How do you factor 3y^2 + 21y + 36?

2 Answers
Apr 9, 2016

=3(y^2+7y +12)
=3(y^2+4y+3y +12)
=3(y(y+4)+3(y +4))
=3(y+4)(y+3)

Apr 9, 2016

(3y+9)(y+4)

Explanation:

Factors of 36 -> {1 , 36}, {2 , 18}, {3 , 12}, {4, 9}

Factors of 3 -> {1 , 3}

I have already experimented with these and found that the combination is:

3(y+3)(y+4)