The formula for the quadratic equation is expressed as
x^2 - (sum of roots)x + product of roots = 0
Given that the roots are x = 1/4 and x = - 3,
Sum of roots = 1/4 + - 3 = 1/4 - 3 = - 11/4
(Sum of roots)x = - 11x/4
Product of roots = 1/4 * - 3 = - 3/4
The quadratic equation would be
x^2 - - 11x/4 - 3/4
x^2 + 11x/4 - 3/4
Since integers are whole numbers, we would remove the fractions.
Multiplying through by 4, we have
4x^2 + 11x - 3