Question

Find a quadratic polynomial the sum and product of whose zeros are root2 and (1/3) respectively

Answer 1

Always remember this concept in formation of a Quadratic Polynomial:
x^2 - x(Sum of the roots) + (Product of the roots)

= x^2 - x(2+1/3) + (2*1/3)

= x^2 - 7x/3 + 2/3

It could still be simplified further by taking 1/3 common which becomes as:

1/3(3x^2 - 7x +2)