Question

Find a quadratic polynomial with sum of zeroes 2+√3 and product of zeroes 2+√3

Answer 1

${x}^{2} - (2 + \sqrt{3})x + (2 + \sqrt{3}$)

Answer 2

f(x)=x^2-(sum of zeros)x+product of zeroes
=x^2-(2+√3)x+(2+√3)
=x^2-2x-√3x+2+√3