Question

Which of the following is a factor of 8x^3+1331

Answer 1

2x-11
if you take the cube root of the entire answer
it would be 2x-11

Answer 2

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 :

$E=8x^3+1331$

We will be using the following factorization formula :

$a^3+b^3=(a+b)(a^2-ab+b^2).$

Therefore, the factorization of the given expression is as follows :

$E\\\\=8x^3+1331\\\\=(2x)^3+11^3\\\\=(2x+11)((2x)^2-2x\times 11+11^2)\\\\=(2x+11)(4x^2-22x+121).$

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.