Answer:As for Rational Root Theorem, we substitute the given choices in the equation and if the value of f(x) is equal to 0 then, the certain choice is a root of the equation.
(1) -6/5 : f(x) = 60(-6/5)^2 - 57(-6/5) - 18 = 136.8
(2) -1/4: f(x) = 60(-1/4)^2 - 57(-1/4) - 18 = 0
(3) 3: f(x) = 60(3)^2 - 57(3) - 18 = 351
(4) 6: f(x) = 60(6)^2 -57(6) - 18 = 1800
Thus, the answer is the second choice.
Step-by-step explanation: