How do you factor y^2+5y+6

Question

Show work please.

Answer 1

 

y²+5y+6=0
y²+3y+2y+6=0
y(y+2)+2(y+3)=0
(y+2)(y+3)=0

Apply zero product property.

y+2=0 ----------> y = -2
y+3=0---------------> y = -3

Solution set y = -2 and -3

Comments

what are the factors for this???

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what are the factors for this??? We just learned this today in class (Im in algebra 1) and I'm totally confused. I have been since I started taking this class. High school sucks

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y^2+5y+6=y^2+3y+2y+6 =y(y+3)+2(y+3) =(y+3)(y+2) Factors are (y+3) and (y+2)