## Introductory Algebra for College Students (7th Edition)

$2x^{6}+2x^{5}+2x^{4}+2x^{3}$ (sample answer)
Reversing the steps for finding the gcf, let's say we found it to be GCF = $2x^{3}$ The four terms can be generated by multiplying the gcf with $x^{3},x^{2}x,$ and 1: $2x^{3}\cdot x^{3}+2x^{3}\cdot x^{2}+2x^{3}\cdot x+2x^{3}\cdot 1 =$ = $2x^{6}+2x^{5}+2x^{4}+2x^{3}$