The roots of a quadratic equation are -\(\frac{1}{4}\) and 3.

The quadratic equation in x

x =  -\(\frac{1}{4}\) or 3

(x + \(\frac{1}{4}\)) = 0 or (x - 3) = 0

(x + \(\frac{1}{4}\))(x - 3) = 0

x\(^2\) - 3x + \(\frac{x}{4}\) - 3(\(\frac{1}{4}\)) = 0

x\(^2\) - \(\frac{11x}{4}\) - \(\frac{3}{4}\) = 0

multiply thru by 4

4x\(^2\) - 11x - 3 = 0