Question

factorize 3y^2+11y+6
please answer with step by step​

Answer 1

Answer:

(3y+2) × (y+3)

Step-by-step explanation:

3y² + 11y + 6

= 3y² +9y +2y +6

= 3y(y+3) +2(y+3)

= (3y+2)×(y+3)

Answer 2

Heyy Buddy!

3*y^2-(-11*y-6)=0

3y2+11y+6

3y2 + 2y + 9y + 6

Add up the first 2 terms, pulling out like factors :

                   y • (3y+2)  

Add up the last 2 terms, pulling out common factors :

                   3 • (3y+2)

(y+3)  •  (3y+2)

Hence, y = (-3) ; y = (-2/3)      

Hope my answer was clear enough.

:D