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
)