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

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

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\\\alpha +\beta =1\\ \alpha \beta =1

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

The required quadratic polynomial is x2 - x + 1

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