Question

Form the quadratic equation whose roots are $4$ and $8$.

Answer 1

The given roots are $4$ and $8$
Let $\alpha =4$ and $\beta =8$
$\alpha +\beta =4+8=12$
and $\alpha \times \beta =4\times 8=32$
The requried quadratic equation is
$x^2-(\alpha +\beta )x+\alpha .\beta$
$x^2-12x+32=0$