# Write a quadratic polynomial whose zeroes are root2, -root2?

$\begin{array}{l}\text{As we know that,}\\ x^2-\left(\alpha+\beta\right)x+\alpha\beta=0\\ \text{Given that,}\\ \alpha=\sqrt{2\ }\ ,\ \beta=-\sqrt{2}\\ \text{So,}\\ x^2-\left(\sqrt{2\ }-\sqrt{2}\right)x+\left(-\sqrt{2}\times\sqrt{2\ }\right)=0\\ x^2-2=0\end{array}$

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