Question

Factor the following four term polynomial by grouping 7x+14+xy+2y

Answer 1

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).