Answer
A
Work Step by Step
Find the GCF of $12x^{2}+9x+3$, which is $3$.
Factor out 3 from each term of $12x^{2}+9x+3$.
$12x^{2}+9x+3=3(4x^{2}+3x+1)$
Check your work by using the distributive property and distributing 3 to each term inside the parenthesis and see if the result is the original polynomial, $12x^{2}+9x+3$.
$3(4x^{2}+3x+1)=12x^{2}+9x+3$
Therefore, the correct answer choice is A.