Final answer:
The factor of x^3-64 is found using the difference of cubes formula, resulting in (x - 4) as a factor of the given polynomial.
Step-by-step explanation:
The question asks which expression is a factor of the polynomial x^3-64. To find a factor, we recognize that 64 is a perfect cube, and thus we can apply the difference of cubes formula, which is a^3 - b^3 = (a - b)(a^2 + ab + b^2). In this case, a is x and b is 4 since 4^3 equals 64. Therefore, the factor of x^3 - 64 is (x - 4).
When applying the formula, we have:
The expression (x - 4) is a factor of the polynomial x^3 - 64.