# 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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