Question

If the product of the zeros of the quadratic polynomial x² − 4x + k is 3 then write the value of k.

Answer 1

By using the relationship between the zeros of the quadratic ploynomial.
We have
Product of zeroes = $\frac{\mathrm{constant}\mathrm{term}}{\mathrm{coefficent}\mathrm{of}{x}^2}$
$$\begin{gathered} \Rightarrow 3=\frac{k}{1} \\ \Rightarrow k=3 \end{gathered}$$