Question

Factor the following trinomial completely. Look first for the greatest common factor.

6r^2+14r−12

Answer 1

`2(3r-2)(r+3)`

Explanation:

Factor
`6r^2+14r-12`

`6r2+14r-12`

`=2(3r-2)(r+3)`

Answer 2

`2(3r-2)(r+3)`

Explanation:

`6r^2+14r-12`

Start by factoring out the greatest common factor,
`2`:

`2(3r^2+7r-6)`

Factor out the trinomial in the parentheses using the "Reverse FOIL" method (Write 2 parentheses and factor out the trinomial into them):

`2(3r-2)(r+3)`

_

To check:

(Multiply First, Outside, Inner, Last):

`2(3r^2+9r-2r-6)`

Combine like terms:

`2(3r^2+7r-6)`

Distribute the
`2`:

`6r^2+14r-12`