How do you factor #y^3 + 7y^2 + y + 7# by grouping?

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Answer 1 · 2017-05-23T01:00:08

#(y+7)(y^2+1)#

Group the first two terms and the last two terms together:

#(y^3+7y^2)+(y+7)#

Now factor what you can from each group:

#y^2(y+7)+1(y+7)#

Now factor out #y+7# from the whole thing:

#(y+7)(y^2+1)#