Question

Find the quadratic polynomial, the sum of whose zeroes is −5 and their product is 6.

Answer 1

Given:
Sum of the zeroes = −5
Product of the zeroes = 6
∴ Required polynomial = $x^2-(\mathrm{sum}\mathrm{of}\mathrm{the}\mathrm{zeroes})x+\mathrm{product}\mathrm{of}\mathrm{the}\mathrm{zeroes}$
$$\begin{gathered} =x^2-\left(-5\right)x+6 \\ =x^2+5x+6 \end{gathered}$$