Answer: С. 3x +2
Step-by-step explanation:
We have the following trinomial, which is also known as perfect square trinomial, because the first and the third term are squares:
[tex]9x^{2}+12x+4[/tex] (1)
First term:[tex]9x^{2}={(3x)}^{2}[/tex]
Third term:[tex]4=2^{2}[/tex]
If we factorize this expression we have:
[tex](3x+2)(3x+2)=9x^{2}+6x+6x+4=9x^{2}+12x+4[/tex]
As we can see, the trinomial (1) has two factors:
[tex](3x+2)[/tex] and [tex](3x+2)[/tex]
Therefore, the correct option is C.
