The factors of $(4 x^{3} + 12 x^{2} + 6 x + 18)$ is/are:

2x²+5

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4x²+6

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3x³+2

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None of these

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Solution

The correct options are
B
4x²+6

C
3x³+2

$4 x^{3} + 12 x^{2} + 6 x + 18 = 4 x^{2} (x + 3) + 6 (x + 3) = (x + 3) (4 x^{2} + 6)$

Thus, $(x + 3)$ and $(4 x^{2} + 6)$ are the two factors.

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The factors of $(4 x^{3} + 12 x^{2} + 6 x + 18)$ is/are:

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