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# Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. 4,1

Q2 (6)  Find a quadratic polynomial each with the given numbers as the sum and product of zeroes respectively. 4,1

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$\\\alpha +\beta =4\\ \alpha \beta =1$

$\\x^{2}-(\alpha +\beta )+\alpha \beta =0\\ x^{2}-4x+1=0\\$

The required quadratic polynomial is x2 - 4x + 1

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