Question

Which of the following is a factor of 8x3 + 1331?

2x − 11
4x2 + 22x + 121
4x2 − 44x + 121
None of the above

Answer 1

D) None of the above

Step-by-step explanation:

8x^3+1331

(2x+11)^3

There is no (2x+11), thus, the answer is D.

Answer 2

Answer: None of the above

The step by step solution

Step 1:

8 x3 - 1331

(Simplify and rewrite 8 x3 in the multiple of 2) >> (2x)3

So,

(2x)3 + 1331

Step 2:

Now we know that 1331 is a multiple of 11, simplify and Rewrite 1331 as (11)3

>>>

(2x)3+113

Step 3:

Using the expression:

a3+b3=(a+b)(a2−ab+b2) >>>

where a=2x and b=11

(2x+11)[(2x)2−(2x)⋅11+112]

Step 4 :

Simplifying the above equation would give:

The final answer would be:

(2x+11) (4x2−22x+121)