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Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes res...
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Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
(i) \( \frac{1}{4},-1 \)
(ii) \( \sqrt{2}, \frac{1}{3} \)
(iii) \( 0, \sqrt{5} \)
(iv) 1,1
(v) \( -\frac{1}{4}, \frac{1}{4} \)
(i) \( \frac{1}{4},-1 \)
(ii) \( \sqrt{2}, \frac{1}{3} \)
(iii) \( 0, \sqrt{5} \)
(iv) 1,1
(v) \( -\frac{1}{4}, \frac{1}{4} \)
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