Answer:
choice C. Perfect square trinomial is correct.
Explanation:
We need to find the pattern which is represented by the polynomial
.
To find that pattern, we need to factor
![4x^2+12x+9](https://img.qammunity.org/2020/formulas/mathematics/high-school/mcl0cplwilbyysiqzs2w4mx1twksfq10a6.png)
![4x^2+12x+9](https://img.qammunity.org/2020/formulas/mathematics/high-school/mcl0cplwilbyysiqzs2w4mx1twksfq10a6.png)
![=4x^2+6x+6x+9](https://img.qammunity.org/2020/formulas/mathematics/high-school/n6teoungdhh5trbi8wean5ea2ycym5dgk3.png)
![=2x(2x+3)+3(2x+3)](https://img.qammunity.org/2020/formulas/mathematics/high-school/3jgbgtzblt2tvukcwe4a2q0jjjhe8eev3i.png)
![=(2x+3)(2x+3)](https://img.qammunity.org/2020/formulas/mathematics/high-school/oj4rpp67xlvd7kvd7im3uhu5bof0rfuscz.png)
![=(2x+3)^2](https://img.qammunity.org/2020/formulas/mathematics/high-school/1bx7ysi340af09tqsxvc9l5zbcy7itw5oa.png)
which is a perfect square.
Hence choice C. Perfect square trinomial is correct.