Consider the polynomial ,

Sum of the roots = = = = Product of the roots = = = New equation have zeroes as ,

⇒ Sum of the zeros of new eq = = =  [Using (a + b)2 = a2 + b2 + 2ab] = = -4

Product of the zeros of new eqn = = 4  )

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