Question

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

Answer 1

Answer:

$2(3r-2)(r+3)$

Step-by-step 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):

$2(3r-2)(r+3)$

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To check:

(Multiply First, Outside, Inner, Last):

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

Combine like terms:

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

Distribute the $2$:

$6r^2+14r-12$

Answer 2

Answer:

$2(3r-2)(r+3)$

Step-by-step explanation:

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

$6r2+14r-12$

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