Question

Form the equation whose roots are $3$ and $-2$.

Answer 1

Given that the roots of equation are $3,-2$

Let the quadratic equation whose roots are $3,-2$ be $x^2+bx+c=0$

We know that, sum of the roots is $-b$

$\Rightarrow -b=3-2=1$

$\Rightarrow b=-1$

We know that the product of the roots is $c$

$\Rightarrow c=3\times -2=-6$

So the equation is $x^2-x-6=0$