Find a quadratic polynomial whose zeros are 7 - 5^2 and 7 + 5^2
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Transcript. Question 23 Find a quadratic polynomial whose zeroes are 5 - 3√2 and 5 + 3√2.Given Zeros 5 - 3√2 and 5 + 3√2. So, Sum of Zeroes = (5 - 3√2) + (5 + 3√2) = 10 Product of Zeroes = (5 - 3√2) × (5 + 3√2) = 52 − (3√2)2 = 25 − 9 × 2 = 25 − 18 = 7 The Required polynomial is p(x) = x2 − (Sum of Zeroes)x + Product of Zeroes = x2 − 10x + 7
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