write the polynomial whose zeroes are 2+√3 and 2-√3
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[x-(2+√3)][x-(2-√3)]
=[(x-2)-√3][(x-2)+√3]
=(x-2)^2-(√3)^2
=x^2-4x+4-3
=x^2-4x+1
=[(x-2)-√3][(x-2)+√3]
=(x-2)^2-(√3)^2
=x^2-4x+4-3
=x^2-4x+1
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