Answer:
To factor the four-term polynomial 7x + 14 + xy + 2y by grouping, we can group the first two terms and the last two terms together as follows:
(7x + 14) + (xy + 2y)
We can factor 7 out of the first two terms and y out of the last two terms:
7(x + 2) + y(x + 2)
Now we can see that we have a common factor of (x + 2) in both terms. Factoring this out, we get:
(7 + y)(x + 2)
Therefore, the factored form of the polynomial 7x + 14 + xy + 2y is (7 + y)(x + 2).