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Find a quadratic polynomial whose sum an...

Find a quadratic polynomial whose sum and product, respectively, of zeros are given. Also find the zeros.
i] `- (3)/(2 sqrt(15)),-(1)/(2)`
ii] `(21)/(8),(5)/(16)`

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Verified by Experts

The correct Answer is:
i] `2 sqrt(5) x^(2) + 3x - sqrt(5)`
ii] `16 x^(2) - 42 x + 5`
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