Multiply $(x^{2} + x + 1)$ by $(3 x + 2) .$

3 x^{3} + 5 x^{2} + 5 x + 2

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3 x^{3} + 4 x^{2} + 5 x + 2

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3 x^{3} + 5 x^{2} + 2 x + 2

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none of these

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Solution

The correct option is A $3 x^{3} + 5 x^{2} + 5 x + 2$
$(x^{2} + x + 1) \times (3 x + 2)$
$= x^{2}) (3 x + 2) + x (3 x + 2) + 1 (3 x + 2)$
$= 3 x^{3} + 2 x^{2} + 3 x^{2} + 2 x + 3 x + 2$
$= 3 x^{3} + 5 x^{2} + 5 x + 2$
Option A is correct.

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