Question

How do you factor completely `4x^2 - 12x + 8`?

Answer 1

`4(x-1)(x-2)`

Explanation:

Given
`color(white)("XXX")4x^2-12x+8`

Extract the constant factor of `4`
`color(white)("XXX")=4(x^2-3x+2)`

Since `(-1)+(-2)=(-3)` and `(-1)xx(-2)=2`
`color(white)("XXX")=4(x-1)(x-2)`