Question

2+√3 and 2-√3 find the quadratic polynomial whose sum of zero and product of zero are respectively

Answer 1

So the quadratic polynomial is

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

Answer 2

$sum \: of \: zeroes \: = 2 + \sqrt{3} \\ product \: of \: zeroes = 2 - \sqrt{3} \\ quadratic \: polynomial \\ = k( {x}^{2} - x( \alpha + \beta ) + \alpha \beta ) \\ = k( {x}^{2} - x(2 + \sqrt{3} ) + 2 - \sqrt{3}) \\ = k( {x}^{2} - 2x + \sqrt{3} x + 2 - \sqrt{3} )$

I am sorry I am not confused and not getting answer.