Question

Choose one of the factors of x3 − 1331.

x − 11
x2 − 11x + 121
x2 + 22x + 121
None of the above

Answer 1

Answer A) x-11
Hope this helps!

Answer 2

The correct option is:
`x-11`

Explanation:

The given expression is:
`x^3 -1331`

If we factor out 1331, then we will get:
`11* 11* 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`