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# Choose one of the factors of x^{3} - 1331.

x - 11, x^{2} - 11x + 121, x^{2} + 22x + 121, None of the above

**Solution:**

We will be use the algebraic identity a^{3} - b^{3} = (a - b)(a^{2} + ab + b^{2})

Since we know that 1331 is a cube root of 11.

Using the identity a^{3} - b^{3} = (a - b)(a^{2} + ab + b^{2})

x^{3} - 1331 = x^{3} - (11)^{3}

= (x - 11)(x^{2} + 11 × x + (11)^{2})

= (x - 11)(x^{2} + 11x + 121)

As we can see that (x - 11) and (x^{2} + 11x + 121) are the factors of x^{3} - 1331.

## Choose one of the factors of x^{3 }- 1331.

**Summary:**

The factors of x^{3} - 1331 are (x - 11) and (x^{2} + 11x + 121).

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