Question

The polynomial x^3+8 is equal to

(X+2)(x^2-2x+4)
(X-2)(x^2+2x+4)
(X+2)(x^2-2x+8)
(X-2)(x^2+2x+8)

Answer 1

A

Explanation:

x³ + 8 ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

Thus

x³ + 8

= x³ + 2³

= (x + 2)(x²- 2x + 4)