Question

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

Answer 1

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

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 $(2x+3)^2$