Answer:
[tex]-5x^3 + 8[/tex]
Step-by-step explanation:
See comment for complete question
Given
[tex]Degree \to 3rd[/tex]
[tex]Constant \to 8[/tex]
[tex]Type \to Binomial[/tex]
Required
Which of the options is true
[tex]Type \to Binomial[/tex]
This implies that the polynomial has just 2 terms
The above shows that (a), (b) and (c) are not true because they have more than 2 terms
[tex]Degree \to 3rd[/tex]
This implies that the highest power of x is 3
[tex]Constant \to 8[/tex]
The second term of the polynomial must be +8
Only (d) satisfy the above conditions