Respuesta :
Answer:
The correct option is: [tex]x-11[/tex]
Step-by-step explanation:
The given expression is: [tex]x^3 -1331[/tex]
If we factor out 1331, then we will get: [tex]11\times 11\times 11[/tex] which is [tex](11)^3[/tex]
So, the expression becomes: [tex]x^3- 11^3[/tex]
Now, the formula we need to apply here: [tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex]
Applying the above formula......
[tex]x^3-11^3\\ \\ =(x-11)(x^2+11x+11^2)\\ \\ =(x-11)(x^2+11x+121)[/tex]
So, one of the factors is [tex]x-11[/tex]
