Question

Factor the trinomial below.
4x2 + 12x +9​

Answer 1

The factor of the trinomial is
`(2x+3)^2`

Step-by-step explanation:

The given trinomial is
`4x^(2) +12x+9`

We need to determine the factor of the trinomial.

The factor of the trinomial can be determined by finding the root of the trinomial.

Let us factorize the trinomial
`4x^(2) +12x+9`

Thus, the trinomial can be written as,

`4x^(2) +6x+6x+9`

Grouping the terms, we have,

`2x(2x +3)+3(2x+3)`

Simplifying the terms, we get,

`(2x+3)(2x+3)`

Multiplying the terms, we have,

`(2x+3)^2`

Thus, the factor of the trinomial is
`(2x+3)^2`