Question 9659
Factor:

{{{y^2+7y+12}}}  You want to find two integers whose sum is +7 (from +7y) and whose product is +12 (from the constant term of +12)

It doesn't take much effort to see that the only possibilities are: +3 and +4.

So the factors of:{{{y^2+7y+12}}} are {{{(y+3)(y+4)}}} and you can easily verify this by the use of the FOIL method of multiplying these two factors.