Question

One of the factors of x³+8 is x+2. Find the other factor.

Answer 1

x^2 - 2x + 4

Explanation:

To find the other factor of x^3 + 8, we can use the formula for the sum of cubes: a^3 + b^3 = (a + b)(a^2 − ab + b^2)

In this case,

a = x and b = 2

x^3 + 8 = (x+2)(x^2 - 2x + 4)