Answer
To determine the potential rational roots of the function f(x) = 5x³ Р7x + 11 using the Rational Root Theorem, we start by identifying the constant term, which is 11, and its factors, namely 1 and 11. The leading coefficient is 5, with factors being 1 and 5. According to the theorem, the potential rational roots are found from the combinations of these factors: ±(1, 11)/(1, 5). This results in potential roots of: ±1, ±11, ±1/5, and ±11/5.\\\ Thus, the potential rational roots are:\\±1, ±11, ±1/5, ±11/5
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