Question

write a quadratic polynomial , the sum of zeroes is 2√3 and their product is 2

Answer 1

Let the 2 zeroes be a (alpha) and b (beta) respectively,
Given that, sum of zeroes=2 root 3,
And product= 2,
Therefore, the quadratic polynomial must be in the form kz2 - (sum of the zerors)x + (product of the zeroes)
Kx2-2 root 3x + 2= Answer