write quadratic polynomial, sum of whose zeroes is 2 and product is -8
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Answer. Let S and P denotes respectively the sum and product of the zeros of a polynomial are \(2 \sqrt{3}\) and 2. Hence, the quadratic polynomial is \(g(x)=k\left(x^{2}-2 \sqrt{3} x+2\right)\)where k is any non-zero real number.
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