Question

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

Answer 1

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

Explanation:

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)`