Answer:
The correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....
Step-by-step explanation:
According to the rational root theorem:
if [tex]a_{0}[/tex] and [tex]a_{n}[/tex] are non zero then each rational solution x will be:
x= +/- Factors of [tex]a_{0}[/tex] / Factors of [tex]a_{n}[/tex]
In the given polynomial we have:
66x4 – 2x3 + 11x2 + 35
[tex]a_{0}[/tex] = 35
[tex]a_{n}[/tex] = 66
Therefore,
x= +/- Factors of 35/ Factors of 66.
Thus the correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....
