Which shows one way to determine the factors of x^3 + 5x^2 - 6x - 30 by grouping?

The factors of x^3 + 5x^2 - 6x - 30 are (x^2-6) (x+5).

Step-by-step explanation:

The given expression is:

x^3 + 5x^2 - 6x - 30

Group the first two terms and last two terms:

(x^3+5x^2) - (6x+30)

Now take common of each term:

x^2 (x+5) - 6 (x+5)

(x^2-6) (x+5)

Thus the factors of x^3 + 5x^2 - 6x - 30 are (x^2-6) (x+5).

You can further solve this:

(x^2-6) (x+5) = (x-√6) (x+√6) (x+5) ...