Answer
Sample answer:
$2x^{3}+x^{2}+6x+3=(2x+1)(x^{2}+3)$
Work Step by Step
Working backwards, select a binomial that will be a common factor, say $2x+1.$
For the first group, multiply it with $x^{2},$
$x^{2}(2x+1)=2x^{3}+x^{2}$
for the second group, multiply it with 3,
$3(2x+1)=6x+3$
So, our four term polynomial is
$2x^{3}+x^{2}+6x+3$
$2x^{3}+x^{3}+6x+3=x^{2}(2x+1)+3(2x+1)$
$=(2x+1)(x^{2}+3)$
