Question

the solutions to a certain quadratic equation are x=-4 and x=3

Answer 1

Then the equation could be ( x + 4)(x - 3) = 0

= x^2 + x - 12 = 0

Or it could be any equation that multiplies this equation by an integer k:-

k(x^2 + x - 12) = 0 ( k not = 0)