Factor Polynomial

3y^2+y-14

Factored Form: (y - 2) (3y + 7)

Step-by-step explanation:

1. Let us first write down the problem at hand: 3y^2 + y - 14

2. Now let us break this expression into groups:

3y^2 - 6y + 7y - 14 ⇒ (3y^2 - 6y) (7y - 14)

3. Factor 3y from 3y^2 - 6y:

3y^2 - 6y ⇒ 3y (y - 2)

4. Factor 7 from 7y - 14:

7y - 14 ⇒ 7 (y - 2)

5. Substitute Step #3, 4 ⇒ Step #2:

3y (y - 2) + 7 (y - 2)

6. Factor common term y - 2:

Answer: (y - 2) (3y + 7)