According to the Rational Root Theorem, the following are potential roots of f of x is equal to 60 x squared minus 57 x minus 18 negative 6 fifths , negative 1 fourth , 3 , 6 Which is an actual root of f of x ?

Substitute each candidate into f(x) = 60x² − 57x − 18. For x = −1/4, f(−1/4) = 60(1/16) − 57(−1/4) − 18 = 15/4 + 57/4 − 18 = 18 − 18 = 0. Therefore, negative one fourth is an actual root of f(x), which is choice C.

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