Find the quadratic polynomial where sum and product of the zeros one a and 1/a.

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Please find below the solution to the asked query:

$$\begin{gathered} \mathrm{Quadratic} \mathrm{Equation} \mathrm{is} \\ \mathrm{k}\left[{\mathrm{x}}^2-\left(\mathrm{Sum} \mathrm{of} \mathrm{roots}\right)\mathrm{x}+\mathrm{Product} \mathrm{of} \mathrm{roots}\right]=0 \\ \Rightarrow \mathrm{k}\left({\mathrm{x}}^2-\left(\mathrm{a}\right)\mathrm{x}+\frac{1}{\mathrm{a}}\right)=0 \end{gathered}$$

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