Question

How do you factor the trinomial `4x^2 + 12x + 9`?

Answer 1

`4x^2+12x+9=(2x+3)(2x+3)`

Explanation:

If we have a trinomial `ax^2+bx+c`, we split middle term `b` so the product of its parts is `axxc`. Here in `4x^2+12x+9`, product is `36` and we can split `12x` in to `6x+6x` which gives us

`4x^2+6x+6x+9` or

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

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