Question

How do you factor `3x^2+6x+x+2`?

Answer 1

`(x+2)(3x+1)`

Explanation:

Your immediate question should be: why have they chosen this format for the question?

Notice that they split the terms. So does this imply a repeat of some form?

Notice that for `3x^2+6x->3x(x+2)` and the `x+2` is the right hand split part. So we write:

`3x^2+6x+x+2" "->" "(3x^2+6x)+(x+2)`
`" "3x(x+2)color(white)(..)+1(x+2)`

Factor out the `(x+2)` giving

`" "(x+2)(3x+1)`