Question

The quadratic polynomials, the sum and product of whose zeroes are 7 and 12 are given by _________.

Answer 1

Quadratic polynomial with given zeroes is
x² – (sum of zeroes)x + (product of zeroes)

$$\begin{gathered} =x^2-\left(7\right)x+\left(12\right) \\ =x^2-7x+12 \end{gathered}$$

Hence, quadratic polynomials, the sum and product of whose zeroes are 7 and 12 are given by x² – 7x + 12.