Question

Form a quadratic equation, whose root's sum and product are $-3$ and $2$, respectively.

Answer 1

Equation of a quadratic polynomial

$x^2-(\alpha +\beta )x+\alpha \beta =0$ where $\alpha ,\beta =$ roots or zeros of equation

$\alpha +\beta =-3$ $\alpha \beta =2$ .... (given)

$\therefore x^2-(-3)x+2=0$

$x^2+3x+2=0$