Question

The roots of quadratic equation are 3 and -1 , what will be the equation ?​

Answer 1

$\mathfrak{\huge \underline{Question:}}$

The roots of quadratic equation are 3 and -1 , what will be the equation ?

$\mathfrak{\huge \underline{Answer:}}$

Let $\alpha=3~ and ~ \beta=-1$

The quadratic equation whose roots are $\alpha~and~\beta$ are given by $x^2 - (\alpha+\beta) x +\alpha \beta$

Replace, the values of $\alpha~and~\beta$

We get,

$\huge \boxed {x^2-2x-3}$