Answer: The correct option is (D) None of the above.
Step-by-step explanation: We are given to select the correct factor of the following expression :
[tex]E=8x^3+1331[/tex]
We will be using the following factorization formula :
[tex]a^3+b^3=(a+b)(a^2-ab+b^2).[/tex]
Therefore, the factorization of the given expression is as follows :
[tex]E\\\\=8x^3+1331\\\\=(2x)^3+11^3\\\\=(2x+11)((2x)^2-2x\times 11+11^2)\\\\=(2x+11)(4x^2-22x+121).[/tex]
So, the required factors of the given expression are (2x + 11) and (4x² -22x +121).
None of these two are in the options.
Thus, (D) is the correct option.
