Answer:
C. 1/3
Step-by-step explanation:
You want to identify the rational number listed that cannot be a root of the given polynomial.
Rational root theorem
Possible rational roots will be off the form ...
± (divisor of the constant) / (divisor of the leading coefficient)
Application
When the divisors are listed, this is ...
±{1, 3, 9}/{1, 2}
This shows you that 3 cannot be the denominator of any possible rational root.
1/3 is not a possible zero of the function
__
Additional comment
The list of possible roots is ±{1/2, 1, 3/2, 3, 9/2, 9}.
As it happens, neither of the two real roots is rational.
<95141404393>
