Factor completely x^3+7x^2-2x-14

Step-by-step explanation:

Notice that x + 7 is a factor of the first two terms, and that it is also a factor of the last two terms. Thus,

x^3+7x^2-2x-14 = (x + 7) (x^2 - 2).

We could carry the factoring further, as follows:

(x + 7) (x^2 - 2) = (x + 7) (x - √2) (x + √2)