According to the rational root theorem, which statement about f(x) = 66x4 – 2x3 + 11x2 + 35 is true? any rational root of f(x) is a factor of 35 divided by a factor of 66. any rational root of f(x) is a multiple of 35 divided by a multiple of 66. any rational root of f(x) is a factor of 66 divided by a factor of 35. any rational root of f(x) is a multiple of 66 divided by a multiple of 35.

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 and are non zero then each rational solution x will be:

x= +/- Factors of / Factors of  

In the given polynomial we have:

66x4 – 2x3 + 11x2 + 35

= 35

= 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....