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sum of the zeroes of the polynomial = α + β = -b/a = -1/2
-b = -1 => b= 1
and a = 2
now, product of the zeroes = αβ = c/a = -3
=> c/2 = -3 => c = -3 x 2 = -6
so, the quadratic equation will be:
x² - (α + β)x + αβ
= x² -(-1/2) -3
= x² +1/2x -3
= 2x² + x - 3
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