Respuesta :

jhonyy9
2x^2(x+2) +6(x+2) = (2x^2 +6)(x+2) = 2(x^2 +3)(x+2)

so this mean that the 4th choice will be right sure 

Answer:

[tex]2[(x^2+ 3)(x + 2)][/tex]

Step-by-step explanation:

Given : [tex]2x^3 + 4x^2 + 6x + 12[/tex]

To Find: factor Completely

Solution:

[tex]2(x^3 + 2x^2 + 3x + 6)[/tex]

Taking 2 as common

[tex]2(x^2(x + 2) + 3(x + 2))[/tex]

Now factorizing further

[tex]2[(x^2+ 3)(x + 2)][/tex]

So, the factored form of [tex]2x^3 + 4x^2 + 6x + 12[/tex] is [tex]2[(x^2+ 3)(x + 2)][/tex]

Hence Option D is correct.

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