Answer:
last option is the polynomial
Explanation:
The easiest way to go about this is to look at the last statement
f(2) = 144
The solution to finding the polynomial is by substituting x = 2 into any of the polynomials; if after substituting, we have the value as 144, then the given polynomial is our answer
Let us have a look at each of the polynomials in the option;
1. 2(2)^7 -8(2)^5 + 2(2)^3 = 16
This cannot be our answer
2. 2(2)^7 - 2(2)^5 + 4(2)^3 = 224
This is not our answer
3. 2(2)^7 - 2(2)^5 + 144(2)^3 = 1,344
This is not our answer
4. 2(2)^7 -4(2)^5 + 5(2)^3 = 168
This is not our answer
5. 2(2)^7 -4(2)^5 + 2(2)^3 = 144
This is our answer