Question

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The polynomial x3 + 8 is equal to
a. (х + 2)(х2 – 2х + 4).
b.(х – 2)(х2 + 2х + 4).
c(х + 2)(х2 – 2х + 8).
d.(х – 2)(х2 + 2х + 8).

Answer 1

a

Explanation:

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

a³ + b³ = (a + b)(a² - ab + b²)

Given

x³ + 8

= x³ + 2³

= (x + 2)(x² - 2x + 4) ← in factored form