Question

What is the complete factorization of the polynomial below x^3+2x^2+4x+8

Answer 1

It is C.

Explanation:

Answer 2

c) (x + 2)(x + 2i)(x - 2i)

Explanation:

x^3 + 2x^2 + 4x + 8

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

= x^2( x + 2) + 4(x + 2)

= (x + 2)(x^2 + 4)

= (x + 2)(x^2 - 4i^2) ---------------------------->(i^2 = -1)

= (x + 2)(x + 2i)(x - 2i)