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