Question

What pattern is represented by the polynomial ?

Answer 1

choice C. Perfect square trinomial is correct.

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.