Verified Answer :

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:

\(2[(x^2+ 3)(x + 2)]\)

Step-by-step explanation:

Given : \(2x^3 + 4x^2 + 6x + 12\)

To Find: factor Completely

Solution:

\(2(x^3 + 2x^2 + 3x + 6)\)

Taking 2 as common

\(2(x^2(x + 2) + 3(x + 2))\)

Now factorizing further

\(2[(x^2+ 3)(x + 2)]\)

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

Hence Option D is correct.

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