The roots of a quadratic equation are -3 and 1. Find its equation.
Answer Details
To find the equation of a quadratic equation, we can use the factored form, which is given by:
$$(x-r_1)(x-r_2)=0$$
where $r_1$ and $r_2$ are the roots of the equation.
In this case, the given roots are -3 and 1, so we have:
$$(x-(-3))(x-1)=0$$
$$(x+3)(x-1)=0$$
Expanding this expression gives us:
$$x^2+3x-x-3=0$$
Simplifying, we get:
$$x^2+2x-3=0$$
So the equation of the quadratic equation is $x^2+2x-3=0$. Therefore, option (C) is the correct answer.