If α and β are the zeros of the quadratic polynomial 
, find a polynomial whose roots are (i) 
(ii) 
.
(i)
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 = 
= 
Product of the zeros of new eqn =
=
(ii) 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 = 
= 
= 
= 
= 
Product of the zeros of new eqn =
= 
= 
= 
= 
Therefore eqn is: 
= 
= 
= 
= 0
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