Answer:
27
Step-by-step explanation:
By the rational roots theorem, any rational roots of f(x) can be expressed in the form
[tex]\frac{p}{q}[/tex] for integers p and q
where p is a divisor o the constant term - 27 and q a divisor of the leading coefficient 1, that is the coefficient of x³
The divisors of - 27 are ± 1, ± 3, ± 9, ± 27
Since the leading coefficient is 1, then dividing by this number won't change a thing.
Thus the possible rational roots are
± 1, ± 3, ± 9, ± 27
[tex]\frac{p}{q}[/tex] = ± 1, 3, 9, 27
