Factor completely x3 + 7x2 - 2x - 14.

the factors of x3 + 7x2 - 2x - 14. are (x^2-2) (x+7) ...

Step-by-step explanation:

x3 + 7x2 - 2x - 14.

We will group the terms.

Make pairs of the terms:

(x3 + 7x2) - (2x + 14.)

Now find the common factor of each pair

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

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

Thus the factors of x3 + 7x2 - 2x - 14. are (x^2-2) (x+7) ...

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

Step-by-step explanation:

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

We will factor by grouping

Take x^2 out of the first two terms and - 2 out of the last 2 terms

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

Now we can factor out (x+7)

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