Question

Choose one of the factors of x^3 − 1331.

a. x − 11
b. x^2 − 11x + 121
c. x^2 + 22x + 121
d. None of the above

Answer 1

x^3 − 1331
= x^3 − 11^3
=(x - 11)(x^2 + 11x + 121)

answer
x − 11

Answer 2

x-11

Explanation:

`x^3 − 1331`

1331 can be written as 11^3

We apply a^3 - b^3 formula to the factor

`(a^3-b^3)= (a-b)(a^2+ab+b^2)`

`x^3 − 11^3`

'a' is x and 'b' is 11

Replace 'a' with x and b with 11

`(x^3-11^3)= (x-11)(x^2+11x+11^2)`

So one of the factor is (x-11)