Question

write a quadratic polynomial whose product of zeros and sum of zeros are 3+4 and -1+2 respectively.

Answer 1

$$\begin{gathered} \mathrm{Dear}\mathrm{Student}, \\ \mathrm{Product}\mathrm{of}\mathrm{zeroes}=3+4=7 \\ \mathrm{sum}\mathrm{of}\mathrm{zeroes}=-1+2=1 \\ \mathrm{So}\mathrm{quadratic}\mathrm{polynomial}, \\ ={\mathrm{x}}^2-\left(\mathrm{sum}\mathrm{of}\mathrm{zeroes}\right)\mathrm{x}+\mathrm{product}\mathrm{of}\mathrm{zeroes} \\ ={\mathrm{x}}^2-\mathrm{x}+7 \\ \mathrm{Regards} \end{gathered}$$