Answer:
choice C. Perfect square trinomial is correct.
Step-by-step explanation:
We need to find the pattern which is represented by the polynomial [tex]4x^2+12x+9[/tex].
To find that pattern, we need to factor [tex]4x^2+12x+9[/tex]
[tex]4x^2+12x+9[/tex]
[tex]=4x^2+6x+6x+9[/tex]
[tex]=2x(2x+3)+3(2x+3)[/tex]
[tex]=(2x+3)(2x+3)[/tex]
[tex]=(2x+3)^2[/tex]
which is a perfect square.
Hence choice C. Perfect square trinomial is correct.
