Question

find a quadratic polynomial whose zeroes are 2+√6 and 2-√6​

Answer 1

given 2+√6 and 2-√6 are roots of a quadratic polynomial

therefore {x-(2+√6)}{x-(2-√6)}=0

(x-2-√6)(x-2+√6)=0

x^2-2x+√6x-2x+4-2√6-√6x+2√6-6=0

x^2-4x-2=0

therefore the required quadratic polynomial is

x^2-4x-2=0