(i) f(x) = k(x2 - 6x + 11)
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 equation
α + β + 4 = 2 + 4 = 6
Product of the zeros of new equation
(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 equation
Product of the zeros of new equation
Therefore equation is: