Question

How do you factor `9+ 12w + 4w ^ { 2}`?

Answer 1

See full explanation below

Explanation:

First, put this quadratic expression into the standard format:

`4w^2 + 12w + 9`

Next, "play" withe multipliers for 4 (1x4, 2x2, 4x1) and for 9 (1x9, 3x3, 9x1) to factor this quadratic into the form `color(red)((ax + b)(cx + d))`

`(2w + 3)(2w + 3)`