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

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

Answers (1)
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S Sayak

\\\alpha +\beta =\frac{1}{4}\\ \alpha \beta =-1

The required quadratic polynomial is

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

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