2 and -3 are the roots of?

To find the quadratic equation from its roots, we use the principle that if 'a' and 'b' are the roots, then the equation can be written as (x - a)(x - b) = 0. Given the roots are 2 and -3, we substitute these values into the formula.

• For the root 2, the factor is (x - 2).
• For the root -3, the factor is (x - (-3)), which simplifies to (x + 3).

Therefore, the correct equation is (x - 2)(x + 3) = 0, making option A accurate. The other options would yield different roots:

• Option B, (x - 3)(x - 4) = 0, has roots 3 and 4.
• Option C, (x + 2)(x + 3) = 0, has roots -2 and -3.
• Option D, (x - 2)(x - 3) = 0, has roots 2 and 3.