Which of the following is NOT a possible root of the function? (Hint: Use the rational root theorem, write out all the possible roots, and see which one is NOT on your list.) Please use any sources to help you. f(x)= 3x^3+2x^2+x+4

A. +4/3
B. +1
C. +3/4
D. +2

Given:

The function is

To find:

The value from the given options that is NOT a possible root of the function.

Solution:

According to rational root theorem, all possible roots are in the form of

We have,

Here,

Leading coefficient = 3.

Constant term = 4

Factors of 3 are ±1, ±3.

Factors of 4 are ±1, ±2, ±4.

Using rational root theorem, all possible roots of given functions are

Clearly, are possible roots but is not the possible root.

Therefore, the correct option is C.

the least common denominatore of 7 and 2 is 9

step-by-step explanation:

7+2=9