Find a quadratic polynomial whose zeroes are 2 +5√3 and 2-5/3.
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x²-4x-71 is the answer
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Given zeroes are
2+5√3 and 2-5√3
sum of zeroes
2+5√3 +2-5√3=4
product of zeroes
(2+5√3) (2-5√3)
(2)^2-(5√3)^2
4-75
-71
Equation is
x^2+(Sum of zeroes)x+ product of zeroes
x^2 +4x -71
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