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Find the zeroes of the quadratic polynomial x^2 -(√3 +1) x + √3 and verify the relationship between the zeroes and the coefficients.



Given polynomial is 
x^2 -(\sqrt3 +1) x + \sqrt3

x^2 - x -\sqrt3 x + \sqrt3

x(x-1) -\sqrt3(x-1)


Therefore, the zeros of the polynomial are: 1 and \sqrt3

Sum of the roots = (\sqrt3 +1)

Product of the roots = \sqrt3
0 0 0
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