Answer
No;
if we factored out the GCF from each pair of terms, there would be no common factor.
Work Step by Step
Factoring out the GCF from each pair of terms,
$6q^{3}+2q^{2}=2q^{2}(3q+1)$
$12q-3=3(4q-1)$
So,
No;
if we factored out the GCF from each pair of terms, there would be no common factor.
