1. 3h+11
2. -2r
3. g-4
4. 5f+4
5. 15z
Given:
The polynomial function is

To find:
The possible roots of the given polynomial using rational root theorem.
Solution:
According to the rational root theorem, all the rational roots and in the form of
, where, p is a factor of constant and q is the factor of leading coefficient.
We have,

Here, the constant term is 10 and the leading coefficient is 4.
Factors of constant term 10 are ±1, ±2, ±5, ±10.
Factors of leading term 4 are ±1, ±2, ±4.
Using rational root theorem, the possible rational roots are

Therefore, the correct options are A, C, D, F.
Answer: 1
Step-by-step explanation: 1. 4x4=16 4x4x4= -64x16= -1024