Final answer:
This high school mathematics question involves factoring a polynomial. To factorize the polynomial x³ - 8, identified as a difference of cubes, apply the formula (a - b)(a² + ab + b²). The result is (x - 2)(x² + 2x + 4).
Step-by-step explanation:
The subject of this question is
factoring a polynomial
. The polynomial given is
x³-8
. Recognize this as a difference of cubes because x³ is the cube of x and -8 is the cube of -2. The formula to factorize the difference of cubes a³ - b³ is (a - b)(a² + ab + b²). Here, a = x and b = 2. So, the factorization of the polynomial x³ - 8 is (x - 2)(x² + 2x + 4).
Learn more about Factoring Polynomials