Which of the following is a factor of 8x³ + 1331?
2x - 11
4x² + 22x + 121
4x² - 44x + 121
None of the above

Solution:

The equation 8x³ + 1331 can be written as

(2x)³ + (11)³

Which is of the form a³ + b³ .

Now,

a³ + b³ = (a + b)(a² - ab + b²)

Therefore

(2x)³ + (11)³ = (2x + 11){(2x)² - (2x)(11) +(11)²}

= (2x + 11)(4x² - 22x + 121)

Hence the two factors are (2x + 11) and (4x² - 22x + 121)

Therefore the answer to the question is none of the above.

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

Summary:

“None of the above” choice is a factor of 8x³ + 1331.