Final answer:
The factors of equation x^3 - 4 are (x - 2) and (x^2 + 2x + 4).
Step-by-step explanation:
The factors associated with the equation x^3 - 4 can be found by factoring it using the difference of cubes formula.
The formula for the difference of cubes is:
= a^3 - b^3
= (a - b)(a^2 + ab + b^2).
In this equation, x^3 - 4 can be written as:
=> (x - 2)(x^2 + 2x + 4).
Therefore, the factors associated with the equation x^3 - 4 are (x - 2) and (x^2 + 2x + 4).