Question

Write a quadratic polynomial, sum of whose zeroes is 2 root 3 and their product is 2.

Answer 1

Sum of zeroes(S)=2√3
Product of zeroes(P)=2
Required polynomial=k[x^2-Sx+P]
                                   =k[x^2-2√3x+2]
                                   =x^2-2√3+2                {where k=1}