Question

Factor completely x3 + 7x2 − 2x − 14.

Answer 1

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

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)....

Answer 2

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

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)