3 years ago

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

Mathematics

2 answers:

vagabundo [1.1K]3 years ago

3 0

Answer:

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

Step-by-step 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)

Ludmilka [50]3 years ago

3 0

Answer:

It is C.

Step-by-step explanation:

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