Question

If the product of zeroes of the polynomial px²- 6x-6 is 4 find the value of p.

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{given}\mathrm{quadratic}\mathrm{polynomial}\mathrm{is}, \\ p{x}^2-6x-6 \\ \mathrm{Now}, \\ \mathrm{product}\mathrm{of}\mathrm{zeroes}=\frac{\mathrm{constant}\mathrm{term}}{\mathrm{coefficient}\mathrm{of}{x}^2} \\ \Rightarrow 4=\frac{-6}{p} \\ \Rightarrow 4p=-6 \\ \Rightarrow p=-\frac{3}{2} \end{gathered}$$