Question

Quadratic polynomials, whose zeroes are –4 and 3 are given by ________.

Answer 1

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

$$\begin{gathered} =x^2-\left(-4+3\right)x+\left(-4\times 3\right) \\ =x^2-\left(-1\right)x+\left(-12\right) \\ =x^2+x-12 \end{gathered}$$

Hence, Quadratic polynomials, whose zeroes are –4 and 3 are given by x² + x – 12.