Question 14 • Mathematics III
Factor out x: f(x) = x(3x⁴ − 2x + 7), so 0 is one potential root. For the remaining polynomial, the Rational Root Theorem says candidates are factors of 7 divided by factors of 3: ±1, ±7, ±1/3, and ±7/3. Together with 0, these match choice A.
AI-written and checked against the verified answer.