Question:
$3 x^{3}+2 x^{2}+3 x+2=?$
(a) $(3 x-2)\left(x^{2}-1\right)$
(b) $(3 x-2)\left(x^{2}+1\right)$
(c) $(3 x+2)\left(x^{2}-1\right)$
(d) $(3 x+2)\left(x^{2}+1\right)$
Solution:
(d) $(3 x+2)\left(x^{2}+1\right)$
$3 x^{3}+2 x^{2}+3 x+2=x^{2}(3 x+2)+1(3 x+2)$
$=(3 x+2)\left(x^{2}+1\right)$
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