The equation whose roots are –2 and 3 is:

Correct option is B

Given:

Roots of the equation are −2 and 3.

Concept Used:
For a quadratic equation, if the roots are $$r_1$$​ and $$r_2$$​, the equation can be written as:

​$$(x - r_1)(x - r_2) = 0$$​​

Solution:​
The roots are $$r_1 = -2$$​ and $$r_2 = 3$$​. The equation becomes:

(x + 2)(x - 3) = 0

Now, expand the equation:

​$$x^2 - 3x + 2x - 6 = 0$$​​

​$$x^2 - x - 6 = 0$$​​

The equation is $$x^2 - x - 6 = 0.$$​​