Question

What pattern is represented by the polynomial ?

Answer 1

Answer:

choice C. Perfect square trinomial is correct.

Step-by-step explanation:

We need to find the pattern which is represented by the polynomial $4x^2+12x+9$.

To find that pattern, we need to factor $4x^2+12x+9$

$4x^2+12x+9$

$=4x^2+6x+6x+9$

$=2x(2x+3)+3(2x+3)$

$=(2x+3)(2x+3)$

$=(2x+3)^2$

which is a perfect square.

Hence choice C. Perfect square trinomial is correct.