If α and β are the zeros of the quadratic polynomial , from a 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 = = =
⇒ 2×-2× = 2-) [Using (a + b)2 = a2 + b2 + 2ab]
Product of the zeros of new eqn = =