Yes!
To determine if x + 2 is a factor of x^3 + 8, you can use the factor theorem.
The factor theorem states that if you substitute the root of a potential factor into the polynomial, the result should be equal to zero.
In this case, you need to check whether x + 2 is a factor of x^3 + 8 by setting x = -2: (-2)^3 + 8 = -8 + 8 = 0.
Since substituting x = -2 results in the polynomial equaling zero, x + 2 is indeed a factor of x^3 + 8.