If a and B are the zeroes of the polynomil f
(x) = x2 + x + 1, then - 2
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1
2a
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Let the required Quadratic polynomial be f(x) = ax² + bx + c. ∴ b = -3 and a = 1. So, The equation is f(x) = x² - 3x + 2. ∴ Therefore, there are infinitely many polynomials i.e more than 3.
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