## Algebra 1: Common Core (15th Edition)

Sample answer: $2x^{3}+x^{2}+6x+3=(2x+1)(x^{2}+3)$
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 $2x^{3}+x^{2}+6x+3$ $2x^{3}+x^{3}+6x+3=x^{2}(2x+1)+3(2x+1)$ $=(2x+1)(x^{2}+3)$