Find the quadratic polynomial whose sum and product of its zero 2+√3 and 2-√3
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given,
sum of zeros of polynomial is 2+√3,& product of zeros is 2-√3
now quadratic equation is
x^2-(α+β)+αβ
=x^2-(2-√3+(2+√3))+2-√3*2-√3
x^2-(4)x+4-3
=x^2-4x+1
sum of zeros of polynomial is 2+√3,& product of zeros is 2-√3
now quadratic equation is
x^2-(α+β)+αβ
=x^2-(2-√3+(2+√3))+2-√3*2-√3
x^2-(4)x+4-3
=x^2-4x+1
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