If α and β are the zeros of the quadratic polynomial , find the value of
.
Let and β are the roots of the given eqn
Sum of the roots = =
=
= -1
Product of the roots = =
=
= -2
=
=
[Using (a + b)2 = a2 + b2 + 2ab and (a - b)2 = a2 + b2 - 2ab]
⇒ =
=