Question

Sum and product of zeroes of a quadratic polynomial are 0 and root15 respectively. Find the quadratic polynomial.

Answer 1

$$\begin{gathered} \mathrm{Hi}, \\ \mathrm{sum}\mathrm{of}\mathrm{roots}=0 \\ \mathrm{product}=\sqrt{15} \\ \mathrm{so}\mathrm{equadratic}\mathrm{equation} \\ ={\mathrm{x}}^2-\left(\mathrm{sum}\mathrm{of}\mathrm{roots}\right)\mathrm{x}+\mathrm{product}\mathrm{of}\mathrm{roots} \\ ={\mathrm{x}}^2+\sqrt{15} \\ \mathrm{Regards} \end{gathered}$$