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# Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. 0 , root 5

Q2 (3)  Find a quadratic polynomial each with the given numbers as the sum and product of zeroes respectively. $0,\sqrt{5}$

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$\\\alpha +\beta =0\\ \alpha \beta =\sqrt{5}$

$\\x^{2}-(\alpha +\beta )+\alpha \beta =0\\ x^{2}-0x+\sqrt{5}=0\\ x^{2}+\sqrt{5}=0$

The required quadratic polynomial is x2 + $\sqrt{5}$.

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