The factors of $4 x^{3} + 4 x^{2} + x + 1$ in the following

2 x + 1

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2 x + 3

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x + 1

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4 x^{2} + 1

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Solution

The correct options are
C $x + 1$
D $4 x^{2} + 1$
$4 x^{3} + 4 x^{2} + x + 1$

$= 4 x^{2} (x + 1) + 1 (x + 1)$

$= (x + 1) (4 x^{2} + 1)$

The factors are $(x + 1)$ and $(4 x^{2} + 1)$

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