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For each of the following find a quadrat...

For each of the following find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also, find the zeroes of these polynomials by factorisation. (i) `(-8)/(3),(4)/(3)` (ii) `(-3)/(2sqrt(5)),-(1)/(2)`

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To solve the problem, we need to find quadratic polynomials based on the given sums and products of their zeroes. We will also find the zeroes of these polynomials through factorization. ### Part (i): Given Zeroes are `(-8/3)` and `(4/3)` **Step 1: Calculate the Sum and Product of Zeroes** - Sum of zeroes \( s = -\frac{8}{3} + \frac{4}{3} = -\frac{4}{3} \) - Product of zeroes \( p = \left(-\frac{8}{3}\right) \times \left(\frac{4}{3}\right) = -\frac{32}{9} \) ...
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