For this case we have the following polynomial roots: x = -1 / 3 x = 4 Let's assume that the correct polynomial is: 3x2 - 11x - 4 = 0 We evaluate the roots in the polynomial For x = -1 / 3: 3 (-1/3) ^ 2 - 11 (-1/3) - 4 = 0 3 (1/9) - 11 (-1/3) - 4 = 0 1/3 + 11/3 - 4 = 0 12/3 - 4 = 0 4 - 4 = 0 We observe that x = -1 / 3 is a root. For x = 4: 3 (4) ^ 2 - 11 (4) - 4 = 0 3 (16) - 44 - 4 = 0 48 - 48 = 0 We observe that x = 4 is a root. Answer: 3x2 - 11x - 4 = 0
