Question

Choose one of the factors of x3 − 1331.

Answer 1

Answer A) x-11
Hope this helps!

Answer 2

Answer:

The correct option is:   $x-11$

Step-by-step explanation:

The given expression is:  $x^3 -1331$

If we factor out 1331, then we will get: $11\times 11\times 11$ which is $(11)^3$

So, the expression becomes:  $x^3- 11^3$

Now, the formula we need to apply here:  $a^3-b^3=(a-b)(a^2+ab+b^2)$

Applying the above formula......

$x^3-11^3\\ \\ =(x-11)(x^2+11x+11^2)\\ \\ =(x-11)(x^2+11x+121)$

So, one of the factors is  $x-11$