If α and β are the zeros of the polynomial f(x) = x^{2} + x – 2, find the value of

It is given in the question that,

Zeros of the polynomial x^{2} + x - 2 are

Now by using the relationship between the zeros of the quadratic polynomial we have:

Sum of zeros = and product of zeros =

= and

= - 1 and

Now, we have:

= ()^{2}

=

=

=

=

() =

24