Question

How do you factor `2x^2+4x+2`?

Answer 1

`2x^2+4x+1 = 2(x+1)^2`

Explanation:

`2x^2+4x+2`
`color(white)("XXXX")`Extract the obvious constant factor
`= 2(x^2+2x+1)`
`color(white)("XXXX")`Recognize the "sum of squares" component
`= 2(x+1)(x+1)`