Answer:
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 )
